Multi-item inventory model for deteriorating items with stock dependent demand under two-warehouse system is developed in fuzzy environment (purchase cost, investment amount and storehouse capacity are imprecise ) under inflation and time value of money. For display and storage, the retailers hire one warehouse of finite capacity at market place, treated as their own warehouse (OW), and another warehouse of imprecise capacity which may be required at some place distant from the market, treated as a rented warehouse (RW). | Yugoslav Journal of Operations Research 22 (2012), Number 1, 51-78 DOI: INVENTORY MODEL OF DETERIORATING ITEMS WITH TWO-WAREHOUSE AND STOCK DEPENDENT DEMAND USING GENETIC ALGORITHM IN FUZZY ENVIRONMENT D. YADAV Department of Mathematics, Keshav Mahavidyalaya, Delhi-34, India dharmendrayadav3580@ . SINGH Department of Mathematics, (.) College, Meerut () India shivrajpundir@ R. KUMARI Department of Mathematics, Meerut College, Meerut () India kumarn_inde@ Received: February 2010 / Accepted: February 2012 Abstract: Multi-item inventory model for deteriorating items with stock dependent demand under two-warehouse system is developed in fuzzy environment (purchase cost, investment amount and storehouse capacity are imprecise ) under inflation and time value of money. For display and storage, the retailers hire one warehouse of finite capacity at market place, treated as their own warehouse (OW), and another warehouse of imprecise capacity which may be required at some place distant from the market, treated as a rented warehouse (RW). Joint replenishment and simultaneous transfer of items from one warehouse to another is proposed using basic period (BP) policy. As some parameters are fuzzy in nature, objective (average profit) functions as well as some constraints are imprecise in nature, too. The model is formulated so to optimize the possibility/necessity measure of the fuzzy goal of the objective functions, and the constraints satisfy some pre-defined necessity. A genetic algorithm (GA) is used to solve the model, which is illustrated on a numerical example. Keywords: Possibility/necessity measures, inflation, time value of money, deterioration, genetic algorithm. MSC: 90B05 52 D. Yadav, . Singh, R. Kumari / Inventory Model of Deteriorating 1. INTRODUCTION The classical inventory models are mainly developed for the single storage facility. But, in the field of inventory management, when a .
