Planification des activités de la production des systèmes de production avec demandes aléatoires

Abstract

This work deals with the strategy of the production planning of manufacturing systems subject to random breakdown and repair during their life. These random perturbations are caused the failure and reduce the ability of systems to ensure their function. Taking into account of these malfunction of equipment and random demand, it would be useful to develop an optimal production policy while satisfying customers. In the scientific literature, studies that deal with the production planning, random demand and the methodology approach adopted are almost nonexistent. With the lifting of trade barriers, companies must adapt to the world market while controlling production costs and customer satisfaction. In this paper, at the First, we consider a manufacturing system consisting of one machine producing one type of part, and then we develop our study for two machines in parallel producing one type of part. Theses machines are subject to random breakdowns and repairs. The production planning problem of our manufacturing system is formulated as a stochastic optimization problem. The variable is the production rate. The system modeled by homogeneous Markov chain (constant transition rate). We used the numerical method based on Kushner's approach to solve the Hamilton Jacobi Bellman equations in order to obtain the policy structure. This structure is called the Hedging point Policy. The structure of the hedging point policy is then parameterized by factors representing the thresholds of involved products. With such a policy, simulation experiments are combined to experimental design and response surface methodology to estimed the optimal control policy. A numerical example and sensitivity analysis are presented to illustrate the usefulness of the proposed approach.

Date	9 Jan 2012
Original language	French
Awarding Institution	École de technologie supérieure
Supervisor	Jean-Pierre Kenné (Supervisor)