An inventory model of time and reliability dependent demand with deterioration and partial backordering under fuzziness

Abstract

This paper present a deterministic inventory model for durable product where both demand and deterioration are time and reliability dependent. The paper develop a cost effective ordering inventory model where the increase in reliability of the item leads to increase in demand and decreases the rate of deterioration of the item. In this paper we have considered an inventory model for deteriorating items under fuzziness. The shortages are allowed in this economic order quantity model which are partially lost in sales and partially backlogged. To evaluate the optimum solution, the inventory model is solved under fuzzy environment. While incorporating symmetric triangular fuzzy number we use total λ-integral value to defuzzify the solution. Numerical example along with graphical representation are provided to illustrate the proposed model and the significant features of the results are discussed. Finally, the effects of different parameters present through sensitivity analysis on the numerical example.