Fuzzy multi-criteria approach to ordering policy ranking in a supply chain

Authors

  • Danijela Tadić University of Kragujevac - Faculty of Mechanical Engineering, Kragujevac, Serbia & Montenegro

DOI:

https://doi.org/10.2298/YJOR0502243T

Keywords:

supply chain, ordering policy, fuzzy data, fuzzy rank, multi-criteria optimization

Abstract

In this paper, a new fuzzy multi-criteria mathematical model for the selection of the best among a finite number of ordering policy of raw material in a supply chain is developed. The problem treated is a part of the purchasing plan of a company in an uncertain environment and it is very common in business practice. Optimization criteria selected describe the performance measures of ordering policies and generally their relative importance is different. It is assumed that the values of the optimization criteria are vague and imprecise. They are described by discrete fuzzy numbers and by linguistic expressions. The linguistic expressions are modeled by discrete fuzzy sets. The measures of belief that one ordering policy is better than another are defined by comparing fuzzy numbers. An illustrative example is given.

References

Ballou, H.R., Basic Business Logistics, Prentice-Hall, Inc., Englewood Cliffs, USA, 1992.

Bass, M.S., and Kwakernaak, H., "Rating and ranking of multiple aspect alternatives using fuzzy sets", Automatic, 13 (1997) 47-58.

Dobler, D.W., Purchasing and Material Management: Text and Cases, McGraw-Hill, USA, 1990.

Dooley, K., "Purchasing and supply", Operational Research, 8 (1995) 21-25.

Fazel Zarandi, H.M., et al., "Supply chain: crips and fuzzy aspects", Int. J. Appl. Math. Comput. Sci., 12 (3) (2002) 423-435.

Galović, D., "Multicriteria optimization in choosing the supply strategy of the complex production distribution system", Ph.D Dissertation, University of Belgrade, 1999.

Galović, D., and Zrnić, Đ., "Multicriteria approach to the problem of the integration of suppliers into a production-distribution system", YUJOR, 9 (2) (1999) 207-222.

Kelle, P., and Miller, P.A., "Stockout risk and order splitting", Proc. 10th ISIR, Budapest, 1998.

Lau, H.S., and Lau, A.H., "Coordinating two suppliers with offsetting lead time and price performance", Journal of Operations Management, 11 (1994) 327-337.

Mackey, M., "Achieving inventory reduction through the use of partner-shipping", Ind. Eng., 24 (1992) 36-38.

Petrović, R., and Petrović, D., "Multicriteria ranking of inventory replenishment policies in the presence of uncertainty in customer demand", International Journal of Production Economics, 71 (2001) 439-446.

Saaty, T.L., "How to make a decision: The analytic hierarchy process", EJOR, 48 (1990) 9-26.

Sugeno, M., and Yasukawa, T., "A fuzzy-logic-based approach to qualitative modeling", IEEE Trans. Fuzzy Syst., 1 (1) (1993) 7-31.

Thomas, J., and Griffin, M.P., "Coordinated supply chain management", EJOR, 94 (1996) 1-15.

Türk sen, I.B., and Fazel Zarandi, M.H., "Production planning and scheduling: Fuzzy and crip approaches", in: Practical Applications of Fuzzy Technologies, H.J. Zimmerman (ed.), Kluwer Academic Publisher, Boston, 1999, 479-529.

Vincke, P., Multicriteria Decision-Aid, John Wiley & Sons, 1992.

Werner, D., and Albers, S., "Supply chain management in the global context", Working Paper No. 102, University of Koeln, 2002.

Yoon, K.P., and Hwang, C.L., "Multiple attribute decision making: An introduction", Series: Quantitative Applications in the Social Sciences 104, Sage University Paper, Thousand Oaks, California, 1995.

Zimmermann, H.J., Fuzzy Set Theory and its Applications, Boston, Kluwer Academic Publishing, 1996.

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Published

2005-09-01

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Section

Research Articles