2018
DOI: 10.1080/00207543.2018.1501166
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Mathematical modelling and optimisation of energy-conscious hybrid flow shop scheduling problem with unrelated parallel machines

Abstract: This paper investigates an energy-conscious hybrid flow shop scheduling problem with unrelated parallel machines (HFSP-UPM) with the energy-saving strategy of turning off and on. We first analyse the energy consumption of HFSP-UPM and formulate five mixed integer linear programming (MILP) models based on two different modelling ideas namely idle time and idle energy. All the models are compared both in size and computational complexities. The results show that MILP models based on different modelling ideas var… Show more

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Cited by 117 publications
(53 citation statements)
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“…In the HFSP, the m jobs are processed through n stages ( 1 ≥ n ) and there is at least one stage that has more than one parallel machine [49]. The minimum makespan is chosen as the optimization objective of the HFSP.…”
Section: Hybrid Flow Shop Scheduling Problemsmentioning
confidence: 99%
“…In the HFSP, the m jobs are processed through n stages ( 1 ≥ n ) and there is at least one stage that has more than one parallel machine [49]. The minimum makespan is chosen as the optimization objective of the HFSP.…”
Section: Hybrid Flow Shop Scheduling Problemsmentioning
confidence: 99%
“…e biobjective function minimizes the makespan (C max ) and the total energy consumption (TEC) which mainly includes the energy consumption of machine tools and the common energy consumption. Energy consumption of machine tools can further be divided into processing energy consumption (PEC) and idle energy consumption (IEC) [20][21][22][23][24] which is computed as follows:…”
Section: Problem Description and Modellingmentioning
confidence: 99%
“…Dai et al [38] adopted the same technique for both makespan and total energy consumption reduction using a genetic-SA algorithm in flexible flow shop scheduling optimization. Recently, Meng et al [39] developed some novel MILP models for the energy-conscious hybrid flow shop scheduling problem with unrelated parallel machines; again, the strategy of machines turning off and on has been adopted in their model. Due to the considerable amount of additional energy in restarting machines as well as the damage to the machine tools caused by frequent machine switch "ons" and "offs", Zhang et al [40] adopted the machine speed scaling-based paradigm [41] to reduce energy consumption in a job shop.…”
Section: Literature Reviewmentioning
confidence: 99%