Scheduling resumable simple linear deteriorating jobs on a single machine with an availability constraint to minimize makespan

被引：16
|
作者：
Ji, Min [1 ,2 ]
Cheng, T. C. E. [1 ]
机构：
[1] Hong Kong Polytech Univ, Dept Logist & Maritime Studies, Kowloon, Hong Kong, Peoples R China
[2] Zhejiang Gongshang Univ, Sch Comp Sci & Informat Engn, Hangzhou 310018, Peoples R China
来源：
COMPUTERS & INDUSTRIAL ENGINEERING | 2010年 / 59卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Scheduling; Availability constraint; 0-1 integer programming; Computational complexity; FPTAS; DEPENDENT PROCESSING TIMES;
D O I：
10.1016/j.cie.2010.08.005
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We consider a single-machine scheduling problem in which the processing time of each job is a simple linear deteriorating function of its waiting time. The machine is subject to an availability constraint. Jobs interrupted by machine unavailability can resume their processing. The objective is to minimize the makespan. We first show that the problem can be solved optimally by 0-1 integer programming. We then prove that the problem is NP-hard in the ordinary sense and there exists a fully polynomial time approximation scheme for it. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：794 / 798
页数：5
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