Course Syllabus
CC4920: Multicriteria Analysis
Contact Information
Instructor:
Phone:
Fax:
E-mail:
Office Hours:
Roman Statnikov
(831) 656-3161
(831) 656-3679
[email protected]
To be assigned
Course Goal
The major goal of this course is to learn where and how to search for the best solutions of real-life
multicriteria problems.
Course Description
The majority of real-life optimization problems such as design, identification, design of controlled
systems, operational development of prototypes, and optimization of large-scale systems are
multicriteria in their essence. These criteria are usually contradictory, so improving some of the
criteria leads, as a rule, to the deterioration of the others. That is why specialists experience
significant difficulties in stating these problems correctly, so that they end up solving ill-posed
problems.
This interdisciplinary course will introduce a sound methodology for correct statement and
solution of real-life optimization problems, called the Parameter Space Investigation (PSI)
method. This technique has been widely integrated into various fields of industry, science, and
technology. The PSI method is implemented in the comprehensive software system MOVI
(Multicriteria Optimization and Vector Identification) that will be used and distributed during the
course.
The major objective of this course is to learn where and how to search for the best solutions of
real-life multicriteria problems. The students will be exposed to solution of real-life problems via
interactive dialogues with the computer that provide information on potential gains and losses in
making decisions. The students will master various tools for multicriteria analysis and will be able
to determine the feasible and Pareto optimal solution sets, identify the most significant
parameters, determine the influence of the parameters on the criteria, investigate dependencies
between the criteria, formulate reasonable constraints on parameters, criteria, and functional
relationships, and indicate advisability of improving the optimal solutions by correcting the
constraints.
Targeted Audience
The course is designed for graduate students, researchers, and specialists who deal with real-life
optimization and other multicriteria decision-making problems.
Course Format
All course modules are offered online using the Blackboard learning support system. Questions
and discussion will take place over the period of the course using online forums. A number of
interactive media elements are also available online for better comprehension of the material.
Course Materials
All course materials are available online on the course website including:
 Lecture notes
 Powerpoint presentations
 Interactive media elements & animations
 Research articles
 Online tutorials
 MOVI software system
Textbook
Required:

Statnikov R.B. and J.B. Matusov, Multicriteria Analysis in Engineering. Dordrecht/ Boston
/ London: Kluwer Academic Publishers, 2002.
Recommended:


Statnikov R.B., Multicriteria Design. Optimization and Identification. Dordrecht/ Boston /
London: Kluwer Academic Publishers, 1999.
Statnikov R.B. and J.B. Matusov, Multicriteria Optimization and Engineering. New York:
Chapman & Hall, 1995.
Prerequisites
The only requirement is the understanding of basic concepts of the calculus and linear algebra
(e.g., derivatives, vectors, etc). It is also recommended (but not required) that students have
basic programming skills in C/C++, Matlab, or Borland Delphi.
Late Policy
We will be flexible with late submissions.
Grading Policies
The course grade will be based on the following mandatory activities: homework assignments,
quizzes, projects, and final exam. Throughout the course students will have several opportunities
for earning extra credit points. The following grades will be assigned based on the sum of points.
A: >=90
B: 80-89
C: 70-79
D: 60-69
F: <60
The course website will provide with detailed information about computation of the grade.
Course Topics and Tentative Schedule
Week 1:
Module 1.
 Topic: "Introduction: The Best Solutions and Where To Look For Them."
 Homework (Introduction-Homework) assigned
Week 2:
Module 1.
 Topic: "Introduction: The Best Solutions and Where To Look For Them."
 Homework (Introduction-Homework) due (end of week)
 Quiz (Introduction-Quiz)
Week 3:
Module 2.
 Topic: "Multicriteria Optimization And Parameter Space Investigation Method"
 Homework (PSI-Homework1) assigned
 Homework (PSI-Homework1) due (end of week)
 Project 1 assigned (this is an optional extra-credit project)
 Quiz (PSI-Quiz)
Week 4:
Module 2.
 Topic: "Multicriteria Optimization And Parameter Space Investigation Method"
 Homework (PSI-Homework2) assigned
 Homework (PSI-Homework2) due (end of week)
Week 5:
Module 3.
 Topic: "MOVI (Multicriteria Optimization and Vector Identification) Software Package."
 Project 1 due
 Project 2 assigned
 Quiz (MOVI-Quiz)
Week 6:
Module 3.
 Topic: "MOVI (Multicriteria Optimization and Vector Identification) Software Package."
 Work on Project 2
Week 7:
Module 3.
 Topic: "MOVI (Multicriteria Optimization and Vector Identification) Software Package."
 Project 2 due (end of week)
Week 8:
Module 4.
 Topic: "Multicriteria Design"
 Projects on Modules 4-6 assigned (select one project for Modules 4-6)
 Quiz (Multicriteria Design-Quiz)
 Work on Project for Module 4
Week 9:
Module 5.
 Topic: "Multicriteria Identification"
 Quiz (Multicriteria Identification-Quiz)
 Work on Project for Module 5
Week 10:
Module 6.
 Topic: "Other Multicriteria Problems: Large-Scale Systems and Design of Controlled Engineering
Systems."
 Quiz (Systems-Quiz)
 Work on Project for Module 6
Weeks 11-12:




Report for projects on Modules 4-6 due
Preparation for the final exam
Final exam
Discussion of final exam
http://www.psi-movi.com/hes/ (здесь Вы найдете все домашние задания и тесты по курсу Статникова)
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