A three-machine permutation flow-shop problem with minimum makespan on the second machine

S Yanai and T Fujie ()
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S Yanai: Kobe University of Commerce
T Fujie: University of Hyogo

Journal of the Operational Research Society, 2006, vol. 57, issue 4, 460-468

Abstract: Abstract In this paper, we consider a three-machine permutation flow-shop scheduling problem where the criterion is to minimize the total completion time without idle times subject to the minimum makespan on the second machine. This problem is NP-hard while each of the objective functions alone can be optimized in polynomial time. We develop a branch-and-bound algorithm with effective branching rules and dominance properties which help to reduce the search space. By our computational experiments, the branch-and-bound algorithm is comparable to a recent mixed integer programming solver and, for some kinds of problem instances, the branch-and-bound algorithm outperforms the solver. On the other hand, the computational result would indicate that the hierarchical scheduling problems are essentially hard in both theoretical and computational points of view.

Keywords: multicriteria scheduling; hierarchical criteria; flow-shop scheduling; branch-and-bound algorithm (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1057/palgrave.jors.2602014

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