Consistency of decisions in multi-level production planning: analysis and implementation

This study deals with the aggregation of time in the case of a multiproduct, multistage planning problem. The paper presents the planning problem considered, the two-level decisional structure, and the models associated with each one of these levels. The concept of consistency within the framework of this problem is structured. Sufficient conditions of aggregate consistency are established and the complexity brought in by these additional constraints is assessed. An implementation of the sufficient consistency conditions so as to limit the effects of the complexity induced by the constraints is proposed