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Minimizing makespan in an ordered flow shop with machine-dependent processing times

Byung-Cheon Choi (), Joseph Y.-T. Leung () and Michael L. Pinedo ()
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Byung-Cheon Choi: Chungnam National University
Joseph Y.-T. Leung: New Jersey Institute of Technology
Michael L. Pinedo: New York University

Journal of Combinatorial Optimization, 2011, vol. 22, issue 4, No 22, 797-818

Abstract: Abstract We consider a generalization of the proportionate flow shop problem with the makespan objective. Each job has a processing requirement and each machine has a characteristic value. In our case, we assume that the time a job occupies a machine is equal to the processing requirement of the job plus a setup time that is equal to the characteristic value of that machine. In this paper, we consider permutation schedules and show that the problem is solvable in polynomial time when the number of machines is fixed.

Keywords: Proportionate flow shop; Machine-dependent processing times; Makespan; Computational complexity (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10878-010-9330-x

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