Study of convergence rate and efficiency of two-phase methods for approximating the Edgeworth-Pareto hull

DOI10.1134/S0965542513040039zbMath1299.90292MaRDI QIDQ5413037

Georgy K. Kamenev

Publication date: 28 April 2014

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

approximationlocal optimizationPareto frontierEdgeworth-Pareto hull\(\epsilon\)-capacity\(\epsilon\)-entropytwo-phase methodsnonlinear multicriteria optimization

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29)

Related Items

Approximation of the effective hull of a nonconvex multidimensional set given by a nonlinear mapping, New external estimate for the reachable set of a nonlinear multistep dynamic system, Study of hybrid methods for approximating the Edgeworth-Pareto hull in nonlinear multicriteria optimization problems, Decomposition of the problem of approximating the Edgeworth-Pareto hull, Launch pad method in multiextremal multiobjective optimization problems, Method for constructing optimal dark coverings, Multicriteria identification sets method, Simple efficient hybridization of classic global optimization and genetic algorithms for multiobjective optimization

Cites Work

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• Convergence analysis of two-phase methods for approximating the Edgeworth-Pareto hull in nonlinear multicriteria optimization problems
• Study of an adaptive single-phase method for approximating the multidimensional Pareto frontier in nonlinear systems
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