Two ware-house Fuzzy Inventory model for Deteriorating Items with Ramp Type Demand and Shortages

Abstract

In this paper a fuzzy inventory model for a single deteriorating itemwith two parameter weibulldistribution deterioration rate, ramp type demand and partial backordering at constant rate is developed. In the present market scenario due to inflation an increasing cost ofvarious factors affecting the total worth of inventory cost may increase ordering cycle length. Increase in the cost of components of inventory may not be pre-determined due to uncertainty of the market situation. Therefore, an interval based fuzzy concept has been considered to handle the situation of uncertainty. Orderingcost, holding costs in both ware-houses are assumed to be triangular fuzzy numbers. The objective of this paper is to derive an optimal replenishment policy with defuzzification of fuzzy numbers using signed distance method to minimize the average inventory cost. Further numerical examples are presented to illustrate the model. Initiallya crispmodel has been developed and then corressponding fuzzy model is derived separately and the results of twomodels are compared and analysed.