Abstract
In this paper, a production inventory model for non-deteriorating items with a constant demand rate and completely backlogged in a fuzzy environment is presented. The production rate of the model is assumed to be a constant and to be proportional to demand rate. Each cycle of the developed model is considered in four different types of situations. The optimal average fuzzy total inventory cost of a cycle and optimal fuzzy time for each situation are obtained. Numerical example is presented to illustrate the proposed model.
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