ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
Wednesday, March 9th
8.00am
Conference Registration
9.00am – 10.30am
Conference Opening Ceremony
10.30am – 10.45am
Coffee Break
11.00am – 1.00pm
Session 1
M. O. Oluwayemi
New Subclass of Univalent Analytic Functions with Fixed Finitely many Coefficients Defined by a
Generalised Salagean Differential Operator involving Modified Sigmoid Function
S. A. Yusuff and I. A. Osinuga
Construction of Broyden-Like Method for Nonlinear Equations
I. O. Olofin and I. A. Osinuga
On Broyden – Conjugate Gradient Methods for Solving Unconstrained Optimization Problem
Aliyu Sisa Aminu
Analysis of Darlington Pair in Distributed Amplifier Circuit
R. O. Jimoh, Y. M. Aiyesimi, M. Jiya and G. A. Bolarin
Approximate Solution of a Contaminant Flow in a Semi-Infinite Medium via the Weighted Residual
Method
Y.O. Afolabi
Classes of Analytic Functions Based on a Fractional Differential Operator
1.00am – 2 .00pm
Lunch Break
2.00pm – 2.50pm
First Plenary Session
Aderemi Adewumi
3.00–6.00pm
Session 2
Rasaq Oyeyemi Olayiwola
Modelling and Analytical Simulation of a Smouldering Carbonaceous Rod
Kanayo Stella Eke
Some Fixed Point Results for Contraction Mappings on E-uniform Spaces
Chinedu M. Peter and Dasharath Singh
Arithmetic Operations in Deterministic P System Based on the Weak Rule Priority
Chinedu Peter
Arithmetic Operations in Deterministic P Systems Based on the Weak Rule Priority
O. D. Ogwumu and M. O Ibrahim
Solution and Application of Biological Pest Control Models in Agriculture
1|Page
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
M.A.Ahmadu, E.N.Chifu and B.I.Tijjani
Schwarzschild’s Radius of Some Planets in the Solar System using Newtonian Expression for
Escape Velocity
Abdulrahman Ndanusa and Aliyu Umar Mustapha
Third and Fourth Order Trigonometrically Fitted Improved Runge – Kutta Methods
A. S. Odesola and I.O. Abiala
On Mathematical Structural Element Optimization using Large Dimensional Design Variables
U. Mohammed, R. B. Adeniyi, B. M. Yisa and A. I. Ma’ali
A Class of Block Hybrid Linear Multi-Step Method for the Solution of Third Order Boundary Value
Problem
Thursday, March 10th
9.00am – 9.50am
Second Plenary Session
Chris Thron
On-going Research in Applied Computational Mathematics
10.10am – 1.10pm
Session 3
Godwin Amechi Okeke
Round-Off Stability in Modular Function Spaces
J. Sunday, Y. Skwame and A. O. Adesanya
Two-Step Laguerre Polynomial Hybrid Block Method for the Solution of Real-Life Modeled FirstOrder Differential Equations
M. O. Oluwayemi and O. A. Fadipe-Joseph
Sigmoid Function in Univalent Functions Theory and Applications
B. A. Sawyerr, E. P. Fasina and S. E. Amadi
Discrete Enhanced Differential Evolution (DEDE) for Solving Combinatorial Optimization
Problems
N. Nyor, K. Rauf and J. O. Omolehin
Linear Programming Relaxation and Duality of Airline Crew Scheduling
Kamiludeen Rotimi
Maia-type Common Coupled Fixed Point Theorem in Cone Metric Spaces
O.J. Fenuga and F.I. Akinwale
Effects of Fluid Temperature, Shear Stress and Heat Transfer on a Wall Driven Steady Flow in a
Porous Plate
Ayodeji Sunday Afolabi
On the Optimal Control Problems Constrained by Delay Differential Equation using Penalty
Function with B-Spline
2|Page
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
S. E Olowo, Abdulhadi Aminu and I. M. Sulaiman
An Improved Version of Conjugate Gradient Coefficient with Global Convergence Properties for
Unconstrained Optimization
1.00am – 2 .00pm
2.00–6.00pm
Lunch Break
Session 4
S.A Okunuga and R.I. Abdulganiy
𝐿0 Stable Trigonometrically Fitted Block Backward Differentiation Formula of Adams Type for
Autonomous Oscillatory Problems
Olalekan Taofeek Wahab and Kamilu Rauf
On a Faster Hybrid Kirk-Multistep Schemes for Contractive-Type Operators
S. A. Somma, N. I. Akinwande, P. Gana, S. Abdulrahaman, T. T. Ashezua and Eguda, F. Y
Stability Analysis for a Model of Measles Incorporating Maternally-Derived-Immunity
E. A. Bakare and E. B. Are
Optimal Control Analysis of the Effect of Multiple Control Strategies on Cholera Disease
Transmission Dynamics in the Presence of Asymptotic Transmission
Ajibade Kehinde James and Adetunji Adeniyan
Mixed Convective Flow of a Viscous and Ohmic Dissipating Reactive Hydromagnetic Fluid Past a
Vertical Stretching Sheet
Y. Raji-Lawal Hanat and T. Adewale Adio
Comparism of Similarity Measure Methods, for the Evolvement of Modified Similarity Measure for
Detection of Character Misposition and Transposition within a String
A.O. Bello, O. M. Adetutu and F.A Oguntolu
The Maximum Likelihood Estimation of a Longitudinal Data of Household Income in the Presence
of Outlier Densities
O. M. Adetutu, Nyor Ngutor and A.O. Bello
Application of System of Linear Equations to a 3-Arm Roundabout Network Flows
S. A. Amoo
Effect of Chemical Reaction on Heat and Mass Transfer Embedded in a Porous Medium over an
Exponentially Porous Stretching Surface
C. R. Chikwendu and C. R. Emenonye
A Hybrid Dynamic Programming Technique for Optimizing Stock Allocation using Chebyshev
Polynomial Approximation
Y.O. Aderinto and O.M. Bamigbola
Optimal Control of Air Pollution via Electric Power Generating System Model
Abdulwahab Giwa and Saidat Olanipekun Giwa
Mathematical Modelling, Simulation and Optimization of a Reactive Distillation Process using
Matrix Laboratory
3|Page
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
Odina Gbeminiyi and Rotimi K. Ogundeji
Determining the Teaching Efficiency of University Lecturers using Data Envelopment Analysis
Friday, March 11th
9.00am – 2.00pm
Session 5
Obuandike Georgina N., Audu Isah and John Alhasan
Optimized Naïve Bayesian Algorithm for Efficient Performance
H. K. Oduwole, I. K. Joseph and K. S. Ikani
Modeling Rumour Propagation with Conditional Latent Period in a Varying Population
M. O. Oluwayemi and O. A. Fadipe-Joseph
Subclasses of Univalent Functions Based Salagean Differential Operator Involving Modified
Sigmoid Function with Finitely Many Fixed Coefficients
Akintola Kolawole
Designing of a Cost Effective Fibre Optic Network Backbone using Genetic Algorithm
R. K. Ogundeji, R. O. Okafor and I. A. Adeleke
Application of Optimization Techniques to the Operations
M. O. Oyesanya and E.N Unaegbu
The Effect of Rain on Earth-Space Radiowave Propagation Studies of Tropical Satellite
Communication in Nigeria
M.O Akintunde, G. A. Olalude and I. A. Adeleke
Forecasting the Volatility of Nigerian Inflation Rates using Artificial Neural Networks and ARIMA
Models
Peter O. Oluseyi, Babatunde A. Sawyerr and Tobi E. Shomefun
Optimization of Maintenance Strategy in Power Transmission System using Differential Evolution
Algorithm
Uyikumhe Damisa and Peter Olabisi Oluseyi
A Novel Economic Dispatch Model for Gas Maximization In Thermal Plants
B. A. Sawyerr, E. P. Fasina and O. O. Fagbohun
Solving Permutation-Based Combinatorial Optimization Problems using Simulated Annealing
Ebun P. Fasina, Babatunde A. Sawyerr and Oluwatobi A. Adetunji
The Fully-Adaptive Particle Swarm Optimization Algorithm
Ebun P. Fasina, Chika P. Ojiako and Ozioma A. Paul
The Range-Delimited Particle Swarm Optimization Algorithm
Ebun P. Fasina, Babatunde A. Sawyerr and Shuaibu B. Alkassim
The Foraging Bees Optimization Algorithm
Ebun P. Fasina, Babatunde A. Sawyerr and Oluwatoni P. Olatunji
The Foraging Ants Optimization Algorithm
4|Page
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
Samuel Adewale Aderoju and Emmanuel Teju Jolayemi
Poisson-Mixed Models for Count Data; An Application to Risk Analysis (Accident Data in Nigeria)
Johndamascene C. Imoh and A.N.P Uchegbulem
A Statistical Analysis of Reported Cases of Examination Malpractice in Nigeria
Olanrewaju Adeniyi Damilola
An Analytic Re-Examination of Foreign Trade Management and Economic Growth in Nigeria using
Factor Analysis Approach
A. Adeniyan and S. S. Okoya
Unsteady MHD Boundary-Layer Slip-Flow and Mass Transfer over a Convectively Heated
Stretching Cylinder Immersed in Porous Medium with Waste Discharge Concentration
Oladipupo Ajeyalemi
An Application of Conjoint Analysis to Passenger Preference Assessment within the Nigerian
Domestic Airline Industry
5|Page
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
New Subclass of Univalent Analytic Functions with Fixed
Finitely many Coefficients Defined by a Generalised
Salagean Differential Operator involving Modified Sigmoid
Function
M. O. Oluwayemi
[email protected]
Department of Mathematics,
Adeniran Ogunsanya College of Education,
Otto/Ijanikin, P.M.B. 2007,
Ijanikin, Lagos,
Nigeria
The author uses certain holomorphic univalent function involving modified sigmoid function
with a generalised Salagean operator to establish a new subclass of univalent functions. The
various results investigated in this paper include coefficient estimates, extreme points and radii
properties.
Keywords: Modified Sigmoid Function, Univalent Functions, Coefficient Estimates, Radii
Construction of Broyden-Like Method for Nonlinear
Equations
S. A. Yusuff
I. A. Osinuga
Department of Mathematics,
Federal University of Agriculture,
P.M.B. 2240,
Abeokuta.
In this work, we propose a new iterative method based on the quasi-newton approach for solving
systems of nonlinear equations using the weighted combination of midpoint and trapezoidal
rules. Our goal is to enhance the efficiency of the well-known Broyden method by reducing the
number of iterations it takes to reach a solution. Local convergence analysis and computational
results showing the relative efficiency of the proposed method are given.
Keywords: Broyden method, predictor-corrector, nonlinear systems, convergence, numerical
examples
6|Page
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
On Broyden – Conjugate Gradient Methods for Solving
Unconstrained Optimization Problem
I. O. Olofin
I. A. Osinuga
Department of Mathematics,
Federal University of Agriculture,
Abeokuta,
Ogun State.
The conjugate gradient method plays an important role in solving large – scaled optimization
problems and quasi – Newton method is known as the most efficient method in solving
unconstrained optimization problem. Previous researchers proposed hybrid search direction that
combines the search direction between conjugate gradient methods and quasi – Newton method
and yielded a new search direction of the hybrid method known as the BFGS – CG method.
In this paper, we shall extend the work of previous researchers by investigating the BFGS – CG
method with coefficients of CG such as Fletcher – Reeves, Hestenes – Stiefel, Polak – Riebere,
Dai and Yuan, and Liu and Storey. The BFGS – CG methods obtained shows significant
improvement in the total number of iterations and CPU time required to solve large scale
unconstrained optimization problems.
Keywords: Conjugate Gradient Method, Unconstrained Optimization Problem.
Analysis of Darlington Pair in Distributed Amplifier Circuit
Aliyu Sisa Aminu
[email protected]
Gombe State University
This paper presents the analysis of the Darlington pair as an element in a distributed amplifier
(DA) configuration. The Darlington pair circuit with the input and output inductor of the DA
transmission line are included in the analysis of the circuit, this is also simulated. The inherent
problem of poor performance is reduced by the inductors. The overall result shows that high
power gain at high frequency is achievable with Darlington pair as the stage element of a given
DA.
Keywords: Darlington Pair, Distributed Amplifier.
7|Page
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
Approximate Solution of a Contaminant Flow in a SemiInfinite Medium via the Weighted Residual Method
R. O. Jimoh
Y. M. Aiyesimi
M. Jiya
[email protected]
Department of Mathematics/ Statistics,
Federal University of Technology,
Minna, Nigeria
G. A. Bolarin
In this paper, an approximate analytical solution of two-dimensional contaminant flow problem
with non-zero initial concentration is provided. The equation is described by advection,
dispersion, adsorption, first order decay and zero-order source. We assume that the adsorption
term is modeled by Freudlich isotherm. We provide an approximation of this equation using
Bubnov-Galerkin method and solve the resulting system of initial value problem analytically.
The results obtained are presented in graphical form to show the effect of change in the
parameters on the concentration of the contaminants. Findings from this research show that the
contaminant concentration decreases with increase in the distance from the origin and increases
with increase in the zero-order source coefficient.
Keywords: Advection, Dispersion, Adsorption, Contaminant, Galerkin Weighted Residuals
Classes of Analytic Functions Based on a Fractional
Differential Operator
Y.O. Afolabi
[email protected]
Department of Mathematics,
Sokoto State University,
P.M.B. 2134,
Sokoto, Nigeria
In this work, with the aid of hadamard product we make use of a linear multiplier fractional
differential and integral operators to define new classes of analytic functions in the unit disk, |z| <
1. Coefficient properties concerning these classes were derived, results in this work is similar to
those obtained earlier in some literatures.
Keywords: Analytic function, fractional differential operator, hadamard product or convolution.
8|Page
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
Modelling and Analytical Simulation of a Smouldering
Carbonaceous Rod
Rasaq Oyeyemi Olayiwola
[email protected]
Nigeria Department of Mathematics and Statistics,
Federal University of Technology,
Minna, Nigeria
Modelling of pyrolysis and combustion in a smouldering fuel bed requires the solution of flow,
heat and mass transfer through porous media. This paper presents an analytical method to
describe the smouldering of a porous carbonaceous rod. We assume there is no perfect contact
between gas and solid phases so that no local thermal equilibrium exist between the phases.
Also, we assume that the initial temperatures increases lengthwise. The existence and uniqueness
of solution was examined by actual solution method. The coupled non-linear partial differential
equations describing the phenomenon have been decoupled using parameter-expanding method
and solved analytically using Eigen function expansion technique. It is discovered from the
results obtained that Frank-Kamenetskii number, Scaled thermal conductivity of gas and solid
phases and Species diffusion coefficient play a significant role in the slow burning process
associated with porous carbonaceous rod.
Keywords: Modelling and Simulation, Carbonaceous rod, Partial Differential Equations.
Some Fixed Point Results for Contraction Mappings on
E-uniform Spaces
Kanayo Stella Eke
We introduce the notion of E-uniform spaces and prove some fixed point theorems for
contraction maps on E-uniform spaces. Examples are given to support our results. The results
generalize and extend some results in literature.
Keywords: E-Uniform Spaces, Fixed Point Theorems
9|Page
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
Arithmetic Operations in Deterministic P Systems
Based on the Weak Rule Priority
Chinedu M. Peter
Dasharath Singh
[email protected]
[email protected]
Department of Mathematics,
Ahmadu Bello University,
Zaria,
Kaduna, Nigeria.
We construct a simple variant of P systems for arithmetic operations on non-negative integers
based on the weak priorities for rule application. Consequently, we obtain deterministic P
systems. It is verified that two membranes suffice. Moreover, there are at most four objects for
multiplication and five objects for division throughout the computation processes. The P systems
so obtained serve as bases upon which other complex operations may be built, and upon which
basic operations may be extended to cover the set of positive and negative real numbers.
Keywords: P System, Binary Operation, Determinism, Weak Rule Priority
Arithmetic Operations in Deterministic P Systems Based on
the Weak Rule Priority
Chinedu Peter
[email protected]
Federal University,
Dutsin-ma,
Katsina, Nigeria
We construct a variant of P systems for arithmetic operations on non-negative integers based on
the weak priorities for rule application. Consequently, we obtain deterministic P systems. Two
membranes suffice. There are at most four objects for multiplication and five objects for division
throughout the computation processes. The model is simple and has a potential for possible
extension to non-negative integers and real numbers in general
Keywords: P Systems, Weak Priority Rule
10 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
Solution and Application of Biological Pest Control Models
in Agriculture
O. D. Ogwumu
[email protected]
Department of Mathematics,
University of Ilorin,
P.M.B. 1515,
Ilorin, Nigeria.
M. O Ibrahim
The research is concerned with the development and application of a biological pest control
model in agriculture. In the study, the solution to the proposed biological pest control model was
obtained and validated with some collected prey-predator population data. The outcome of the
data validation showed that, biological pest control encourages large yields without polluting the
ecosystem and could be adopted as a substitute to the popularly known chemical mode of pest
control. The result thus recommends the model proposed as a standard means of pest control.
Keywords: Bio-Pest Control, Ecosystem-Friendly, Optimisation, Prey-Predator, Interaction,
Model Validity, Pollution, Ecosystem.
Schwarzschild’s Radius of Some Planets in the Solar System
using Newtonian Expression for Escape Velocity
M.A.Ahmadu
[email protected]
Gombe State University,
Gombe,
Nigeria
E.N.Chifu
Federal University Dutse,
Jigawa,
Nigeria
B.I.Tijjani
Bayero University,
Kano,
Nigeria
The need to understand black hole formation, property and absorption of other celestial bodies is
an interested issue in Astrophysics and Astronomy. The collapse of any mass to Schwarz child’s
radius appears to be unobservable beyond this radius thus, the name Schwarz child’s black hole.
The Schwarz child’s radius for the common some planets was computed using Newtonian
expression for escape velocity. Results obtained show that among the planets Jupiter require a very
large amount of gravitational pull to reduce to black hole with a radius smaller than the radius of
their surface and is similar to those obtained using different approaches
Keywords: Black Hole, Schwarzchild’s Radius, Newtonian Expression, Escape Velocity
11 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
Third and Fourth Order Trigonometrically Fitted Improved
Runge – Kutta Methods
Abdulrahman Ndanusa
Aliyu Umar Mustapha
[email protected]
[email protected]
Department of Mathematics,
Federal University of Technology,
Minna, Nigeria
A trigonometrically - fitted third and fourth order Improved Runge – Kutta (IRK) method whose
coefficients depend on the frequency and step – size are constructed. The methods are applied to
solve sample initial value problems (IVPs) with oscillating solutions. Numerical results obtained
are compared with those of existing explicit IRK methods of the same order. The comparison
shows that the trigonometrically fitted methods are much more effective and efficient than the non
– fitted methods, with similar cost.
Keywords: Oscillating Solution, Improved Runge – Kutta, Trigonometrically - Fitted, Initial Value
Problem
On Mathematical Structural Element Optimization using
Large Dimensional Design Variables
A. S. Odesola
I.O. Abiala
[email protected]
[email protected]
Department of Mathematics,
Faculty of Science,
University of Lagos, Akoka,
Lagos.
Structural optimization can be defined in a number of ways. However its principal objectives is
to found the best design out of many designs that satisfies a prescribed criterion. It can be
explained as a process of maximizing or minimizing a designed objective function while
satisfying the prevailing constraints. This paper seeks to address problems associated with large
dimension of design variables with a numerical method used for the generation of design of
experiments with higher dimensions. Numerical results are presented for the simulation to show
the efficiency and accuracy of the approach.
Keywords: Structural Optimization, Large Dimensional, Constraints, Simulation
12 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
A Class of Block Hybrid Linear Multi-Step Method for the
Solution of Third Order Boundary Value Problem
U. Mohammed
Department of
Mathematics and
Statistics,
Federal University of
Technology,
Minna, Nigeria
R. B. Adeniyi
B. M. Yisa
[email protected]
Department of
Department of
Mathematics,
Mathematics,
University of Ilorin,
University of Ilorin,
Ilorin,
Ilorin,
Nigeria
Nigeria
A. I. Ma’ali
Department of
Mathematics/Computer
science
Ibrahim Badamasi
Babangida University
Lapai,
Niger State, Nigeria
In this paper, we proposed a family of three step Hybrid Linear Multi-step Method (HLMM) for
direct solution of third order boundary value problems. Orders, error constant and convergence
analysis of the proposed method are established. The interval of absolute stability is calculated
using General Linear Method (GLM) techniques. Numerical experiment are performed to show
the efficiency of the methods
Keywords: Boundary Value Problem, Hybrid Linear Multistep Method.
Round-Off Stability in Modular Function Spaces
Godwin Amechi Okeke
[email protected]
Department of Mathematics,
Michael Okpara University of Agriculture,
Umudike, Abia State,
Nigeria
In this study, we prove some round-off stability theorems in modular function spaces. Our results
generalize and extend several known results in the framework of modular function spaces.
Keywords: Modular Function Space
13 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
Two-Step Laguerre Polynomial Hybrid Block Method for the
Solution of Real-Life Modeled First-Order Differential
Equations
J. Sunday
[email protected]
Department of Mathematics,
Adamawa State University,
Mubi,
Nigeria
Y. Skwame
A. O. Adesanya
Department of Mathematics,
Adamawa State University,
Mubi,
Nigeria
Department of Mathematics,
Modibbo Adama University
of Technology,
Yola, Nigeria
We develop a two-step hybrid block method for the solution of real-life modelled first-order
differential equations using the Laguerre polynomial as our basis function via interpolation and
collocation techniques. The paper further investigates the basic properties of the method and found
it to be zero-stable, consistent and convergent. The method was also tested on some sampled reallife modelled first-order differential equations and found to perform better than some existing
ones with which we compared our results.
Keywords: Hybrid, Laguerre Polynomial, Oscillatory, Stiff, Two-Step
Sigmoid Function in Univalent Functions Theory and
Applications
M. O. Oluwayemi
[email protected]
Department of Mathematics,
Adeniran Ogunsanya College of Education,
Otto/Ijanikin, P.M.B. 2007,
Ijanikin, Lagos,
Nigeria.
O. A. Fadipe-Joseph
[email protected]
Department of Mathematics,
University of Ilorin,
P.M.B. 1515, Ilorin,
Kwara State,
Nigeria.
Using a generalized Salagean differential operator involving modified sigmoid function introduced
by Fadipe-Joseph et al 2013, a new family of holomorphic functions 𝑓(𝑧) which is analytic and
univalent in the open unit disk 𝑈 = {𝑧: |𝑧| < 1 } are defined and its major geometric properties
established.
Keywords: Modified Sigmoid Function, Univalent Functions, Coefficient Estimates, Radii Of
Starlikeness, Fekete-Szego Inequality, Convolution Property.
14 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
Discrete Enhanced Differential Evolution (DEDE) for
Solving Combinatorial Optimization Problems
B. A. Sawyerr
[email protected]
E. P. Fasina
[email protected]
Machine Intelligence Research Group
Department of Computer Sciences
University of Lagos, Akoka,
Lagos, Nigeria
S. E. Amadi
Differential Evolution (DE) was proposed by Storn and Price in 1995 as an evolutionary
algorithm for solving optimization problems in the continuous domain. DE has been
successfully applied in solving complex real world numerical problems. Enhanced Differential
Evolution (EDE) was successfully used by Onwubolu and Davendra to solve different class of
permutation-based combinatorial optimization problems. In this paper, a novel version of EDE is
introduced and numerical experiments were carried out to compare the performances of EDE and
DEDE on 48 benchmark problems representing the Travelling Salesman Problem (TSP),
Quadratic Assignment Problems (QAP), Flow Shop Scheduling Problems (FSSP) and Linear
Ordering Problems (LOP). The results obtained shows that DEDE outperformed EDE.
Keywords: Discrete Differential Evolution, Combinatorial Optimization Problems
Linear Programming Relaxation and Duality of Airline Crew
Scheduling
N. Nyor
Department of Mathematics,
Federal University of
Technology Minna,
Niger State,
Nigeria
K. Rauf
Department of
Mathematics,
University of Ilorin,
Kwara State,
Nigeria
J. O. Omolehin
Department of
Mathematics,
Federal University
Lokoja,
Kogi State, Nigeria
In the work, an integer program (IP) of IRS airline crew formulation was considered. It was
relaxed to a minimization form of Linear Programming (LP). The duality of the LP in
minimization form yielded the maximization form of the LP problem. The results of the IP, LP
relaxation and its Dual consistently show the same objective value of 3,183 minutes, proving the
consistency and the characteristic property of duality.
Keywords: Rumor Models, Rumor Propagation, Political Motivated Rumour, Epidemiological
Models; Stability Analysis, Transition Parameter
15 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
Maia-type Common Coupled Fixed Point Theorem in Cone
Metric Spaces
Kamiludeen Rotimi
kamil [email protected]
The author uses certain holomorphic univalent function involving modified sigmoid function
with a generalised Salagean operator to establish a new subclass of univalent functions. The
various results investigated in this paper include coefficient estimates, extreme points and radii
properties.
Keywords: Cone Metric Space, Holomorphic Univalent Function
Effects of Fluid Temperature, Shear Stress and Heat
Transter on a Wall Driven Steady Flow in a Porous Plate
O.J. Fenuga
F.I. Akinwale
This work considers an incompressible axisymetric wall driven steady flow of a viscous fluid in
a uniformly porous tube of a circular cross section.
The governing continuity, navier-stokes and energy equations are solved using perturbation
series method thereby obtaining the equations of the temperature distribution of the fluid flow
pattern in the tube, the wall shear stress and the rate of heat transfer across the wall.
The graphical results show that the fluid temperature increases as the prandtl number increases
with maximum value at the pipe centreline and decreases transversely with minimum value at the
wall.
Also, increase in Reynolds number increases the fluid temperature with maximum magnitude at
the centre of the pipe and minimum at the wall. The wall shear stress is parabolic in nature. The
rate of heat transfer increases or decreases monotonically with increase or decrease in Reynolds
or prandtl number.
Keywords: Fluid Temperature, Heat Transfer, Shear Stress, Porous Plate.
16 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
On the Optimal Control Problems Constrained by Delay
Differential Equation using Penalty Function with B-Spline
Ayodeji Sunday Afolabi
Department of Mathematical Sciences,
The Federal University of Technology,
Akure, Ondo, Nigeria
This paper proposes an efficient algorithm using discretization with B-spline polynomial support
for the control. We discretize the objective function and the constraint using trapezoidal rule and
Cranck Nilcholson Method respectively. With this development, an unconstrained formulation of
the problem via quadratic penalty function was obtained and the evolution of an associated
operator which gave the framework for the application of the conjugate gradient method (CGM)
for solving the problem was established. Two hypothetical examples are considered, tested and the
results of the new scheme compared much more favourably to the analytical solution and the
convergence analysis was found to be linear.
Keywords: Differential Equation, Optimal Control Problems
An Improved Version of Conjugate Gradient Coefficient with
Global Convergence Properties for Unconstrained
Optimization
S. E Olowo
Abdulhadi Aminu
[email protected]
Kano University of Science and Technology,
Wudil, Kano,
Nigeria.
Sulaiman I, M
Conjugate gradient (CG) method has played an important role in solving unconstrained
optimization. Their wide application in many fields is due to their low memory requirement and
global convergence properties. Numerous studies have been done recently to improve the CG
method. In this paper, an improved formula for conjugate gradient coefficient  k has been
proposed which possesses the global convergence properties under exact line search. The result of
the numerical experiment has shown that this new formula performs better than the classical CG
methods.
Keywords: Conjugate Gradient Method; Conjugate Gradient Coefficient; Sufficient Descent
Condition; Global Convergence: Exact Line Search.
17 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
𝑳𝟎 Stable Trigonometrically Fitted Block Backward
Differentiation Formula of Adams Type for Autonomous
Oscillatory Problems
S.A Okunuga
R.I. Abdulganiy
Department of Mathematics,
University of Lagos,
Lagos, Nigeria.
In this paper, an 𝐿0 Stable Second Derivative Trigonometrically Fitted Block Backward
Differentiation Formula Of Adams Type (SDTFBBDFA) of algebraic order 4is presented for the
solution of autonomous oscillatory problems. A Continuous Second Derivative
Trigonometrically Fitted (CSDTF) whose coefficients depend on the frequency and step size is
constructed using trigonometric basis function. The CSDTF is used to generate the main method
and one additional method which are combined and applied in block form as simultaneous
numerical integrators. The stability properties of the method are investigated using boundary
locus plot. It is found that the method is zero stable, consistent and hence converges. The method
is applied on some numerical examples and the result show that the method is accurate and
efficient.
Keywords:
Derivative.
Trigonometrically Fitted methods; Autonomous Oscillatory Problems; Second
On a Faster Hybrid Kirk-Multistep Schemes for ContractiveType Operators
Olalekan Taofeek Wahab
[email protected]
Department of Statistics &
Mathematical Sciences
Kwara State University, Malete,
Kwara, Nigeria
Kamilu Rauf
Department of Mathematics
University of Ilorin, Ilorin
Kwara, Nigeria
In this paper, we prove strong convergence and T-stability results of some new hybrid Kirkmultistep iterations for contractive-type operator in convex metric spaces. Our results show
through analytical and numerical approach that the newly hybrid schemes are better in terms of
convergence rate than other hybrid Kirk-multistep iterative schemes in the literature.
Keywords: Hybrid Kirk-multistep, Contractive-type Operator
18 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
Stability Analysis for a Model of Measles Incorporating
Maternally-Derived-Immunity
S. A. Somma
Department of Mathematics &
Statistics,
Federal University of
Technology, Minna, Nigeria
N. I. Akinwande
Department of Mathematics
& Statistics,
Federal University of
Technology, Minna, Nigeria
P. Gana
Department of Mathematics
& Statistics,
Niger State Polytechnic,
Zungeru, Nigeria
S. Abdulrahaman
T. T. Ashezua
Department of Mathematics &
Statistics,
Federal University of
Technology, Minna, Nigeria
Department of Mathematics/
Statistics/Computer Science,
Federal University of
Agriculture, Makurdi, Nigeria
Eguda, F. Y
[email protected]
Department of Mathematics
Federal University, Dutse,
Nigeria.
In Somma et al (2015), we modified the MSIR model by including vaccination and death rate. In
developed countries, children are immunized against measles at 12 months, generally as part of a
three-part MMR vaccine. The vaccination is generally not given before this age because such
infants respond inadequately to the vaccine due to an immature immune system. Anti-measles
antibodies are transferred from mothers who have been vaccinated against measles or have been
previously infected with measles to their newborn children. The Local Stability of both Disease
Free Equilibrium (DFE) and Endemic Equilibrium (EE) was analyzed using trace-determinant of
matrix method. The Global Stability of both DFE and EE was also analyzed using Lyapunov
function. The Local and global stability of both DFE and EE were asymptotically stable.
Keywords: Lyapunov function, Stability Analysis.
19 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
Optimal Control Analysis of the Effect of Multiple Control
Strategies on Cholera Disease Transmission Dynamics in the
Presence of Asymptotic Transmission
E. A. Bakare
E. B. Are
Department of Mathematics,
Federal University,
Oye Ekiti,
Ekiti, Nigeria
In this paper, we formulate and analysed non-linear ordinary differential mathematical model of
cholera disease exhibiting the impact of multiple control strategies on the transmission dynamics
of cholera. We determined the stability of the disease free and endemic equilibrium locally and
the reproduction number. If the reproduction number is less than one then the cholera eventually
will disappear from the population but if it is greater than one the disease will persist in the
population and more people will die. We also investigate the influence of asymptotic
transmission on the dynamics of cholera transmission and carried out detailed sensitivity analysis
and qualitative optimal control analysis of the cholera model. We find the necessary conditions
for the optimal control of the malaria disease using Pontryagin's Maximum Principle in order to
determine optimal strategies for controlling the spread of the disease. We finally established the
effect of the control strategies on the dynamical behaviour of the system using numerical
simulation to illustrate.
Keywords: Optimal control, Computational simulations, Disease Free Equilibrium, Pontryagin's
Maximum Principle, stability theory.
20 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
Mixed Convective Flow of a Viscous and Ohmic Dissipating
Reactive Hydromagnetic Fluid Past a Vertical Stretching
Sheet
Ajibade Kehinde James
Adetunji Adeniyan
[email protected]
[email protected]
Department of Mathematics
University of Lagos,
Akoka, Yaba,
Lagos, Nigeria
Of concern in this paper is an investigation of laminar mixed convection magnetohydrodynamics (MHD) reactive flow and heat transfer past a vertical stretching per-meable sheet
encompassed in a viscous and ohmic dissipating electrically conducting fluid awash in transverse
magnetics field in the presence of Frank-Kamenetskii effect. The governing partial differential
equations with the boundary conditions of constant wall temperature CWT or constant wall heat
flux CHF are converted into a set of ordinary differential equations by means of suitable
similarly transformations. The transformed set of equations are solved numerically using RungeKutta integration method alongside a Newton-Raphson shooting scheme and then implemented
on Maple 18 software. It was found that the dimensionaless velocity and temperature increase as
local Eckert number increases in either of CWT or CHF.
The velocity and temperature variation are presented in graphs while flow and heat transfer
characteristics are demonstrated in tables. The thermal conductivity variation parameter has
considerable effects on heat transfer characteristics in the two cases of thermal boundary
conditions. The numerical results have been compared with the analytical case and found to be in
perfect agreement.
Keywords: Magnetohydrodyamics (MHD), Heat viscous and Ohmic dissipation, FrankKamenetskii heat deposition, Temperature dependent fluid properties.
21 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
Comparism of Similarity Measure Methods, for the
Evolvement of Modified Similarity Measure for Detection of
Character Misposition and Transposition within a String
Y. Raji-Lawal Hanat
[email protected]
Lagos State University
Ojo,
Lagos, Nigeria
T. Adewale Adio
[email protected]
Federal University of Agriculture,
Abeokuta,
Ogun, Nigeria
Similarity measure method compares two different entities, to evaluate their commonality and
disparity. It is applicable to various fields, like computational molecular biology, genomics,
natural language processing, word processing and so on. In this context, it will be used for
matching pattern and text, to verify their commonality. There are situations where two strings
will be of the same character composition, but different character positioning. Most of similarity
measure methods of complexity o(n) compares based on the composition of strings, without
considering their position. This research studied the behaviour of different similarity measure
methods, and deduced a modified similarity measure to solve this problem.
Several similarity measures were studied, five similarity measure with complexity o(n) where
observed and compare based on their behaviour to strings of the same set of character
composition, but different positioning. The selected similarity measures are Jaccard,
Overlapping, Cosine, dice and Jaccard coefficient similarity measure. It was observed during
comparism of similarity values obtained from the similarity measure methods that, Jaccard,
Jaccard coefficient, and Overlapping similarity measure considers strings of the same
composition but different position as exactly the same. In critical situations like natural language
processing this will cause a lot of confusion. Cosine and Dice similarity measure behaves quite
better than the later. Modified Jaccard coefficient similarity measure solves this problem
absolutely. Comparing its similarity value to the value of existing ones, it was observed that
Modified Jaccard coefficient similarity measure performs excellently in detecting mis-position
and transposition of characters while matching pattern and text.
Keywords: Similarity measure method, Similarity value, Mis-position and Transposition.
22 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
The Maximum Likelihood Estimation of a Longitudinal Data
of Household Income in the Presence of Outlier Densities
A.O. Bello
[email protected]
Department of Statistics,
Federal University of
Technology,
Minna, Nigeria
O. M. Adetutu
[email protected]
Department of Statistics,
Federal University of
Technology,
Minna, Nigeria
F.A Oguntolu
[email protected]
Department of Mathematics,
Federal University of
Technology,
Minna, Nigeria
This work reports on the use of maximum likelihood function L(Ɵ) and the probability graphical
method to estimate the location parameter for a mini metro-Neapolitan household income(X) with
heterogeneous social-economic composition. The Easy_t software was used to _t the household
income data to suggest the possible probability distribution(s) for the data. Some of the suggested
distributions were taken as the functional form of the income's(X as a r.v) probability distribution
and they were empirically solved using the maximum likelihood method of estimation. The estimate
that are most consistent with the sample data were solved analytically based on the distribution
function(s) suggested by easy_t software. We also compared the maximum likelihood
estimates(MLE) obtained from each functions graphically using R-programing language
Keywords:Maximum Likelihood Estimation, Probability Graphical Plots, Distribution Function,
Household Income
23 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
Application of System of Linear Equations to a 3-Arm
Roundabout Network Flows
O. M. Adetutu
[email protected]
Department of Statistics,
Federal University of
Technology,
Minna, Nigeria
Nyor Ngutor
[email protected]
Department of Mathematics,
Federal University of
Technology,
Minna, Nigeria
A.O. Bello
[email protected]
Department of Statistics,
Federal University of
Technology,
Minna, Nigeria
A mathematical model was presented and used to determine turning movements at roundabouts
based on field data. Assumptions were made in order to simplify the model; such as no U-turns
from and to the same arm of a roundabout, total traffic into the roundabout is equal to total traffic
out of the roundabout and traffic is homogeneous (i.e. mainly consisting of vehicles). Using
Gaussian elimination, turning movements could be estimated for 3-arm roundabouts for the
indeterminate traffic steam movements when inflows and outflows for each arm of the roundabout
is known together with a flow stream on one internal circulating (weaving) section between any
two arms of the roundabout. The model has practical use in reducing the number of detectors or
counters (whether automatic, videoing techniques or manual methods are in use) which are needed
in collecting data to determine the estimated flows from and to the different parts of a roundabout.
The reduction in the number of detectors (or traffic counts) could be due to site limitations caused
by faulty or limited number of counters used, inaccessible sections for obtaining video images for
later analysis (e.g. presence of sharp bends buildings or large trees obscuring vision). The benefits
in cut saving costs could be significant in terms of time and man-power needed on site and this
could depend on the amount of traffic ow through the roundabout.
Keywords: Roundabouts, Traffic, Detector, Inflows, Indeterminate and Outflows.
24 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
Effect of Chemical Reaction on Heat and Mass Transfer
Embedded in a Porous Medium over an Exponentially
Porous Stretching Surface
S. A. Amoo
[email protected]
Department of Mathematics and Statistics,
Federal University,
Wukari, Wukari,
Nigeria
The effect of chemical reaction on heat and mass transfer embedded in porous medium is
implemented over an exponentially porous stretching surface. The emerging governing equations
were simplified using similarity variable function and some relevant dimensionless parameters.
The modelled equations were solved using Runge-Kutta method with shooting techniques. These
were done by converting those modelled equations to an initial value problem. They were then
solved using Maple 18. The numerical computations were presented in tabular and graphical
forms for variable fluid parameters controlling the flow, chemical reaction, heat and mass
transfer. The results in form of the velocity, temperature and concentration profiles, Skin friction
and Sherwood number with varied parameters were discussed. The results were analysed and
compared with the existing solutions; these were found to have minimal errors
Keywords: Boundary Layer, Fluid Flow, Runge-Kutta, Shooting Technique.
25 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
A Hybrid Dynamic Programming Technique for Optimizing
Stock Allocation using Chebyshev Polynomial
Approximation
C. R. Chikwendu
C. R. Emenonye
Mathematics Department,
Nnamdi Azikiwe university,
Awka
The channel of distribution is only complete when the manufactured goods and services get to
the final consumers. The wide gap between the manufacturer and the consumer is filled by
proper and efficient allocation technique through stock management. Stocking is the process of
holding goods in a place for future use or sale. The act of maintaining stock has its associated
cost likewise the act of not keeping stock. This work designs an efficient allocation technique
that optimizes returns and balances the costs arising from stock keeping.
Dynamic programming is a linear optimization method that determines the optimum solution of
a multivariable problem by decomposing it into stages with each comprising a single variable
sub program. A mathematical model based on the Dynamic programming method (DPM) is
developed using the Chebyshev polynomial approximation technique. Relevant related literature
are reviewed, theorems and illustrative examples are included.
Keywords: Stock Allocation, Polynomial Approximation.
26 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
Optimal Control of Air Pollution via Electric Power
Generating System Model
Y.O. Aderinto
O.M. Bamigbola
Department of Mathematics,
Faculty of Physical Sciences,
University of Ilorin,
P.M.B. 1515,
Ilorin, Nigeria
Air pollution is the introduction of particulates biological molecules, or other harmful materials
into Earth’s atmosphere, causing diseases, death to humans, and damage to other living
organisms. Electric power generation is responsible for large measure of air pollution which is
caused by the thermal power plants burning conventional fuels (coal, oil or gas).Therefore,
substantial investments should be targeted towards the development of power plants efficiency
and improvement through variety of adjustments. This work proposes a Mathematical model that
describes the dynamics of air pollution (in particular atmospheric Co2) with respect to an electric
power generating system model using an optimal control theory approach. The model is
characterized together with plants efficiency and improvement through applying technologies.
The optimality system is established in attempt to minimizing both the cost of applying
technology for efficiency improvement as well as the atmospheric emission while maximizing
the electric power generated output.
Keywords: Air Pollution, Power Generating System
27 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
Mathematical Modelling, Simulation and Optimization of a
Reactive Distillation Process using Matrix Laboratory
Abdulwahab Giwa
Chemical and Petroleum Engineering
Department,
College of Engineering,
Afe Babalola University,
KM. 8.5, Afe Babalola Way, Ado-Ekiti,
Ekiti, Nigeria
Saidat Olanipekun Giwa
Chemical Engineering Department,
Faculty of Engineering and Engineering
Technology,
Abubakar Tafawa Balewa University,
Tafawa Balewa Way,P.M.B. 0248,
Bauchi, Nigeria
Reactive distillation is a novel process that combines both chemical reaction and separation in a
single piece of equipment. It is normally accomplished inside a column. Actually, the process
has a lot of benefits, especially for those reactions occurring at temperatures and pressures
suitable for the distillation of the resulting components. These benefits include shift of chemical
equilibrium and an increase of reaction conversion by simultaneous reaction and separation of
products, suppression of side reaction, utilization of heat of reaction for mass transfer operation,
and so on. The synergistic effects of these benefits also result in significant economic benefits
such as lower capital investment, lower energy cost and higher product yields of the process
compared to a conventional type. However, the combination of both reaction and separation in a
single unit has made the modelling of the process a bit challenging. It has been deemed
necessary to employ a mathematical method to handle the modelling of this process in an
effective manner. Therefore, in this research work, the modelling knowledge of mathematics has
been employed to develop equations for the different phenomena occurring at some specific
sections of a reactive distillation column. The developed models were simulated and, further,
optimized with the aid of Matrix Laboratory (MATLAB) in order to obtain the values of the
model parameters required to give the desired mole fractions of the product components of the
process.
Keywords: Reactive Distillation, Matrix Laboratory (MATLAB), Modelling, Simulation,
Optimization.
28 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
Determining the Teaching Efficiency of University Lecturers
using Data Envelopment Analysis
Odina Gbeminiyi
[email protected]
Department of Mathematical Sciences,
Ajayi Crowther University,
Oyo,
Nigeria
Rotimi K. Ogundeji
[email protected]
Department of Mathematics,
University of Lagos,
Nigeria.
This paper assesses the technical efficiency and efficiency differences among 20 University
teaching staff in Ajayi Crowther University by a linear programming based technique, Data
Envelopment Analysis (DEA). Here, the lecturers are our decision making units (DMUs)
we assessed the DMUs using seven inputs and two outputs variables. Inputs include: No. of
teaching hours, lecturer's attendance in class, students' attendance in class, class size, lecturer's
experience, lecturer's qualification, physical and ancillary teaching facilities) while outputs are
students average marks and students pass rate. A descriptive statistics of data sets of input and
output variables based on data from the Academic planning unit of the University was
calculated. In other to determine the strength of a DMU output performance in relation to its
input variables, a correlation between the input and output variables were carried out, thereby
excluding input or output variables with weak cross-correlation from further analysis. To
accommodate the diversity of DMUs in respect of their inputs and achieved effects, only
variables with sufficiently high coefficient of variation (C.V.) were selected for analysis with the
DEA models. The input oriented CCR model was used to determine the Global Technical
Efficiency (GTE) scores, target value of input-output factors and improvement ratio. While the
input-oriented BCC model was used to measure the Local Pure Technical Efficiency (LPTE)
scores. The scale efficiency was also obtained from the proportion the GTE and LPTE scores.
The method is found to identify efficient and inefficient University teaching Staff and provides
management information relative to input and output measures.
Keywords: Data Envelopment Analysis, University Lecturers, Teaching efficiency.
29 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
Optimized Naïve Bayesian Algorithm for Efficient
Performance
Obuandike Georgina N.
Department of Mathematical
Sciences and IT,
Federal University Dutsinma,
Katsina state,
Nigeria.
Audu Isah
Department of Mathematics and
Statistics,
Federal University of
Technology,
Minna, Niger State
John Alhasan
Department of Computer
Science,
Federal University of
Technology,
Minna, Niger State,
Nigeria
Naïve Bayesian algorithm is a data mining algorithm that depicts relationship between data objects
using probabilistic method. Classification using Bayesian algorithm is usually done by finding the
class that has the highest probability value. Data mining is a popular research area that consists of
algorithm development and pattern extraction from database using different algorithms.
Classification is one of the major tasks of data mining which aimed at building a model (classifier)
that can be used to predict unknown class labels. There are so many algorithms for classification
such as decision tree classifier, neural network, rule induction and naïve Bayesian. This paper is
focused on naïve Bayesian algorithm which is a classical algorithm for classifying categorical
data. It easily converged at local optima. Particle Swarm Optimization (PSO) algorithm has gained
recognition in many fields of human endeavours and has been applied to enhance efficiency and
accuracy in different problem domain. This paper proposed an optimized naïve Bayesian classifier
using particle swarm optimization to overcome the problem of premature convergence and to
improve the efficiency of the naïve Bayesian algorithm. The classification result from the
optimized naïve Bayesian when compared with the traditional algorithm showed a better
performance.
Keywords: Data Mining, Classification, Particle Swarm Optimization, Naïve Bayesian
30 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
Modeling Rumour Propagation with Conditional Latent
Period in a Varying Population
H. K. Oduwole
I. K. Joseph
Department of Mathematical Sciences,
Nasarawa State University,
Keffi.
[email protected]
K. S. Ikani
In this paper a rumour propagation model with conditional latent period and varying population is
considered. In the literature, classical model assume that an ignorant individual enters the latent
period and decide whether to become a spreader or stifler. In our model we introduce a new
compartment called the blackmailers, another type of spreaders who spread the rumour for selfish
reason. The model equations were first transformed into proportions, thus reducing the model
equations from five to four differential equations. The model exhibit two equilibra, namely the
rumour free equilibrium (RFE) and the rumour endemic equilibrium (REE). Using the method of
linearized stability, we establish that the RFE state exist and is locally asymptomatically stable
when 𝑅0 < 1 and that when 𝑅0 > 1 the endemic state exist. The model allows us to discuss the
relationship between spreaders and blackmailers, and the effect of blackmailers on the on the
stiflers. Finally, we present numerical simulations that show the impact of political motivated
rumours and how its control can be achieved.
Keywords: Rumor Models, Rumor Propagation, Political Motivated Rumour, Epidemiological
Models; Stability Analysis, Transition Parameter
31 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
Subclasses of Univalent Functions Based Salagean
Differential Operator Involving Modified Sigmoid Function
with Finitely Many Fixed Coefficients
M. O. Oluwayemi
[email protected]
Department of Mathematics,
Landmark University,
P.M.B. 1001 Omu-Aran,
Kwara State,
Nigeria
O. A. Fadipe-Joseph
[email protected]
Department of Mathematics,
University of Ilorin,
P.M.B. 1515, Ilorin,
Kwara State,
Nigeria.
By using Salagean differential operator involving modified sigmoid function 𝛾(𝑠) defined by
(1.4), the authors investigate some interesting geometric properties of certain subclasses of
holomorphic univalent functions of the form:
𝑚
∞
𝛾(𝑠)(1 − 𝛽) + 𝛽[2𝛼(𝛾(𝑠) − 𝜇) − 𝜆] − 𝜇 𝑛
𝑓(𝑧) = 𝑧 − ∑
𝑧 − ∑ 𝑎𝑘 𝑧 𝑘
1
𝑛=2 [𝛾(𝑠)𝑘[1 − 𝛽(1 − 2𝛼)] − 𝛽(𝜆 + 2𝛼𝜇 + ]
𝑘=𝑚+1
𝛽
With finitely many fixed coefficients.
The results extend and generalise some existing results in literature such as Fadipe-Joseph O.A,
et al (2015).
Keywords: Modified Sigmoid Function, Univalent Functions, Coefficient Estimates, Radii Of
Starlikeness, Fekete-Szego Inequality, Convolution Property.
32 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
Designing of a Cost Effective Fibre Optic Network Backbone
using Genetic Algorithm
Akintola Kolawole
In today's world no business or establishment can function properly without a solid
information technology infrastructure. The latest information technology infrastructure
being deployed today use fibre optic as backbone due to increasing user requirements.
However, the cost of fibre optic cables is on the high side. Therefore, network topology
should be modelled using a spanning tree that optimizes connection cost. Recently,
genetic algorithms (GAs) have been used to solve this problem. In this paper, a GA
is applied in minimizing the cost of connecting hospitals in Ondo state with fiber
optic cables. Finally, we carried out the practicality of the problems on some
selected hospitals in Ondo state, Nigeria in order to certify the cost requirements
of the network design obtained by using the proposed GA. From the results,
is observed that the proposed method can save cost.
Keywords: Genetic Algorithm, Fibre Optic Network
33 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
Application of Optimization Techniques to the Operations
R. K. Ogundeji
[email protected]
Department of Mathematics,
University of Lagos,
Nigeria.
R. O. Okafor
[email protected]
Department of Mathematics,
University of Lagos,
Nigeria.
I. A. Adeleke
[email protected]
Department of Actuarial
Science and Insurance,
University of Lagos,
Nigeria.
In regression model analyses, computation often appears practically infeasible due to the large
numbers of regressors (k) involved in a model of 2k model space. However, conditioning on a
single selected model ignores model and parameter uncertainty when making inferences.
Bayesian Model Averaging (BMA) is a technique designed to help account for the uncertainty
inherent in the model selection process. Also, issues of the choice of prior distribution have been
quite delicate in data analysis. Posterior model probabilities in the context of model uncertainty
under model selection process are typically sensitive to the specification of a prior distribution.
Informative prior distributions related to a natural conjugate prior specification are investigated
under a limited choice of a single scalar hyper parameter (g-prior) which corresponds to the
degree of prior uncertainty on regression coefficients. This study focused on a situation where
we need to deal with extremely large model space (i.e. up to septillion of models!) made up of
large set of regressors generated by a small number of observations. The study proposed an
improved g-priors specification for regression coefficients in Bayesian Model Averaging and
demonstrated the sensitivity of posterior results to the choice of the new g-prior on simulated
data and real-life data. The main finding of the research reveals that the proposed g-prior
structure exhibited more reliable predictive performance than identified g-prior structures in the
work of Fernandez et al. (2001) and Eicher et al (2007).
Keywords: Bayesian Model Averaging, Bayesian Model Sampling, Zellner’s g-Priors, Posterior
Model Probability, Predictive Performance.
34 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
The Effect of Rain on Earth-Space Radiowave Propagation
Studies of Tropical Satellite Communication in Nigeria
M. O. Oyesanya
Department of Mathematics,
University of Nigeria,
Nsukka.
E.N Unaegbu
Department of Mathematics,
Salem University,
Lokoja.
Among other atmospheric region, ionosphere, which is the ionized region of the atmosphere, is
considered to impose serious limitation on radio wave transmission while the effect of other
layers, more especially, the troposphere is often treated as negligible. However, recent studies
have shown that while the ionospheric disturbances can be predicted on a global scale,
tropospheric disturbances depend on geographic location due to dependence of local
meteorology on surface topography and other specific location weather forcing. A number of
models have been used by many researchers in the investigating of atmospheric attenuation. The
objective of this thesis is to discuss the rain effect on high frequency radio waves between 10 and
50 GHz propagating on earth-space in the troposphere for 4 locations in Nigeria, investigating
the losses it may come across and comparing them with the model used by one of the
researchers. Two standard elevations angle of 50 and 550 were used in the computation of the
propagation impairment for the 4 locations.
Keywords: Rain, Attenuation, Experimental Model, Elevation, Troposphere.
35 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
Forecasting the Volatility of Nigerian Inflation Rates using
Artificial Neural Networks and ARIMA Models
M.O Akintunde,
Department of Statistics,
The Federal Polytechnic,
Ede,
Osun, Nigeria.
G. A. Olalude
Department of Statistics,
The Federal Polytechnic,
Ede,
Osun, Nigeria.
I. A. Adeleke
Department of Actuarial
Science and Insurance,
University of Lagos,
Lagos, Nigeria
This paper examines the forecast accuracy of artificial neural networks and Autoregressive
integrated moving average (ARIMA) models with application to Nigerian inflation rates.
Theories of the two models used were clearly established and applied to Nigerian inflation rates
data. Statistical package for social scientist (SPSS) were used to analyze the data used for the
study. The model fitted for ARIMA is (0,1,0). The model with better forecast performance was
established using performance measure indices like MSE, MAPE, MAE, MAD and RMSE.The
results obtained show that the two models used in the study (Artificial neural Network and
Autoregressive integrated moving average (ARIMA) models can be effectively used for
forecasting purpose. Artificial neural Network, however, out-performed ARIMA model.
Keywords: Artificial Neural Network; ARIMA Model; Inflation Rate; Forecast Accuracy,
Performance Measure Indices.
36 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
Optimization of Maintenance Strategy in Power
Transmission System using Differential Evolution Algorithm
Peter O. Oluseyi
[email protected]
Department of Electrical
and Electronics
Engineering,
University of Lagos, Lagos,
Nigeria
Babatunde A. Sawyerr
[email protected]
Department of Computer
Sciences
University of Lagos,
Lagos, Nigeria
Tobi E. Shomefun
[email protected]
Department of Electrical
and Electronics
Engineering,
University of Lagos,
Lagos, Nigeria
In modern electricity market, maintenance strategy is a major requirement for power system
networks efficiency and reliability. The power system networks consist of several aging
components such as insulators, isolators, circuit breakers, etc... These components in the
transmission networks age with time and this in turn affects the system’s efficiency and reliability.
A good strategy must provide necessary/required maintenance for each component by optimizing
maintenance decision for the network. This research work presents an optimal maintenance
strategy for transmission network components to mitigate degradation due to inefficient
maintenance procedure. Since a transmission system is a group of different kinds of equipment and
the reliability of the electric facilities varies with time, a component state model using a modified
Markov chain is proposed. In addition, a differential evolution (DE) algorithm is deployed to
evaluate the optimal maintenance strategy from a list of feasible maintenance states. This method
is tested on Ogba transmission station, Lagos State, Nigeria. The results show that the proposed
maintenance strategy maintains power delivery at 91%, this further ensures that preventive
maintenance of power equipment improves the system reliability by 26% as compared to the
conventional approach. All these suggest that for a transmission network to deliver service
optimally then the decision vector, based on the proposed maintenance strategy should be
implemented appropriately.
Keywords: Differential Evolution, Maintenance Strategy, Transmission Network.
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ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
A Novel Economic Dispatch Model for Gas Maximization In
Thermal Plants
Uyikumhe Damisa
[email protected]
Peter Olabisi Oluseyi
[email protected]
The aim of conventional economic dispatch (ED) is to meet total demand at the lowest possible
cost of generation by determining the power output of each generating unit. Its formulation is
based on the assumption that fuel supply to the thermal station is adequate to meet demand. While
this assumption is true for an ideal power system, some thermal stations in Nigeria experience
shortage in gas supply. Conventional ED fails under such circumstances. A novel formulation is
proposed, which maximizes the available fuel by determining the power output of each thermal
unit. This formulation is modelled and solved with General Algebraic Modelling Systems
(GAMS). Egbin power plant, the largest installed single electricity generation plant in Nigeria, is
taken as the case study in this paper. It’s evident from the results obtained that the proposed
approach achieves a greater power output than was realized during normal operation of the plant.
Limited fuel supply to thermal stations can therefore be optimally utilized by applying the
proposed approach.
Keywords: Differential Evolution, Optimal Control Problems
38 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
Solving Permutation-Based Combinatorial Optimization
Problems using Simulated Annealing
B. A. Sawyerr
[email protected]
E. P. Fasina
O. O. Fagbohun
[email protected]
[email protected]
Machine Intelligence Research Group
Department of Computer Sciences
University of Lagos, Akoka,
Lagos, Nigeria
Simulated Annealing (SA) is a metaheuristic that is used for solving hard optimization problems.
It is inspired by the physical process of annealing in metallurgy. Annealing is a process of
subjecting a metal to very high temperature and gradually cooling down the metal to obtain highquality crystalline structure(s). SA is a nature inspired, single solution optimization algorithm. In
this work, a population-based simulated annealing (PSA) is proposed and used to solve four
classes of permutation based combinatorial optimization problems (PCOP) namely Traveling
salesman problem (TSP), Flow shop scheduling problem (FSSP), Quadratic assignment problem
(QAP) and Linear ordering problem (LOP) selected from TSPLIB, OR-Library, QAP-Library
and LOLIB. A numerical experiment was carried out to compare the performances of the
classical SA and PSA. Results obtained showed that PSA significantly performed better than the
classical SA.
Keywords: Simulated Annealing, Permutation-Based Combinatorial Optimization Problems.
39 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
The Fully-Adaptive Particle Swarm Optimization Algorithm
Ebun P. Fasina
[email protected]
Babatunde. A. Sawyerr
[email protected]
Oluwatobi A. Adetunji
[email protected]
Machine Intelligence Research Group
Department of Computer Sciences
University of Lagos, Akoka,
Lagos, Nigeria
The Particle Swarm Optimization (PSO) algorithm is a population based optimization algorithm
inspired by nature and has been used to solve linear and non-linear real-life problems with very
impressive results. However the performance of PSO is very sensitive to the selection of its
parameters namely: inertia weight 𝜔, maximum velocity 𝑣𝑚𝑎𝑥 , cognitive constant 𝑐1 , social
constant 𝑐2 and the population of particles 𝑃. For good performance on a test problem
experiments must be conducted with PSO using varied parameter settings to determine the best.
This approach is time consuming and may not be suitable when good solutions to a problem are
required quickly by non-experts. In this work we present a PSO algorithm that gives competitive
solutions to problems without the user setting any parameters. During each run of PSO, the
population of particles is determined from the dimensions of the problem space while the
parameters 𝜔, 𝑣𝑚𝑎𝑥 , 𝑐1 and 𝑐2 of each particle are adjusted dynamically to match the
distribution of particle fitness in the search space. Having particle parameters change or adjust in
relation to swarm conditions and particle states gives the Fully Adaptive PSO (FAPSO) an above
average performance on most benchmarks by speeding up convergence and reducing
computational time.
Keywords: Cognitive constant, Convergence, Fully-adaptive, Inertia Weight, Particle Swarm
Optimization, Social Constant.
40 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
The Range-Delimited Particle Swarm Optimization
Algorithm
Ebun P. Fasina
[email protected]
Chika P. Ojiako
Ozioma A. Paul
[email protected]
[email protected]
Machine Intelligence Research Group
Department of Computer Sciences
University of Lagos, Akoka,
Lagos, Nigeria
Since the emergence of the Particle Swarm Optimization (PSO) algorithm researchers have
created PSO variants in an attempt to solve PSO’s premature convergence problem. However the
problem persists in various degrees. This work introduces the Range-Delimited PSO (RDPSO)
algorithm, a variant of PSO to tackle the premature convergence problem. Particles in RDPSO
are delimited to cognitive ranges – subspaces of the search space – to control exploration and
intensify exploitation. Each particle is initialized into a cognitive range which overlaps the
cognitive range of other particles in the problems spaces. As the algorithm progresses through
iterations the cognitive range of each particle shrinks by adaptation. Versions of the RDPSO for
the global best and local best PSO versions are considered. RDPSO was implemented using the
C# programming language on the Microsoft .NET platform. The new algorithm is tested on
fifteen selected unimodal and multimodal benchmark functions with good results. This work
suggests the feasibility of range-domiciled – an aggregated search of subspaces within the
problem space – and holds great promise for future work.
Keywords: Cognitive Range, Premature Convergence, Range-Delimited, Range-Domiciled.
41 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
The Foraging Bees Optimization Algorithm
Ebun P. Fasina
[email protected]
Babatunde A. Sawyerr
Shuaibu B. Alkassim
[email protected]
[email protected]
Machine Intelligence Research Group
Department of Computer Sciences
University of Lagos, Akoka,
Lagos, Nigeria
Honey bee colonies depend on pollen and nectar from flowers for their feed. The foraging
behaviour of bees depends on the profitability of nectar and pollen sources and the needs of the
colony. Each forager modulates its behaviour in relation to the profitability of nectar source – the
more profitable the source, the higher the intensity of foraging activity and dancing and the lower
the probability of abandoning the source. Without comparing sources bee individually calculate
the absolute profitability of a source. Collective nectar and pollen source selection by a colony of
bees is decentralized; it is a process of natural selection whereby foragers from more profitable
nectar sources continue to visit these sources over a longer period and over time recruit bees
from less profitable sources. In a foraging season, bees collect roughly 20 – 30 kg pollen and 125
kg nectar which translates to between 1,125,000 and 4,000,000 visits to flowers. Inspired by the
foraging behaviour of bees the foraging bees optimization algorithm mimics the foraging of
flowers by bees for pollen and nectar and the collective natural selection of more profitable
nectar sources over poor ones. After initialization, the algorithm loops through three phases,
waggle work and withdraw. A large number of flowers are initialized randomly in the problem
space. During the waggle phase bees are recruited to patches with profitable nectar sources. In
the work phase new flowers are discovered and memorized by bees. In the withdraw phase bees
eliminate unprofitable flowers and recalibrate patches for recruitment. The proposed algorithm is
tested on three unimodal and seven multimodal benchmark functions with encouraging and
competitive results.
Keywords: Foraging Bee Optimization algorithm, Optimization Problems, Nature Inspired
Algorithm, Swarm Intelligence, Benchmarks.
References
1 J. J. M. van der Steen (2015) “The Foraging Honey Bee” The British Bee Journal, February
2 Thomas D. Seeley, Scott Camazine and James Sneyd (1991) “Collective Decision-Making
in Honey Bees: How Colonies Choose Among Nectar Sources” Behavioral Ecology and
Sociobiology, Springer-Verlag, 28: 277-290,
42 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
The Foraging Ants Optimization Algorithm
Ebun P. Fasina
[email protected]
Babatunde A. Sawyerr
Oluwatoni P. Olatunji
[email protected]
[email protected]
Machine Intelligence Research Group
Department of Computer Sciences
University of Lagos, Akoka,
Lagos, Nigeria
The introduction of the Ant Colony Optimization (ACO) algorithm in 1992 for solving discrete
optimization problems has motivated researchers to develop new optimization algorithms
inspired by different metaphors of ant behaviour. New ant-inspired algorithms have been
developed to solve optimization problems with continuous search domains. Unfortunately most
of these algorithms do not mimic the behaviour of ants closely and this may explain some of
their limitations when applied to problems with continuous search spaces. Major limitations of
these algorithms are premature convergence and limited scalability i.e. as the dimensions of the
problem increases the performance of these algorithms drop dramatically. In this work, a novel
ant-inspired optimization algorithm is proposed for solving optimization problems with
continuous search spaces. The algorithm named Foraging Ant Optimization (FAO) algorithm
mimics the foraging behaviour of the Pachycondyla apicalis ant species. These ants adopt a
simple and efficient strategy; individual ants from the colony hunt for prey by revisiting good
hunting sites around the nest. Periodically the colony is relocated to the region of hunting sites
that have been found to be rich in prey. In the FAO algorithm, a population of 𝑁 ants search in
ranges (subspaces of the problem space) and leave a trail of pheromone connecting the best
hunting site with the nest. The quality of the hunting site is represented the quantity of
pheromone deposited on the trail. The trail of ant 𝑎𝑖 is a unit vector 𝒗𝑖 pointing to the hunting
site from the nest and the quantity of pheromone is represented by the magnitude 𝑃𝑖 . At the end
of each hunting expedition the nest has 𝑁 hunting site vectors 𝑃1 𝒗1 , 𝑃2 𝒗2 , … , 𝑃𝑁 𝒗𝑁 pointing to 𝑁
hunting sites. Using different strategies based on hunting site vectors ants are recruited to the
best performing hunting site and new promising hunting sites. Results from experiments on ten
benchmarks indicate that the FAO is competitive. However, there are still opportunities for
improvements as the algorithm has only been tested successfully in small dimensions.
Keywords: Ant Colony Optimization (ACO), Pachycondyla apicalis Ant species, Premature
Convergence, Foraging Ant Optimization (FAO), Pheromone
.
43 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
Poisson-Mixed Models for Count Data; An Application to
Risk Analysis (Accident Data in Nigeria)
Samuel Adewale Aderoju
[email protected]
Department of Statistics and Mathematical
Sciences, Malete,
Kwara,Nigeria
Emmanuel Teju Jolayemi
[email protected]
Department of Statistics,
University of Ilorin, P.M.B. 1515,
Ilorin, Nigeria
Generalized linear models (GLMs) for count data were used because it is necessary that the count
data involving number of casualty on our road cannot be used as a metric; the focus was on
Poisson, Poisson-Gamma as well as Com-Poisson models. The assumption of equi-dispersion was
tested and was rejected, indicating that Poisson regression would not be appropriate. Instead the
Poisson-Gamma regression and Com-Poisson would be more appropriate. The Likelihood Ratio
(LR), Deviance and Pearson residual chi-squared statistics as well as information criteria were
used to test the assumptions of the underlying distributions.
However, the result of the research reflects that number of people killed through road accident is
not function of number of vehicles involved. Rather the number of cases of road accidents
contributes to the number of people killed. Road accident data of Lagos State, Nigeria for twelve
consecutive years from 1996 to 2007, primarily collected by the Lagos Bureau of Statistics (LBS),
were used in this study.
Keywords: Poisson, Poisson-Gamma, Com-Poisson, Over-Dispersion, Under-Dispersed, EquiDispersion, Generalized Linear Model, Accident Data.
44 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
A Statistical Analysis of Reported Cases of Examination
Malpractice in Nigeria
Johndamascene C. Imoh
A.N.P Uchegbulem
Department of Mathematics/Statistics
Imo State Polytechnic
Umuagwo-Ohaji, Owerri,
Imo, Nigeria
The effect of two factors (nature of malpractice and state), in the data on May/June WASSCE
Examination malpractice (2004-2014) were studied independently of each other in this research
work. The nature of malpractice taken as a factor has 8 levels (1,2,…8), and the analysis showed
that there is a significant difference in the degree of malpractice for the levels of May/June
WASSCE examination malpractice.
The state at 37 level (1,2,….37), Abuja inclusive equally showed that there is a significant
difference in the degree of malpractice. The data was measured in indices. One- way analysis of
variance was used for the analysis. The result shows that the Exam malpractice indices differ
significantly among the nature of malpractices and states. However, the third level of nature of
malpractice (collusion) gave the highest mean malpractice index followed by the 1 st level
(Bringing in of foreign materials) while the 33rd level of state (Rivers) gave the highest mean
malpractice index followed by the 11th level (Delta). The assumptions in the model used namely
constant variance, normality, independence were examined graphically with the help of the
residuals and fitted values, and were found to be violated. However, the non parametric alternative
to the ANOVA f-test (Kruskal Wallis Test) that does not require the validity of any distributional
assumption was directly applied to the data above, and the results were valid as before namely;
that the degree of examination malpractice differs significantly among the nature of malpractice
and states.
Keywords: Nature Of Malpractice, Constant Variance, Normality, Independence, ANOVA f-test
45 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
An Analytic Re-Examination of Foreign Trade Management
and Economic Growth in Nigeria using Factor Analysis
Approach
Olanrewaju Adeniyi Damilola
Distance Learning Institute
University of Lagos,
Akoka, Lagos, Nigeria.
The relationship between foreign trade and economic growth has been examined by many scholars
using the Ordinary Least Square (OLS) regression method. However, the peculiar limitations of
the OLS approach necessitated this study and the factor analysis approach was employed. A main
benefit of factor analysis is that with just a few components, it can be used to explain a large
percentage of total variance, thus compressing similar variables with common factors together.
Secondary data between 1980 and 2013 was obtained from Central Bank of Nigeria and Nigerian
Bureau of Statistics for analysis. The variables considered in this study are foreign direct
investment, foreign exchange, population, total exports, total imports, gross domestic product,
inflation rate, per capita income, economic openness, unemployment rate and real interest rate.
The Bartlett’s test of Sphericity was significant (p<0.05) and the collected data was deemed
appropriate for factor analysis. In addition, the Kaiser-Meyer-Olkin (KMO) measure of sampling
adequacy with a KMO index of 0.758 was considered suitable for factor analysis, as it was above
the recommended minimum value of 0.60. A principal component analysis was performed using
the Varimax with Kaiser normalisation rotation method, which converged in three iterations but
with two components. The 1st factor had an Eigenvalue of 7.748 representing 70.44% of the total
variance while the 2nd factor had an Eigenvalue of 1.939. Both 1st and 2nd factors account for
88.07% of the total variance. Since other factors had Eigenvalue below 1.000, it implied that two
distinct factors were extracted in the study. The scree plot also began to level off after the second
point, which suggested that all other additional factors after the second factor/plot explain less
variance than a single variable. This means two factors are extracted. The first factor is referred to
as ‘efficient-economy driver’ while the second factor is called the ‘economy-growth clasper’.
Implications of the findings are discussed.
Keywords: Factor Analysis, Bartlett’s Test, Eigenvalue.
46 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
Unsteady MHD Boundary-Layer Slip-Flow and Mass
Transfer over a Convectively Heated Stretching Cylinder
Immersed in Porous Medium with Waste Discharge
Concentration
A. Adeniyan
[email protected]
Department of Mathematics,
University of Lagos,
Akoka, Yaba,
Lagos, Nigeria
S. S. Okoya
[email protected]
The office of Pastor Eunoch Adejare Adeboye
Chair,
Department of Mathematics,
University of Lagos,
Akoka, Yaba,
Lagos, Nigeria
The unsteady two-dimensional MHD boundary-layer stagnation point flow and mass transfer over
a convectively heated stretching cylinder encompassed in a saturated porous medium is presented
here by taking into account the Ohmic dissipation, transient dispersion of a pollutant spewed by an
external source in the presence of a uniform transverse magnetic field and stress work. The
laminar flow of viscous incompressible and electrically conducting fluid exposed to a uniform
transverse magnetic field is assumed to be Newtonian and ascribable to the Darcian law with
Boussinesq approximation. The nonlinear governing partial differential equations of the flow
model are converted into a set of ordinary differential equations by means of appropriate similarity
transformations and consequently solved numerically using the forth order Runge-Kutta method
with a shooting technique. The results are depicted graphically for some salient values of the
emerging physical parameters for flow, temperature and concentration fields. In addition, the skinfriction coefficient, the heat and pollution mass concentration rates are sorted out in tabular form,
analyzed and discussed. Authentication of our numerical results has been carried out through
comparison with previous study in the literature indicating a positive affirmation.
Keywords: Forced Convection, Permeable Hollow Cylinder, Porous Medium, Pollutant
Concentration, Ohmic Dissipation, Convective Boundary Condition.
47 | P a g e
ICAPTA 2016
March 9 – 12 2016, Lagos, Nigeria
An Application of Conjoint Analysis to Passenger Preference
Assessment within the Nigerian Domestic Airline Industry
Oladipupo Ajeyalemi
[email protected]
Distance Learning Institute,
University of Lagos,
Akoka, Yaba,
Lagos, Nigeria
This study seeks to understand why many airlines have failed or become defunct in Nigeria and
how the available institutional environment in Nigeria may have affected the organizational
performance of airlines. Some of the research objectives of this study are to discover what is
happening, why they are happening, examine new perspectives and comprehend different insights
as it affects the aviation industry, especially due to the dynamic and complex nature of the industry
and circumstances surrounding the industry. When it concerns the revelation or comprehension of
a phenomenon, such as the constant massive failure of various airline companies, then it is
necessary to rely on or employ the use of semi-structured and in-depth interviews (Bryman & Bell,
2011; Saunders, Lewis & Thornhill, 2007). Since this study is essentially interested in probing
meanings and finding explanations to the phenomenon of airline performance or non-performance
in Nigeria, it became imperative to undertake a qualitative study by conducting semi-structured
interviews (Saunders et al., 2007).
Keywords: Conjoint Analysis, Airlines.
48 | P a g e