• SOLUTION OF MULTI-OBJECTIVE FUZZY INVENTORY MODEL WITH LIMITED STORAGE SPACE AND INVESTMENT THROUGH KARUSH KUHN TUCKER CONDITIONS

P. Vasanthi*

Abstract


A multi item multi objective model with shortages and demand dependent unit cost has been formulated along with three constraints. This paper presents a mathematical model of inventory control problem for determining the minimum total cost of multi-item multi- objective fuzzy inventory model. The three constraints  are warehouse space constraints, investment amount constraint  and the percentage of utilization of volume of the warehouse space. Warehouse maintenance is one of the essential parts of service operation. In this model, the warehouse space in the selling store is considered in volume. A demand dependent unit cost has been considered and this unit cost is taken in fuzzy environment. This model is solved by Kuhn-Tucker conditions method. The model is illustrated with numerical example.


Keywords


Inventory, Membership Function, Karush -Kuhn-Tucker Condition, volume of the warehouse.

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