A New Method for Solving Generalized Trapezoidal Fuzzy Inventory Model with Shortage Under Space Constraint

Abstract

In this paper, an EOQ(economic order quantity) model with shortage and space constraint has been analyzed in a fuzzy environment. The costs namely holding cost, shortage cost, setup cost, the ware house capacity and the objective are usually deterministic in nature. In this paper these have been considered to be generalized trapezoidal fuzzy numbers which are more realistic in nature. The ranking method proposed by Amit Kumar [1,2] has been used for ranking the fuzzy numbers. The fuzzy inventory problem has been transformed in to crisp inventory problem. For this EOQ and minimum total cost have been calculated. This method has been illustrated by means of numerical example.