Scheduling linear deteriorating jobs with rejection on a single machine

被引：68

作者：

Cheng, Yushao ^{[1
]}

Sun, Shijie ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH | 2009年 / 194卷 / 01期

关键词：

Scheduling; Deteriorating jobs; Rejection; Dynamic programming; DEPENDENT PROCESSING TIMES; TOTAL COMPLETION-TIME; FLOW-SHOP;

D O I：

10.1016/j.ejor.2007.11.047

中图分类号：

C93 [管理学];

学科分类号：

12 ; 1201 ; 1202 ; 120202 ;

摘要：

We consider several single machine scheduling problems in which the processing time of a job is a linear function of its starting time and jobs can be rejected by paying penalties. The objectives are to minimize the makespan, the total weighted completion time and the maximum lateness/tardiness plus the total penalty of the rejected jobs. We show that these problems are NP-hard, and design algorithms based on dynamic programming (including pseudo-polynomial time optimal algorithms and fully polynomial time approximation schemes) to solve them. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：18 / 27

页数：10

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