Design of a facility layout problem in cellular manufacturing systems with stochastic demands

This paper presents a new mathematical model to solve a facility layout problem in cellular manufacturing systems (CMSs) with stochastic demands. The objective is to minimize the total costs of inter and intra-cell movements in both machine and cell layout problems simultaneously. This model depends on the attitude of the decision maker towards uncertainty in such a way that the optimal layout in CMSs can be changed significantly. A number of instances are optimally solved by the Lingo software to validate and verify the proposed model. Finally, computational results are reported and analyzed.