tailieunhanh - Fuzzy stochastic inventory model for deteriorating item

The model has been formulated as a fuzzy stochastic programming problem and reduced to corresponding equivalent fuzzy linear programming problem. The model has been solved by using fuzzy linear programming technique and illustrated numerically. | Yugoslav Journal of Operations Research 27 (2017), Number 1, 91–97 DOI: FUZZY STOCHASTIC INVENTORY MODEL FOR DETERIORATING ITEM Rahul Faculty of Science Kisan Veer Mahavidyalaya, Wai Maharashatra(INDIA) rahul waliv@ Faculty of Science of Sciences, Satara, Maharashatra(INDIA) Received: March 2015 / Accepted: April 2016 Abstract: A multi item profit maximization inventory model is developed in fuzzy stochastic environment. Demand is taken as Stock dependent demand. Available storage space is assumed to be imprecise and vague in nature. Impreciseness has been expressed by linear membership function. Purchasing cost and investment constraint are considered to be random and their randomness is expressed by normal distribution. The model has been formulated as a fuzzy stochastic programming problem and reduced to corresponding equivalent fuzzy linear programming problem. The model has been solved by using fuzzy linear programming technique and illustrated numerically. Keywords: Inventory Model, Stock Dependent Demand, Fuzzy-Stochastic Programming, Fuzzy Linear Programming. MSC: 90B05. 1. INTRODUCTION The classical inventory models were developed regarding the specific requirements of deterministic cost and demand without deterioration of the items in stock. Gradually, the concept of deterioration in inventory system is considered 92 . Waliv, / Fuzzy Stochastic Inventory Model by inventory researchers so that now most of the inventory problems, include the effect of deterioration as a natural phenomenon. In general, deterioration is defined as damage, spoilage, dryness, vaporization, and so is deterioration that results in a decrease of the usefulness of the original of time parameters of inventory model may be uncertain in probabilistic sense, or imprecise. If the parameters are random in nature,stochastic inventory models has been developed by using .