The three-machine proportionate flow shop problem with unequal machine speeds
Hou, SX; Hoogeveen, H
2003
Source PublicationOPERATIONS RESEARCH LETTERS
ISSN0167-6377
Volume31Issue:3Pages:7,225-231
AbstractIn flow shop scheduling it is usually assumed that the processing times of the operations belonging to the same job are unrelated. But when a job corresponds to producing a certain quantity of some good. then it is likely that the processing times are related to this quantity, and hence are constant except for some factor that depends on the speed of the machine. In this paper, we consider this special case of the flow shop problem. which we call the proportionate flow shop problem with unequal machine speeds. This is a special case of the flow shop problem with ordered processing times that has been studied by Smith, Panwalkar, and Dudek. Their results imply that makespan minimization is easy if the first or last machine is slowest; if the second machine is slowest, then there exists an optimum schedule that is V-shaped. We provide an algorithm that solves this problem (and the more general problem with ordered processing times) to optimality in pseudopolynomial time, and we show that this is best possible by establishing, NP-hardness in the ordinary sense. (C) 2003 Published by Elsevier Science B.V.
KeywordProportionate Flow Shop Ordered Processing Times Machine Speeds V-shaped Makespan Dynamic Programmmg Nu Rho-hardness
Subject AreaOperations Research & Management Science
Indexed BySCI
Language英语
WOS IDWOS:000182093800009
Citation statistics
Cited Times:21[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.casisd.cn/handle/190111/5266
Collection中国科学院科技政策与管理科学研究所(1985年6月-2015年12月)
Recommended Citation
GB/T 7714
Hou, SX,Hoogeveen, H. The three-machine proportionate flow shop problem with unequal machine speeds[J]. OPERATIONS RESEARCH LETTERS,2003,31(3):7,225-231.
APA Hou, SX,&Hoogeveen, H.(2003).The three-machine proportionate flow shop problem with unequal machine speeds.OPERATIONS RESEARCH LETTERS,31(3),7,225-231.
MLA Hou, SX,et al."The three-machine proportionate flow shop problem with unequal machine speeds".OPERATIONS RESEARCH LETTERS 31.3(2003):7,225-231.
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