Two-stage no-wait hybrid flowshop scheduling with inter-stage flexibility

doi:10.1007/s10878-017-0155-8

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	Two-stage no-wait hybrid flowshop scheduling with inter-stage flexibility
	Zhong, Weiya 1; Shi, Yun 2
刊名	JOURNAL OF COMBINATORIAL OPTIMIZATION
	2018-01
卷号	35 期号:1 页码:108-125
关键词	Scheduling No-wait Hybrid flowshop Inter-stage flexibility Approximation algorithm
ISSN号	1382-6905
DOI	10.1007/s10878-017-0155-8
英文摘要	This paper addresses the performance of scheduling algorithms for a two-stage no-wait hybrid flowshop environment with inter-stage flexibility, where there exist several parallel machines at each stage. Each job, composed of two operations, must be processed from start to completion without any interruption either on or between the two stages. For each job, the total processing time of its two operations is fixed, and the stage-1 operation is divided into two sub-parts: an obligatory part and an optional part (which is to be determined by a solution), with a constraint that no optional part of a job can be processed in parallel with an idleness of any stage-2 machine. The objective is to minimize the makespan. We prove that even for the special case with only one machine at each stage, this problem is strongly NP-hard. For the case with one machine at stage 1 and m machines at stage 2, we propose two polynomial time approximation algorithms with worst case ratio of and , respectively. For the case with m machines at stage 1 and one machine at stage 2, we propose a polynomial time approximation algorithm with worst case ratio of 2. We also prove that all the worst case ratios are tight.
WOS研究方向	Computer Science ; Mathematics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000419682800009
内容类型	期刊论文
源URL	[http://10.2.47.112/handle/2XS4QKH4/804]
专题	上海财经大学
通讯作者	Zhong, Weiya
作者单位	1.Shanghai Univ, Sch Management, Dept Business Adm, Shanghai 200444, Peoples R China; 2.Shanghai Univ Finance & Econ, Sch Informat Management & Engn, Shanghai 200433, Peoples R China
推荐引用方式 GB/T 7714	Zhong, Weiya,Shi, Yun. Two-stage no-wait hybrid flowshop scheduling with inter-stage flexibility[J]. JOURNAL OF COMBINATORIAL OPTIMIZATION,2018,35(1):108-125.
APA	Zhong, Weiya,&Shi, Yun.(2018).Two-stage no-wait hybrid flowshop scheduling with inter-stage flexibility.JOURNAL OF COMBINATORIAL OPTIMIZATION,35(1),108-125.
MLA	Zhong, Weiya,et al."Two-stage no-wait hybrid flowshop scheduling with inter-stage flexibility".JOURNAL OF COMBINATORIAL OPTIMIZATION 35.1(2018):108-125.