Multi Item Fuzzy Inventory Model with Storage Space, Production Cost and Lot Size Constraints -- A Karush Kuhn Tucker Conditions Approach

Abstract

In this paper a multi-item inventory model with storage space , number of orders and production cost as constraints has been formulated. A demand dependent unit cost is assumed to minimize the total annual cost and solved using Karush-Kuhn-Tucker condition. In most of the real world situations, the cost parameters, the objective functions and constraints of the decision makers are imprecise in nature. Here the cost parameter is imposed in fuzzy environment .The model is illustrated with numerical example for single item