4.5 Article

A hybrid genetic algorithm for non-permutation flow shop scheduling problems with unavailability constraints

Journal

Publisher

TAYLOR & FRANCIS LTD
DOI: 10.1080/0951192X.2015.1130247

Keywords

scheduling; flow shop; makespan; unavailability constraints; hybrid incremental genetic algorithm

Funding

  1. National Natural Science Foundation of China [71171130, 61273035, 61473211, 71502129]

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This article deals with the non-permutation flow shop scheduling problems with non-availability intervals. Specifically, two kinds of unavailability constraints are investigated and the jobs are non-resumable in both cases. In the first case, the nonavailability intervals are periodically fixed and known in advance. In the second case, the intervals are flexible and the machines' continuous working time cannot exceed a maximum allowed time. Two mixed binary integer programming models are provided for deriving the optimal schedules, respectively. The problems of minimising makespan in such flow shops are proved Non-deterministic Polynomial-time hard in strong sense. Then a hybrid incremental genetic algorithm (HIGA) that combines an incremental evolution strategy framework, a local refinement and a population diversity supervision scheme is proposed to solve the large-sized problems efficiently. The numerical experiments under different problem parameters' settings indicate that the HIGA can achieve quite satisfactory performance compared with genetic algorithm and a constructive heuristic based on Nawaz, Enscore, Ham.

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