Mathematical model for scheduling food production in hospital catering

Fatima Abderrabi (1, 2) , Matthieu Godichaud (1) , Alice Yalaoui (1) , Farouk Yalaoui (1) , Lionel Amodeo (1) , A Qerimi (2) , E Thivet (3)

1 LOSI - Laboratoire d'Optimisation des Systèmes Industriels
2 Centre hospitalier de Troyes
3 Hôpital universitaire Robert Debré [Reims]

The problem addressed in this paper was motivated by a real optimization problem of supply chain of the hospital center of Troyes (HCT). The HCT is currently seeking to review and improve its logistics processes. The implementation of techniques and methods of operational research must provide solutions to improve the efficiency of logistics activities. In this work, the studied problem focuses on the catering component of the hospital logistics. A novel mathematical model for the production scheduling of multi-products and multi-stages food processes in hospital catering is proposed. This mathematical model has been implemented in commercial solver CPLEX and it has been tested on real instances of HCT and from the literature. The implementation results of the mathematical model proposed have proved its efficiency for the scheduling of the food production process.

Mots clés: scheduling; flexible job shop; sequence-dependent setup time; job-splitting; hospital catering scheduling; hospital catering

Domaines: Recherche opérationnelle [math.OC]

Fatima Abderrabi, Matthieu Godichaud, Alice Yalaoui, Farouk Yalaoui, Lionel Amodeo, et al.. Mathematical model for scheduling food production in hospital catering. IFAC-PapersOnLine, 2020, 53 (2), pp.10670 - 10675. ⟨10.1016/j.ifacol.2020.12.2837⟩. ⟨hal-03200985⟩