Minimizing makespan on parallel machines subject to release dates and delivery times. (English) Zbl 1009.90047

Summary: We consider the problem of minimizing the makespan on identical parallel machines subject to release dates and delivery times. The objective of this paper is to develop exact branch-and-bound algorithms to solve this strongly NP-hard problem. A preprocessing algorithm is devised to speed up the convergence of the proposed algorithms, and a new tight bounding scheme is introduced. The search tree is also reduced using a polynomial selection algorithm. Extensive computational experiments show that instances with up to 300 jobs can be solved exactly in a moderate CPU time.


90B35 Deterministic scheduling theory in operations research
90C57 Polyhedral combinatorics, branch-and-bound, branch-and-cut
68M20 Performance evaluation, queueing, and scheduling in the context of computer systems
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[17] Minimizing the makespan in a multiprocessor flow shop. Master’s Thesis, Eindhoven University of Technology, The Netherlands, 1994.
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