Definition of the feasible solution set in multicriteria optimization problems with continuous, discrete, and mixed design variables

DOI10.1016/j.na.2008.10.050zbMath1238.90120OpenAlexW2070639311MaRDI QIDQ419719

Roman Statnikov, Alex Bordetsky, Alexander Statnikov, Josef Matusov, Ilya M. Sobol'

Publication date: 20 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.10.050

zbMATH Keywords

discretemulticriteria optimization problemscontinuousand mixed design variablesfeasible solution setMOVIPSI method

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29)

Related Items (2)

Multiobjective topology optimization of truss structures with kinematic stability repair ⋮ Multicriteria engineering optimization problems: statement, solution and applications

Uses Software

• MOVI

Cites Work

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• Numerical solution of optimal control problems with discrete-valued system parameters
• Multicriteria analysis tools in real-life problems
• Use of \(P_ \tau\)-nets for the approximation of the Edgeworth-Pareto set in multicriteria optimization
• Stochastic Discrete Optimization
• Optimization of trusses using genetic algorithms for discrete and continuous variables
• Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates

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