Optimal control of a hybrid production/remanufacturing system using one shared resource

Lâm Laurent Lim (1) , Simme Douwe Flapper (2) , Jean-Philippe Gayon (3)

1 G-SCOP_ROSP - Recherche Opérationnelle pour les Systèmes de Production
2 TU/e - Eindhoven University of Technology [Eindhoven]
3 G-SCOP_GCSP - Gestion et Conduite des Systèmes de Production

We consider a single-product production-inventory system with independent product returns. Returned items require remanufacturing operations before being sellable again. Production and remanufacturing operations are performed by a single shared resource. Switching times and costs are neglected. Customer demand can be fulfilled without distinction by either newly produced or remanufactured products. Two inventories are considered: the remanufacturable inventory composed of product returns, and the serviceable inventory composed of new and remanufactured products. We use a continuous-time model with Markovian assumptions: demands and returns follow independent Poisson processes, production and remanufacturing times are exponentially distributed. We further assume linear holding and backlogging costs. We want to find the optimal policy that minimizes costs.

Mots clés: remanufacturing; shared server; optimal policy; heuristics; Markov processes; quasi-birth-death processes

Domaines: Recherche opérationnelle [math.OC]

Lâm Laurent Lim, Simme Douwe Flapper, Jean-Philippe Gayon. Optimal control of a hybrid production/remanufacturing system using one shared resource. ROADEF 2011, Mar 2011, Saint-Etienne, France. ⟨hal-00821785⟩