2014
DOI: 10.1080/00207543.2014.949363
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A branch-and-bound algorithm for two-stage no-wait hybrid flow-shop scheduling

Abstract: This research investigates a two-stage no-wait hybrid flow-shop scheduling problem in which the first stage contains a single machine, and the second stage contains several identical parallel machines. The objective is to minimise the makespan. For this problem, existing literature emphasises on heuristics or optimal solutions for special cases, whereas this paper proposes a branch-and-bound algorithm. Several lower bounds for optimal and partial schedules are derived. Also, three dominance rules are deduced, … Show more

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Cited by 76 publications
(22 citation statements)
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“…Toktaş, Azizoğlu, and Köksalan 2004;Lin and Wu 2006;Wang, Liu, and Chu 2015). For instance, Lemesre, Dhaenens and Talbi (2007) developed an exact method based on the branch and bound approach to solve a permutation flow shop, which is in fact a parallel model to improve search speed.…”
Section: Literature Reviewmentioning
confidence: 99%
“…Toktaş, Azizoğlu, and Köksalan 2004;Lin and Wu 2006;Wang, Liu, and Chu 2015). For instance, Lemesre, Dhaenens and Talbi (2007) developed an exact method based on the branch and bound approach to solve a permutation flow shop, which is in fact a parallel model to improve search speed.…”
Section: Literature Reviewmentioning
confidence: 99%
“…Exact algorithms mainly include integer programming, the branch and bound method, and other methods. Wang et al [16] used the branch and bound algorithm to study a class of two-stage HFSPs below 20 jobs. However, the applicability of the method is limited as the number of jobs increases.…”
mentioning
confidence: 99%
“…(1) Wait between two consecutive operations of a job: if the no-wait constraint occurs, two successive operations of a job must be processed without any interruption and thus no-wait models are established in different environments: flow shop [55][56][57][58][59][60], hybrid/flexible workshop [61][62][63][64][65], job shop ( [47,[66][67][68]), and open shop [47,54,69].…”
Section: Quantitative Illustrationmentioning
confidence: 99%