Dynamic Programming Model for Cellular Manufacturing Layout under Demand Uncertainty

The cellular manufacturing layout as the production management effects to increase the performance of the systems. The research area is to study the machines and parts clusters to allocate to layout locations under uncertainty. The layouts need to design to capture the realistic probability of demands. This paper, we addresses the discrete random probability of demands in cellular manufacturing system under multiple routes of parts. The objective is to minimize the expected total moving times of the material movement flow for the production lines. We formulate the dynamic programming model as a finite horizons. We investigate the model using the random data. Numerical examples are solved and presents the results of the sensitivity analysis. Finally, the model considers the demand fluctuation makes decision of the machine layout flexibility for high efficiency of the layout optimization problem.