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Zbl 1009.90047
Gharbi, Anis; Haouari, Mohamed
Minimizing makespan on parallel machines subject to release dates and delivery times.
(English)
[J] J. Sched. 5, No.4, 329-355 (2002). ISSN 1094-6136; ISSN 1099-1425/e

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 2000:
*90B35 Scheduling theory
90C57 Polyhedral combinatorics, branch-and-bound, branch-and-cut
68M20 Performance evaluation of computer systems, etc.

Keywords: scheduling; identical parallel machines; makespan; release dates; delivery times; branch-and-bound

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