FUZZY GOAL PROGRAMMING APPROACH TO SOLVE THE EQUIPMENT-PURCHASING PROBLEM OF AN FMC

This paper focuses on the machine purchasing decision for a Flexible Manufacturing Cell (FMC) that many managers pay more attention for increasing the competitiveness of the company. The procedure of machine configuration always involves a multiple objectives problem that relates to many quantitative and qualitative factors. In this paper, we present a Fuzzy Goal Programming (FGP) model to meet the four conflict and fuzzy goals: total number of machines, total floor space occupied by machines, total purchasing cost and total output of a specific part family. A mixed integer programming model is built after the nonlinear constraints are transformed. Besides, three suggestions: weights, threshold value and comparative relationship on the achieved level are introduced when the importance and priority structure of goals are considered. Hence with those attributes of machines and membership function of goals, the decision makers can apply this model to obtain the purchasing policy and the achieved level of each individual goal. Finally, an illustrated example is provided to demonstrate the proposed model.

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