Résumé en anglais

In this paper, we study an integrated production and outbound distribution scheduling problem with one manufacturer and one customer. The manufacturer has to process a set of jobs 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 decide a feasible integrated production and distribution schedule minimizing the transportation cost subject to the 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 (SP-NSD) problem and Splittable production and delivery (SP-SD) problem. We provide a polynomial-time algorithm that solves two special cases of problems SP-NSD and SP-SD. We also develop a B&B algorithm that solves the NP-hard problem NSP-NSD. The computational results show that the B&B algorithm outperforms an ILP formulation of the problem implemented on a commercial solver.