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Journal of Information Science and Engineering, Vol. 26 No. 1, pp. 231-253


A Fuzzy Inventory System with Deteriorating Items under Supplier Credits Linked to Ordering Quantity


LIANG-YUH OUYANG1, JINN-TSAIR TENG2 AND MEI-CHUAN CHENG3
1Department of Management Sciences and Decision Making 
3Graduate Institute of Management Sciences 
Tamkang University 
Tamsui, Taipei Hsien, 251 Taiwan 
2Department of Marketing and Management Sciences 
The William Paterson University of New Jersey 
Wayne, New Jersey 07470-2103, U.S.A.


    The inventory problem associated with trade credit is a popular topic in which interest income and interest payments are important issues. Most studies related to trade credit assume that the interest rate is both fixed and predetermined. However, in the real market, many factors such as financial policy, monetary policy and inflation, may affect the interest rate. Moreover, within the environment of merchandise storage, some distinctive factors arise which ultimately affect the quality of products such as temperature, humidity, and storage equipment. Thus, the rate of interest charges, the rate of interest earned, and the deterioration rate in a real inventory problem may be fuzzy. In this paper, we deal with these three imprecise parameters in inventory modeling by utilizing the fuzzy set theory. We develop the fuzzy inventory model based on Chang et al.'s [1] model by fuzzifying the rate of interest charges, the rate of interest earned, and the deterioration rate into the triangular fuzzy number. Subsequently, we discuss how to determine the optimal ordering policy so that the total relevant inventory cost, in the fuzzy sense, is minimal. Furthermore, we show that Chang et al.'s [1] model (the crisp model) is a special case of our model (the fuzzy model). Finally, numerical examples are provided to illustrate these results.


Keywords: inventory, deteriorating item, delay payments, fuzzy set, signed distance

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