Approximation algorithms for the covering-type k-violation linear program

Yotaro Takazawa, Shinji Mizuno, Tomonari Kitahara

研究成果: ジャーナルへの寄稿記事

抄録

We study the covering-type k-violation linear program where at most k of the constraints can be violated. This problem is formulated as a mixed integer program and known to be strongly NP-hard. In this paper, we present a simple (k+ 1) -approximation algorithm using a natural LP relaxation. We also show that the integrality gap of the LP relaxation is k+ 1. This implies we can not get better approximation algorithms when we use the LP-relaxation as a lower bound of the optimal value.

元の言語英語
ページ(範囲)1515-1521
ページ数7
ジャーナルOptimization Letters
13
発行部数7
DOI
出版物ステータス出版済み - 10 1 2019

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LP Relaxation
Linear Program
Approximation Algorithms
Covering
Mixed Integer Program
Integrality
NP-complete problem
Lower bound
Imply

All Science Journal Classification (ASJC) codes

  • Control and Optimization

これを引用

Approximation algorithms for the covering-type k-violation linear program. / Takazawa, Yotaro; Mizuno, Shinji; Kitahara, Tomonari.

:: Optimization Letters, 巻 13, 番号 7, 01.10.2019, p. 1515-1521.

研究成果: ジャーナルへの寄稿記事

Takazawa, Yotaro ; Mizuno, Shinji ; Kitahara, Tomonari. / Approximation algorithms for the covering-type k-violation linear program. :: Optimization Letters. 2019 ; 巻 13, 番号 7. pp. 1515-1521.
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