Minimizing the weighted completion time on a single machine with periodic maintenance

Session : BMSS2 / BMSS2 : Ordonnancement, planification et transport
Vendredi 12 février 10:30 - 11:50 Salle : CI2-04
Hanane Krim, Rachid Benmansour et David Duvivier

We consider in this work, a single machine problem with periodic maintenance activities. The objective is to minimize the weighted completion time of the jobs. The preemption of jobs is not allowed. Most of past studies considered such a scheduling problem but not for the same objective. We propose a MIP formulation to solve optimally this problem for small instances, then we present a new property which helps us solving the problem with an efficient and effective heuristic designed to solve the big instances.

Mots clés : Single machine scheduling, Preventive Maintenance, Mathematical model