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Multiple Criteria Optimization: Theory, Computation, and Application

R. S. Laundy
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TLDR
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.
Abstract
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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Citations
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Journal ArticleDOI

Solving multiple objective linear programs in objective space

TL;DR: In this article, the authors present an analysis of the objective space for a multiple objective linear program and develop a procedure for determining the non-defined extreme points and edges in objective space.
Journal ArticleDOI

An LP-based approach to cutting stock problems with multiple objectives

TL;DR: In this paper, it is shown how these problems can be formulated and solved by applying interactive techniques known from Multiple Criteria Decision Making (MCDM), and special attention is paid to questions of implementing such methods.
Proceedings ArticleDOI

Genetic Algorithms Optimization of Diesel Engine Emissions and Fuel Efficiency with Air Swirl, EGR,Injection Timing and Multiple Injections

TL;DR: In this article, a computational model of diesel engines named HIDECS is incorporated with the genetic algorithm (GA) to solve multi-objective optimization problems related to engine design, and an extended GA called the Neighborhood Cultivation Genetic Algorithm is used as an optimizer due to its ability to derive the solutions with high accuracy effectively.
Journal ArticleDOI

A case-based distance method for screening in multiple-criteria decision aid ☆

TL;DR: In this paper, a case-based distance method is proposed to elicit the decision maker's preferences more expeditiously and accurately than direct inquiry, which is used in water supply planning.
Book ChapterDOI

Metco: a parallel plugin-based framework for multi-objective optimization

TL;DR: In this paper, the authors present a parallel framework for the solution of multi-objective optimization problems, which implements some of the best known multiobjective evolutionary algorithms, and makes use of configuration files to provide a more extensive and simple customization environment than other similar tools.