tailieunhanh - Vendor-buyers relationship model for deteriorating items with shortages, fuzzy trapezoidal costs and inflation

In this paper, an integrated inventory model is developed from the perspective of a single vendor and multi-buyers for deteriorating items under fuzzy environment and inflation. In the development of the model, it is assumed that all costs parameters, demand and the production rates are imprecise in nature; they are represented by the trapezoidal fuzzy numbers, as these parameters are not constant and can be disturbed due to daily market changes. | Yugoslav Journal of Operations Research 23 (2013), Number 1, 73-85 DOI: VENDOR-BUYERS RELATIONSHIP MODEL FOR DETERIORATING ITEMS WITH SHORTAGES, FUZZY TRAPEZOIDAL COSTS AND INFLATION Chaman SINGH Department of Mathematics, Acharya Narendra Dev College University of Delhi Govindpuri, KalkaJi, New Delhi – 110019 chamansingh07@ Department of Mathematics . College, Meerut, Uttar Pradesh shivrajpundir@ Received: April 2011 / Accepted: September 2012 Abstract: In this paper, an integrated inventory model is developed from the perspective of a single vendor and multi-buyers for deteriorating items under fuzzy environment and inflation. In the development of the model, it is assumed that all costs parameters, demand and the production rates are imprecise in nature; they are represented by the trapezoidal fuzzy numbers, as these parameters are not constant and can be disturbed due to daily market changes. We use function principle as arithmetic operations to find the total inventory cost in fuzzy sense and Graded Mean – Integration Representation Method to defuzzify the fuzzy total inventory cost. Inflation is used to find the present worth of total cost. Since the optimal policy of buyers may not be the most economical for a vendor, thus to deal with this situation, integrated cost policy is used to reach the optimal policy. Finally, a numerical example is given to illustrate the model. Keywords: Fuzzy, trapezoidal fuzzy number, inflation. MSC: 90B05. 74 C. Singh, S. R. Singh / Vendor-Buyers Relationship Model 1. INTRODUCTION The fuzzy set concept has been used to deal with the modern business problems and the day-by-day changing market scenario. Now it is the need of the hour that a real supply chain must be operated in an uncertain environment and the omission of any effects of uncertainty leads to inferior supply chain designs. These uncertainties are usually associated with the product supply, the customer .

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