Convergence estimates for crude approximations of a Pareto set.

DOI10.1016/S0898-1221(02)00200-6zbMath1047.90063OpenAlexW1977806441MaRDI QIDQ1416295

E. E. Myshetskaya, Ilya M. Sobol'

Publication date: 14 December 2003

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(02)00200-6

zbMATH Keywords

OptimizationPareto-optimalityEfficient pointsMultiple criteria decison makingNondominated pointsQuasi-random search

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29)

Related Items (4)

On the 80th birthday of Il’ya Meierovich Sobol ⋮ Small sample uniformity in random number generation ⋮ Balance set and Pareto solutions in linear space with application to ongoing optimal resource allocation, investment planning, production, and control problems with multiple objectives ⋮ Set contraction algorithm for computing Pareto set in nonconvex nonsmooth multiobjective optimization

Cites Work

• Recent advances and historical development of vector optimization. Proceedings of an International Conference on Vector Optimization Held at the Technical University of Darmstadt, FRG, August 4-7, 1986
• An efficient approach to multicriteria optimum design problems
• On the crude multidimensional search
• A pseudo-random number generator for personal computers
• Determination of the extremal values of a function of several variables satisfying a generalized Lipschitz condition
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