On the equivalence between the primal-dual schema and the local-ratio technique

Reuven Bar-Yehuda, Dror Rawitz

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We discuss two approximation approaches, the primal-dual schema and the local-ratio technique.W e present two relatively simple frameworks, one for each approach, which extend known frameworks for covering problems.W e show that the two are equivalent, and conclude that the integrality gap of an integer program serves as a bound to the approximation ratio when working with the local-ratio technique.

Original languageEnglish
Title of host publicationApproximation, Randomization, and Combinatorial Optimization
Subtitle of host publicationAlgorithms and Techniques - 4th International Workshop on Approximation, Algorithms for Combinatorial Optimization Problems, APPROX 2001 and 5th International Workshop on Randomization and Approximation Techniques in Computer Science, RANDOM 2001, Proceedings
EditorsLuca Trevisan, Klaus Jansen, Michel Goemans, Jose D. P. Rolim
PublisherSpringer Verlag
Pages24-36
Number of pages13
ISBN (Electronic)3540424709
StatePublished - 2015
Externally publishedYes
Event4th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2001 and 5th International Workshop on Randomization and Approximation Techniques in Computer Science, RANDOM 2001 - Berkeley, United States
Duration: 18 Aug 200120 Aug 2001

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume2129
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference4th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2001 and 5th International Workshop on Randomization and Approximation Techniques in Computer Science, RANDOM 2001
Country/TerritoryUnited States
CityBerkeley
Period18/08/0120/08/01

Bibliographical note

Publisher Copyright:
© Springer-Verlag Berlin Heidelberg 2001

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