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 …

Cell formation and layout design are two important steps for the implementation of the
production systems. The existing models majorly have focused on the cell formation issue
and the layout design of machines, but have paid little attention to the placement of cells in
dynamic environment. In addition, in most of the available papers, binary variables have
been used for cell formation, and other information such as volume of production, operation
sequences and production costs have played unimportant roles in the structure of the …