The track of developing Economic Order Quantity (EOQ) models with uncertainties described as fuzzy numbers has been very\r\nlucrative. In this paper, a fuzzy Economic Production Quantity (EPQ) model is developed to address a specific problem in a\r\ntheoretical setting. Not only is the production time finite, but also backorders are allowed. The uncertainties, in the industrial\r\ncontext, come from the fact that the production availability is uncertain as well as the demand. These uncertainties will be handled\r\nwith fuzzy numbers and the analytical solution to the optimization problem will be obtained. A theoretical example from the\r\nprocess industry is also given to illustrate the new model.
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