Multiobjective Optimization

Behavioral and Computational Considerations

By: Jeffrey L. Ringuest

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Hardcover | 30 June 1992

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188 Pages

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24.0 x 15.88 x 1.91

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Traditional mathematical programming has concentrated on problems that can be solved by achieving a single objective. In reality, many multi-objective situations exist; concentrating on a single goal limits the applicability of math programming models. Accordingly, multiobjective optimization has emerged as a rapidly growing area. In this monograph the author draws from the more mature body of literature on multicriterion decision theory to enhance understanding of multiobjective optimization. There are obvious commonalities between the two areas, but to date no one has presented a book which unifies the two. That is the aim of Multiobjective Optimization: Behavioral and Computational Considerations. There are many behavioral and computational issues which are relevant to multiobjective optimization. These issues cross the disciplines of behavioral decision theory, information and decision support systems, and computational analysis.

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Dedication
Table of Contents
Preface
Introduction	p. 1
Multiple Objective Optimization	p. 1
Dominance And Efficiency	p. 3
Multiattribute Value And Utility Theory	p. 5
Functional Forms And Independence Conditions	p. 6
Value Functions As Compared To Utility Functions	p. 12
Optimizing The Multiattribute Utility Or Value Function	p. 14
References	p. 15
Other Relevant Readings	p. 16
Linear Goal Programming	p. 19
The Goal Programming Model	p. 19
Aspiration Levels	p. 22
Weights	p. 23
Preemptive Priorities	p. 24
Multiattribute Value Theory	p. 25
Specifying The Weights In An Additive Value Function	p. 28
Sensitivity Analysis	p. 32
References	p. 35
Other Relevant Readings	p. 37
Generalizing Goal Programming	p. 39
Linear Goal Programming	p. 39
Piecewise Linear Approximations Of Single Attribute Value Functions	p. 39
Goal Programming With A Multiplicative Value Function	p. 45
Nonlinear Goal Programming	p. 49
References	p. 50
Compromise Programming	p. 51
Ideal Solutions	p. 51
Compromise Functions	p. 52
Compromise Solutions And The Compromise Set	p. 54
The Anti-Ideal And Compromise Programming	p. 54
The Method Of The Displaced Ideal	p. 55
Compromise Programming, Linear Goal Programming, And Multiattribute Value Functions	p. 56
References	p. 58
Decision Making and the Efficient Set	p. 61
The Efficient Set	p. 61
Intra-Set Point Generation	p. 63
Filtering	p. 64
Clustering	p. 67
Matching And Grouping	p. 68
Sectioning	p. 74
A Stochastic Screening Approach	p. 76
References	p. 79
Other Relevant Readings	p. 80
Interactive Methods	p. 81
The General Interactive Approach	p. 81
Examples Of Interactive Methods	p. 82
Simplified Interactive Multiple Objective Linear Programming (SIMOLP)	p. 83
Interactive Multiobjective Complex Search	p. 86
Choosing An Interactive Method	p. 92
References	p. 92
Computational Efficiency and Problems With Special Structure	p. 95
Network Flow Problems	p. 95
Multiple Objective Network Flow Problems	p. 97
A Network Specialization Of A Multiobjective Simplex Algorithm	p. 97
Compromise Solutions For The Multiobjective Network Flow Problem	p. 99
Interactive Methods For The Multiobjective Network Flow Problem	p. 101
References	p. 107
Computational Efficiency and Linear Problems of General Structure	p. 111
Computational Efficiency And The Ideal Solution	p. 111
Test Problems	p. 116
Computer Codes	p. 117
Results	p. 120
Other Computational Studies	p. 141
References	p. 141
Using Multiobjective Linear Programming to Reconcile Preferences Over Time	p. 145
Preferences Over Time	p. 145
The Behavioral Properties Of NPV	p. 146
A More General NPV Model	p. 148
Using Multiobjective Linear Programming As An Alternative To NPV	p. 149
The Advantages Of Using Multiobjective Linear Programming For Reconciling Preferences Over Time	p. 151
References	p. 152
Data Presentation and Multiobjective Optimization	p. 153
Data Representation And The Axioms Of Utility Theory	p. 153
The Framing Of Decisions	p. 157
Reconciling The Decision Frame	p. 161
Perception Of The Ideal	p. 162
References	p. 163
Index	p. 165
Table of Contents provided by Blackwell. All Rights Reserved.

Multiobjective Optimization

Behavioral and Computational Considerations

At a Glance

Hardcover

Shipping

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