tailieunhanh - An integrated supply chain model for the perishable items with fuzzy production rate and fuzzy demand rate

In the changing market scenario, supply chain management is getting phenomenal importance amongst researchers. Studies on supply chain management have emphasized the importance of a long-term strategic relationship between the manufacturer, distributor and retailer. In the present paper, a model has been developed by assuming that the demand rate and production rate as triangular fuzzy numbers and items deteriorate at a constant rate. | Yugoslav Journal of Operations Research 21 (2011), Number 1, 47-64 DOI: AN INTEGRATED SUPPLY CHAIN MODEL FOR THE PERISHABLE ITEMS WITH FUZZY PRODUCTION RATE AND FUZZY DEMAND RATE Chaman SINGH 1Assistant Professor, Dept. of Mathematics, . College, University of Delhi chamansingh07@ . SINGH Reader, Dept. of Mathematics, .(.) College, Meerut shivrajpundir@ Received: August 2009 / Accepted: March 2011 Abstract: In the changing market scenario, supply chain management is getting phenomenal importance amongst researchers. Studies on supply chain management have emphasized the importance of a long-term strategic relationship between the manufacturer, distributor and retailer. In the present paper, a model has been developed by assuming that the demand rate and production rate as triangular fuzzy numbers and items deteriorate at a constant rate. The expressions for the average inventory cost are obtained both in crisp and fuzzy sense. The fuzzy model is defuzzified using the fuzzy extension principle, and its optimization with respect to the decision variable is also carried out. Finally, an example is given to illustrate the model and sensitivity analysis is performed to study the effect of parameters. Keywords: Fuzzy numbers, fuzzy demand, fuzzy production, integrated supply chain. MSC: 90B30 1. INTRODUCTION Today, the study of the supply chain model in a fuzzy environment is gaining phenomenal importance around the globe. In such a scenario, it is the need of the hour that a real supply chain be operated in an uncertain environment and the omission of any effects of uncertainty leads to inferior supply chain designs. Indeed, attention has been focused on the randomness aspect of uncertainty. Due to the increased awareness and 48 C. Singh, . Singh / An Integrated Supply Chain Model more receptiveness to innovative ideas, organizations today are constantly looking for newer and better avenues to reduce their