Lot sizing for an imperfect production system with the effect of learning phenomena in a risky decision making environment

This paper incorporates the impact of learning function and uncertain data concurrently on an inventory model which manufacture imperfect quality item in a planning horizon that is ignored in inventory control and production literature. Uncertainty is treated as fuzzy number and an integration of fuzzy arithmetic operation, deffuzification method and Kuhn Tucker optimization method are utilized for attaining the optimal lot size. At the end of the paper, a numerical example is represented and the behavior of the model is surveyed for defferent learning function at different fuzziness level