DSS & Warehousing Systems Chapter 8 Efrem Mallach Prepared by Luvai Motiwalla 1 Irwin/McGraw-Hill Copyright © 2000 by The McGraw-Hill Companies, Inc. All rights reserved. Models in Decision Support Systems 2 Introduction Model types Model types used in DSS Discrete – event simulation models Designing a discrete – event simulation model Complete simulation studies Random numbers, Pseudo – Random numbers and statistical distributions Static simulation models Irwin/McGraw-Hill Copyright © 2000 by The McGraw-Hill Companies, Inc. All rights reserved. Introduction 3 All DSS above the simplest data - oriented ones are based on models. Irwin/McGraw-Hill Copyright © 2000 by The McGraw-Hill Companies, Inc. All rights reserved. Model Types 4 Basic types of system models include graphical models, physical models, mathematical, and symbolic or information – based models. The information – based models is more accurate, though it is not used as widely because it is a bit more cumbersome. Irwin/McGraw-Hill Copyright © 2000 by The McGraw-Hill Companies, Inc. All rights reserved. Model Types Used in DSS 5 Systems versus process models Static versus dynamic models Irwin/McGraw-Hill Copyright © 2000 by The McGraw-Hill Companies, Inc. All rights reserved. 6 Continuous versus discrete- event models Deterministic versus stochastic models Irwin/McGraw-Hill Copyright © 2000 by The McGraw-Hill Companies, Inc. All rights reserved. Discrete – Event Simulation Models 7 The concept of discrete – event simulation Irwin/McGraw-Hill Copyright © 2000 by The McGraw-Hill Companies, Inc. All rights reserved. Designing a Discrete – Event Simulation Model 8 The process of designing a discrete – event simulation model. Simulation languages generally include capabilities that will allow you to develop your model more quickly. Irwin/McGraw-Hill Copyright © 2000 by The McGraw-Hill Companies, Inc. All rights reserved. Complete Simulation Studies 9 A full – scale simulation study runs the simulation several times for each state of controllable variables to give us a distribution of results Irwin/McGraw-Hill Copyright © 2000 by The McGraw-Hill Companies, Inc. All rights reserved. Random Numbers, Pseudo - Random Numbers and Statistical Distributions-cont’d 10 The behavior of a simulation model depends on the numbers that determine when each event occurs. Irwin/McGraw-Hill Copyright © 2000 by The McGraw-Hill Companies, Inc. All rights reserved. Random Numbers, Pseudo - Random Numbers and Statistical Distributions 11 When you want a non uniform distribution, you must convert the output of the built – in function to a number from the desired distribution. This is done via cumulative distribution function ( CDF). Irwin/McGraw-Hill Copyright © 2000 by The McGraw-Hill Companies, Inc. All rights reserved. Static Simulation Models-cont’d 12 Simulation models are dynamic. There are also static situations where we can apply the same idea of using pseudo – random numbers to drive a system model. Irwin/McGraw-Hill Copyright © 2000 by The McGraw-Hill Companies, Inc. All rights reserved. Static Simulation Models 13 Packages are available to help decision makers use static, stochastic, simulation models. Irwin/McGraw-Hill Copyright © 2000 by The McGraw-Hill Companies, Inc. All rights reserved.
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