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

Liang-Liang Fu (), Mohamed Ali Aloulou and Christian Artigues
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Liang-Liang Fu: PSL, Université Paris-Dauphine
Mohamed Ali Aloulou: PSL, Université Paris-Dauphine
Christian Artigues: Université de Toulouse, CNRS

Journal of Scheduling, 2018, vol. 21, issue 4, No 4, 443-460

Abstract: 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.

Keywords: Single machine scheduling; Production and delivery; Release dates; Deadlines; Transportation costs; Branch-and-bound (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (6)

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DOI: 10.1007/s10951-017-0542-0

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