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内容简介:
This broad view of multiobjective programming,a specialty of opera-tions research,emphasizes the methods most usefuI for continuous problems.It reviews multiobjective programming methods in the context of public decision—making problems,developing each prob-lem within a context that addresses practical aspects of planning jsslles.
Topics include a review 0flinear programming.the formulation 0f the general muItiobjective programming problem,classification 0f multi.objective programming methods.techniques for generating noninfe,rior solutions,and solution techniques that incorporate preferences.0ther subjects range from multiple--decision—.making methods and multiobjective analysis of water resource problems to muItjobiective analysis 0f facility location problems and a summary and prospects for future development.
Designed as both a reference and a textbook,this graduate-level v01.ume is accessible to readers without an extensive mathematical back—ground;asterisks indicate mathematically advanced sections,which may be skipped.
书籍目录:
PreJace to theDoverEdition
Preface
Acknowledgments
CHAPTER 1 Introduction
1.1 Value of Multiobjective Approaches
1.2 Examples of Multiobjective Problems
1.3 Histot‘ical Perspectives and Scope of the Book
1.4 Plan for the Remainder ofthe Book
CHAPTER 2 The Multiobjective Planning Problem
2.1 Muhiobjective Programming and Planning
2.2 A Planning Methodology
2 3 The Identification and Measurement of O~ectives
CHAPTER 3 Review of Linear Programming
3.1 Mathematical Programming Definitions
3 2 The Assumptions of Linear Programming
3.3 A Sample Problem
3.4 The General Activity Analysis Problem
3.5 Graphical Solution of Linear Programming Problems
3.6 Mathematical Characterization of Extreme Points
3.7 Computational Procedures for Solving Linear Programming Problems
3.8 The Simplex Method
3.9 Duality,Sensitivity Analysis,and Parametric Programming
3.10 The Kuhn—Tucker Conditions
CHAPTER 4 Formulation of the General Muitiobjective Programming Problem
4 1 Formulation of the Problem
4.2 Noninferiority
4.3 Terminology for Multiobjective Programming
4.4 Mathematical Restatement of Noninferiority
4.5 Kuhn—Tucker Conditions for Noninferior Solutions
CHAPTER 5 Classification of Multiobjective Programming Methods
5.1 A Categorization of Techniques
5.2 A View of Public Decision Making
5.3 The Applicability of Solution Methods to Public Decision’Making Problems
5.4 Computational Requirements
5.5 Evaluating the Methods
CHAPTER 6 Techniques for Generating Noninferior Solutions
6.1 The Weighting Method
6.2 The Constraint Method
6 3 The Noninferior Set Estimation(NISE)Method
6.4 Multiobjective Simplex Method
6 5 Complicating Issues for the Use of Generating Techniques
CHAPTER 7 Solution Techniques That Incorporate Preferences
7.1 Multiattribute Utility Functions
7 2 Prior Assessments of Weights
7.3 Methods Based on Geometrical Definitions of Best
7.4 The Surrogate Worth Tradeoff Method
7.5 lterative Techniques
CHAPTER 8 Multiple.Decision-Maker Methods
8.1 Aggregation of Individual Preferences
8.2 COunseling an Individual Decision Maker:In Search of the Public Interest
8.3 Predicting Political Outcomes
CHAPTER 9 Multiobjective Analy of Water Resource Problems
CHAPTER 10 Multiobjective Analysis of Facility Location Problems
CHAPTER 11 Summary and Prospects for Future Development
References
Index
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书籍介绍
This text takes a broad view of multiobjective programming, emphasizing the methods most useful for continuous problems. It reviews multiobjective programming methods in the context of public decision-making problems. Topics include a review of linear programming, the formulation of the general multiobjective programming problem, much more. 1978 edition.
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