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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 application of fuzzy goal programming to a multiobjective project network problem

TL;DR: A practical application of fuzzy goal programming (FGP) in a real-life project network problem with two objectives as minimum completion time and crashing costs wanted to be optimized simultaneously is presented.
Journal ArticleDOI

An Interactive Multistage ε-Inequality Constraint Method For Multiple Objectives Decision Making

TL;DR: In this article, an interactive multistage multi-objective decision-making (MODM) method was proposed to obtain a preferred Pareto solution for non-convex problems.
Journal ArticleDOI

Normal boundary intersection method for suppliers’ strategic bidding in electricity markets: An environmental/economic approach

TL;DR: Numerical results demonstrate the potential and effectiveness of the proposed multiobjective approach to develop successful bidding strategies in those energy markets that minimize generation cost and emission of pollutants simultaneously.
Journal ArticleDOI

Multicriteria spatial allocation of educational resources: an overview

TL;DR: The MCDM problem involves a set of alternative allocation plans evaluated on the basis of multiple, conflicting and noncommensurate criteria by several interest groups as discussed by the authors, which are often characterized by unique preferences with respect to the relative importance of criteria against which the alternative plans are evaluated.
Journal ArticleDOI

Electricity supply industry modelling for multiple objectives under demand growth uncertainty

TL;DR: In this article, the authors represent the South African ESI using a partial equilibrium E3 modelling approach, and extend the approach to include multiple objectives under selected future uncertainties, by assigning cost penalties to non-cost attributes to force the model's least-cost objective function to better satisfy noncost criteria.