Multiple criteria optimization : theory, computation, and application
著者
書誌事項
Multiple criteria optimization : theory, computation, and application
（Wiley series in probability and mathematical statistics, . Applied probability and statistics）
Wiley, c1986
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注記
Includes bibliographies and index
内容説明・目次
内容説明
A text on operations research statistics designed for junior and senior graduate courses in multiple criteria decision making, multiple criteria optimization, and multiple objective programming. The book shows how to implement the techniques of multiple criteria optimization for solving large-scale multiple objective problems on a computer. It contains full details on such recent breakthrough developments as the Tchebycheff method, a method that enables one to solve large-scale multiple objective linear, integer and nonlinear programming problems. Included are numerous exercises for solving problems manually and by using a computer.
目次
- Mathematical Background
- Topics from Linear Algebra
- Single Objective Linear Programming
- Determining all Alternative Optima
- Comments about Objective Row Parametric Programming
- Utility Functions, Nondominated Criterion Vectors and Efficient Points
- Point Estimate Weighted-sums Approach
- Optimal Weighting Vectors, Scaling and Reduced Feasible Region Methods
- Vector-Maximum Algorithms
- Goal Programming
- Filtering and Set Discretization
- Multiple Objective Linear Fractional Programming
- Interactive Procedures
- Interactive Weighted Tchebycheff Procedure
- Tchebycheff/Weighted-Sums Implementation
- Applications
- Future Directions
- Index.
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