A mathematical programming model with present value method for optimum design of flexible cellular manufacturing systems

Abstract

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In this article, an integer mathematical programming model for the design problem of flexible cellular manufacturing systems is proposed. The objective function of the developed mathematical programming model is to minimize the total design cost, including the costs of operating parts on machines, using tools on machines, and assigning employees to cells; this model also incorporates the present value method. Thus, the operational costs that occur during a certain period are also considered. LINGO 19.0 optimization software is used for the optimum solution of the integer mathematical programming model with the present value method, whose objective function is to minimize the total design cost. In this article, the application of the model is illustrated and the related analysis is shown using a developed example problem. In addition, by ensuring the optimum design of flexible cellular manufacturing systems, the results indicating which alternative routes are used for processing parts, which machines are located in which cells, and which employees are assigned to which cells are obtained. Finally, a sensitivity analysis is presented to demonstrate the importance of alternative routes of parts.