An optimal local approximation algorithm for max-min linear programs


Autoria(s): Floreen, Patrik; Kaasinen, Joel; Kaski, Petteri; Suomela, Jukka
Contribuinte(s)

University of Helsinki, Department of Computer Science

University of Helsinki, Helsinki Institute for Information Technology HIIT (-2009)

University of Helsinki, Helsinki Institute for Information Technology HIIT

Data(s)

2009

Resumo

In a max-min LP, the objective is to maximise ω subject to Ax ≤ 1, Cx ≥ ω1, and x ≥ 0 for nonnegative matrices A and C. We present a local algorithm (constant-time distributed algorithm) for approximating max-min LPs. The approximation ratio of our algorithm is the best possible for any local algorithm; there is a matching unconditional lower bound.

Formato

10

Identificador

http://hdl.handle.net/10138/27931

Idioma(s)

eng

Relação

SPAA’09 Proceedings of the Twenty-First Annual Symposium on Parallelism in Algorithms and Architectures. August 11–13, 2009. Calgary, Alberta, Canada

Direitos

This is the author’s version of the work. It is posted here by permission of ACM for your personal use. Not for redistribution. The definitive version was published in Proc. 21st ACM Symposium on Parallelism in Algorithms and Architectures. http://doi.acm.org/10.1145/1583991.1584058

Fonte

Floreen , P , Kaasinen , J , Kaski , P & Suomela , J 2009 , ' An optimal local approximation algorithm for max-min linear programs ' in SPAA’09 : Proceedings of the Twenty-First Annual Symposium on Parallelism in Algorithms and Architectures. August 11–13, 2009. Calgary, Alberta, Canada , pp. 260-269 . , 10.1145/1583991.1584058

Palavras-Chave #113 Computer and information sciences
Tipo

A4 Article in conference publication (refereed)

info:eu-repo/semantics/conferencePaper

info:eu-repo/semantics/acceptedVersion