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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 8, Pages 1401–1415
DOI: https://doi.org/10.7868/S0044466916080147 (Mi zvmmf10438) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Hausdorff methods for approximating the convex Edgeworth–Pareto hull in integer problems with monotone objectives

A. I. Pospelovab

a Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia
b DATADVANCE, Pokrovskii bul. 3/1B, Moscow, Russia
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DOI: https://doi.org/10.7868/S0044466916080147
Abstract: Adaptive methods for the polyhedral approximation of the convex Edgeworth–Pareto hull in multiobjective monotone integer optimization problems are proposed and studied. For these methods, theoretical convergence rate estimates with respect to the number of vertices are obtained. The estimates coincide in order with those for filling and augmentation $H$-methods intended for the approximation of nonsmooth convex compact bodies.
Key words: adaptive methods, polyhedral approximation, convergence rate, multiobjective optimization, Pareto frontier, integer optimization.
Funding agency Grant number
Russian Science Foundation 14-50-00150
Received: 15.05.2015
Revised: 17.12.2015
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 8, Pages 1388–1401
DOI: https://doi.org/10.1134/S0965542516080133
Bibliographic databases:
Document Type: Article
UDC: 519.658
Language: Russian
Citation: A. I. Pospelov, “Hausdorff methods for approximating the convex Edgeworth–Pareto hull in integer problems with monotone objectives”, Zh. Vychisl. Mat. Mat. Fiz., 56:8 (2016), 1401–1415; Comput. Math. Math. Phys., 56:8 (2016), 1388–1401
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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