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Multicriteria Optimization

by Matthias Ehrgott , 2005
"... n Using some real-world examples I illustrate the important role of multiobjective optimization in decision making and its interface with preference handling. I explain what optimization in the presence of multiple objectives means and discuss some of the most common methods of solving multiobjectiv ..."
Abstract - Cited by 322 (4 self) - Add to MetaCart
n Using some real-world examples I illustrate the important role of multiobjective optimization in decision making and its interface with preference handling. I explain what optimization in the presence of multiple objectives means and discuss some of the most common methods of solving

Multicriteria Optimization . . .

by Michael Emmerich, André Deutz , 2006
"... ..."
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Abstract not found

Multicriteria-optimized triangulations

by I. Kolingerová, A. Ferko - The Visual Computer , 2001
"... ..."
Abstract - Cited by 3 (0 self) - Add to MetaCart
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Multicriteria Optimization in Product Platform Design

by Matthew B. Parkinson - Journal of Mechanical Design , 2001
"... A product platform is a set of common components, modules or parts from which a stream of derivative products can be created. Product platform design requires selection of the shared parts and assessment of the potential sacrifices in individual product performance that result from parts sharing. A ..."
Abstract - Cited by 31 (6 self) - Add to MetaCart
multicriteria optimization problem can be formulated to study such decisions in a quantitative manner at the product performance level. Studying the Pareto sets that correspond to various derivative products leads to a systematic methodology for design decision making. Design of a nail gun platform is used

Risky Choices and Multicriteria Optimization

by W. Ogryczak , 1997
"... The problem of choice among uncertain prospects is usually considered as a bicriteria optimization problem where a reasonable trade–off between expected return and risk is sought. In the classical Markowitz model the risk is measured with variance thus generating a quadratic programming model. The M ..."
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The problem of choice among uncertain prospects is usually considered as a bicriteria optimization problem where a reasonable trade–off between expected return and risk is sought. In the classical Markowitz model the risk is measured with variance thus generating a quadratic programming model

EQUITY, FAIRNESS AND MULTICRITERIA Optimization

by Włodzimierz Ogryczak
"... ..."
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Map Layout Using Multicriteria Optimization

by Jonathan M. Stott, Peter Rodgers - Proc. of International Conference on Information Visualisation (IV04 , 2004
"... We describe a system to automatically generate metro maps using a multicriteria approach. We have implemented a hill climbing optimizer which uses a fitness score generated from a sum of several aesthetic metrics. This is used to move from the initial geographic layout of the map to a schematic layo ..."
Abstract - Cited by 18 (1 self) - Add to MetaCart
We describe a system to automatically generate metro maps using a multicriteria approach. We have implemented a hill climbing optimizer which uses a fitness score generated from a sum of several aesthetic metrics. This is used to move from the initial geographic layout of the map to a schematic

Steepest descent methods for multicriteria optimization

by B. Fux Svaiter - Mathematical Methods of Operations Research
"... We propose a steepest descent method for unconstrained multicriteria op-timization and a “feasible descent direction ” method for the constrained case. In the unconstrained case, the objective functions are assumed to be contin-uously differentiable. In the constrained case, objective and constraint ..."
Abstract - Cited by 22 (0 self) - Add to MetaCart
We propose a steepest descent method for unconstrained multicriteria op-timization and a “feasible descent direction ” method for the constrained case. In the unconstrained case, the objective functions are assumed to be contin-uously differentiable. In the constrained case, objective

Approximation Algorithms for Combinatorial Multicriteria Optimization Problems

by Matthias Ehrgott - International Transactions in Operational Research , 2000
"... The computational complexity of combinatorial multiple objective programming problems is investigated. INP -completeness and #P -completeness results are presented. Using two definitions of approximability, general results are presented, which outline limits for approximation algorithms. The perform ..."
Abstract - Cited by 26 (2 self) - Add to MetaCart
. The performance of the well known tree and Christofides' heuristics for the TSP is investigated in the multicriteria case with respect to the two definitions of approximability. Keywords: Multicriteria Optimization, Combinatorial Optimization, INP -completeness, Approximation Algorithms AMS subject

Integrating Approximation and Interactive Decision Making in Multicriteria Optimization

by Kathrin Klamroth - Operations Research
"... We present a new interactive hybrid approach for solving multicriteria optimization problems where features of approximation methods and in-teractive approaches are incorporated. We produce rough approximations of the nondominated set and let the decision maker indicate with the help of reference po ..."
Abstract - Cited by 9 (2 self) - Add to MetaCart
We present a new interactive hybrid approach for solving multicriteria optimization problems where features of approximation methods and in-teractive approaches are incorporated. We produce rough approximations of the nondominated set and let the decision maker indicate with the help of reference
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