An approximation algorithm for proportionate scheduling in the two-stage hybrid flow shop

被引：3
|
作者：
Dong, Jianming [1 ]
Jiang, Yiwei [1 ]
Zhang, An [2 ]
Hu, Jueliang [1 ]
Luo, Hui [1 ]
机构：
[1] Zhejiang Sci Tech Univ, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China
[2] Hangzhou Dianzi Univ, Inst Operat Res & Cybernet, Hangzhou 310018, Zhejiang, Peoples R China
来源：
INFORMATION PROCESSING LETTERS | 2015年 / 115卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Scheduling; Two-stage proportionate flow shop; Approximation algorithm; Worst-case analysis; MULTIPROCESSOR OPEN; MINIMIZE; FLOWSHOPS; SYSTEMS;
D O I：
10.1016/j.ipl.2014.11.014
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In the hybrid flow shop, jobs are subjected to process through stages in series as in the classical flow shop, while each stage contains one or more identical machines. This paper mainly studies the scheduling problem in the two-stage hybrid flow shop, namely the proportionate scheduling. In such problem, it is assumed that each job has the same processing time in different stages. The objective of minimizing the makespan is considered. If there are two machines in the first stage and m machines in the second, then an approximation algorithm with worst case ratio no more than 3/2 is provided. If each stage consists of only two machines, we show that the tight bound of our algorithm can be reduced to 4/3. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码：475 / 480
页数：6
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