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Integrated production and outbound distribution scheduling problems with job release dates and deadlines

Author

Listed:
  • Liang-Liang Fu

    (PSL, Université Paris-Dauphine)

  • Mohamed Ali Aloulou

    (PSL, Université Paris-Dauphine)

  • Christian Artigues

    (Université de Toulouse, CNRS)

Abstract

In this paper, we study an integrated production and outbound distribution scheduling model with one manufacturer and one customer. The manufacturer has to process a set of jobs on a single machine and deliver them in batches to the customer. Each job has a release date and a delivery deadline. The objective of the problem is to issue a feasible integrated production and distribution schedule minimizing the transportation cost subject to the production release dates and delivery deadline constraints. We consider three problems with different ways how a job can be produced and delivered: non-splittable production and delivery (NSP–NSD) problem, splittable production and non-splittable delivery problem and splittable production and delivery problem. We provide polynomial-time algorithms that solve special cases of the problem. One of these algorithms allows us to compute a lower bound for the NP-hard problem NSP–NSD, which we use in a branch-and-bound (B&B) algorithm to solve problem NSP–NSD. The computational results show that the B&B algorithm outperforms a MILP formulation of the problem implemented on a commercial solver.

Suggested Citation

  • Liang-Liang Fu & Mohamed Ali Aloulou & Christian Artigues, 2018. "Integrated production and outbound distribution scheduling problems with job release dates and deadlines," Journal of Scheduling, Springer, vol. 21(4), pages 443-460, August.
    • Handle: RePEc:spr:jsched:v:21:y:2018:i:4:d:10.1007_s10951-017-0542-0
    DOI: 10.1007/s10951-017-0542-0
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    6. Morais, Rafael & Bulhões, Teobaldo & Subramanian, Anand, 2024. "Exact and heuristic algorithms for minimizing the makespan on a single machine scheduling problem with sequence-dependent setup times and release dates," European Journal of Operational Research, Elsevier, vol. 315(2), pages 442-453.

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