Approximation algorithms for single machine scheduling with one unavailability period

被引：16

作者：

Kacem, Imed ^{[1
]}

Haouari, Mohamed ^{[2
]}

机构：

[1] Univ Technol Troyes, Charles Delaunay Inst, New York, NY 10010 USA

[2] Ozyegin Univ, Fac Econ & Adm Sci, Istanbul, Turkey

来源：

4OR-A QUARTERLY JOURNAL OF OPERATIONS RESEARCH | 2009年 / 7卷 / 01期

关键词：

Scheduling; Single machine; Approximation; Unavailability constraint; AVAILABILITY; SCHEME;

D O I：

10.1007/s10288-008-0076-6

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we investigate the single machine scheduling problem with release dates and tails and a planned unavailability time period. We show that the problem admits a fully polynomial-time approximation scheme when the tails are equal. We derive an approximation algorithm for the general case and we show that the worst-case bound of the sequence yielded by Schrage's algorithm is equal to 2 and that this bound is tight. Some consequences of this result are also presented.

引用

页码：79 / 92

页数：14

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