Multioptimization in a Cellular Manufacturing System Having Stochastic Parameters Considering Pricing

Abstract

AbstractA mathematical model is developed to formulate a cellular manufacturing system with uncertain parameters. In this work, the processing times and demands are stochastic and estimated via expected value and standard deviation after sampling process. The objectives of the proposed mathematical model are to configure machines’ layout in cells so that the inter-cell and intra-cell movements are minimized, the bottlenecks are breakthrough and the profit is increased. Finally, the profit is maximized due to decreasing production cost. The applicability of the proposed mathematical program is illustrated using numerical examples. With respect to the large amount of computational efforts in larger sized problem, a heuristic methodology is developed as solution approach. The properties of the proposed heuristic method are the novel search algorithm and the allocation methodology.