×

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.

MSC:

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
PDF BibTeX XML Cite
Full Text: DOI

References:

[17] Minimizing the makespan in a multiprocessor flow shop. Master’s Thesis, Eindhoven University of Technology, The Netherlands, 1994.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.