New effective MILP models for PFSPs arising from real applications

Tamás Hajba () and Zoltán Horváth ()

Central European Journal of Operations Research, 2013, vol. 21, issue 4, 729-744

Abstract: Permutation flow shop problems (PFSPs) with makespan minimization that model production lines working in industry often have some special features: they are typically large-scale and the jobs can be sorted into types so that jobs of the same type have equal processing time values at each machine. We define the related R-PFSP, the Permutation with Repetition Flow Shop Problem, which is of less complexity if the number of types is bounded. Moreover, a subproblem set of R-PFSPs, the RL-PFSP is considered too, where only those permutations are in the design space in which subsequent tuples of a certain size contain jobs of the same type. We construct adequate new MILP models for R-PFSPs and RL-PFSPs and investigate their effectiveness experimentally. We demonstrate that via our new MILP models significantly larger problems can be solved than via the classical MILP models. Copyright Springer-Verlag 2013

Keywords: Flow shop scheduling; Minimizing makespan; Mixed integer programming formulations; Computational comparisons; 90C11; 90C90 (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10100-012-0263-6

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