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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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Journal ArticleDOI

An Orthogonal Multi-objective Evolutionary Algorithm for Multi-objective Optimization Problems with Constraints

TL;DR: The numerical experiments show that the proposed orthogonal multi-objective evolutionary algorithm (OMOEA) is superior to other MOGAS and MOEAs, such as FFGA, NSGAII, SPEA2, and so on, in terms of the precision, quantity and distribution of solutions.
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A multiobjective modeling approach to locating incinerators

TL;DR: A mixed-integer, multiobjective programming approach to identify the locations and capacities of hazardous material incineration facilities and is designed so that it can be used by decision makers with no special training in dispersion modeling, multiObjective programming, or GIS.
Book ChapterDOI

Multiple criteria mathematical programming: an updated overview and several approaches

TL;DR: MCDM refers to making decisions in the presence of multiple, usually conflicting, objectives, which pervade all that the authors do and include such public policy tasks as determining a country’s policy developing a national energy plan, as well as planning national defense expenditures.
Journal ArticleDOI

Interactive Multiobjective Optimization Procedure

TL;DR: In this article, an interactive multiobjective optimization procedure (IMOOP) that uses an aspiration-level approach to generate Pareto points is developed, which provides the designer or the decision maker with a formal means for efficient design exploration around a given pareto point.
Journal ArticleDOI

A Comparative Study of Multiple-Objective Metaheuristics on the Bi-Objective Set Covering Problem and the Pareto Memetic Algorithm

TL;DR: The results indicate that the performance of multiple-objective metaheuristics may differ radically even if the methods are based on the same single objective algorithm and use exactly the same problem-specific operators.