Cut generation for an integrated employee timetabling and production scheduling problem

Olivier Guyon (1, 2, 3) , Pierre Lemaire (4) , Eric Pinson (1, 3) , David Rivreau (1, 3, 5)

1 MAI - Mathématiques Appliquées et Informatique
2 IRCCyN - Institut de Recherche en Communications et en Cybernétique de Nantes
3 LISA - Laboratoire d'Ingéniérie des Systèmes Automatisés
4 G-SCOP_ROSP - Recherche Opérationnelle pour les Systèmes de Production
5 UCO - Université Catholique de l'Ouest

This paper investigates the integration of the employee timetabling and production scheduling problems. At the first level, we manage a classical employee timetabling problem. At the second level, we aim at supplying a feasible production schedule for a set of interruptible tasks with qualification requirements and time-windows. Instead of hierarchically solving these two problems as in the current practice, we try here to integrate them and propose two exact methods to solve the resulting problem. The former is based on a Benders decomposition while the latter relies on a specific decomposition and a cut generation process. The relevance of these different approaches is discussed here through experimental results.

Mots clés: Energetic reasoning; Benders decomposition; production scheduling problem; Cut generation; Employee timetabling problem

Domaines: Recherche opérationnelle [math.OC]

Olivier Guyon, Pierre Lemaire, Eric Pinson, David Rivreau. Cut generation for an integrated employee timetabling and production scheduling problem. European Journal of Operational Research, 2010, 201 (2), pp.557-567. ⟨10.1016/j.ejor.2009.03.013⟩. ⟨hal-00377197⟩