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**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 |

### Keywords:

scheduling; identical parallel machines; makespan; release dates; delivery times; branch-and-bound
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\textit{A. Gharbi} and \textit{M. Haouari}, J. Sched. 5, No. 4, 329--355 (2002; Zbl 1009.90047)

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### References:

[17] | Minimizing the makespan in a multiprocessor flow shop. Master’s Thesis, Eindhoven University of Technology, The Netherlands, 1994. |

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