Quantity Discounts in Supplier Selection Problem by Use of Fuzzy Multi-criteria Programming

Supplier selection in supply chain is a multi-criteria problem that involves a number of quantitative and qualitative factors. This paper deals with a concrete problem of flour purchase by a company that manufactures bakery products and the purchasing price of flour depends on the quantity ordered. The criteria for supplier selection and quantities supplied by individual suppliers are: purchase costs, product quality and reliability of suppliers. The problem is solved using a model that combines revised weighting method and fuzzy multi-criteria linear programming (FMCLP). The paper highlights the efficiency of the proposed methodology in conditions when purchasing prices depend on order quantities.

[1]  Z. Babic,et al.  Vendor selection by application of revised weighting method and fuzzy multicriteria linear programming , 2010 .

[2]  R. Tiwari,et al.  Fuzzy goal programming- an additive model , 1987 .

[3]  Ali Kokangül,et al.  Integrated analytical hierarch process and mathematical programming to supplier selection problem with quantity discount , 2009 .

[4]  S. H. Ghodsypour,et al.  Fuzzy multiobjective linear model for supplier selection in a supply chain , 2006 .

[5]  James L. Zydiak,et al.  Vendor selection with price breaks , 1993 .

[6]  T. L. Saaty,et al.  The computational algorithm for the parametric objective function , 1955 .

[7]  J. Koski,et al.  Norm methods and partial weighting in multicriterion optimization of structures , 1987 .

[8]  H. Zimmermann Fuzzy programming and linear programming with several objective functions , 1978 .

[9]  Yves Crama,et al.  Optimal procurement decisions in the presence of total quantity discounts and alternative product recipes , 2004, Eur. J. Oper. Res..

[10]  Lotfi A. Zadeh,et al.  Optimality and non-scalar-valued performance criteria , 1963 .

[11]  A. Sadrian,et al.  Business Volume Discount: A New Perspective on Discount Pricing Strategy , 1992 .

[12]  W. C. Benton,et al.  Vendor selection criteria and methods , 1991 .

[13]  Amir A. Sadrian,et al.  A Procurement Decision Support System in Business Volume Discount Environments , 1994, Oper. Res..

[14]  Richard Bellman,et al.  Decision-making in fuzzy environment , 2012 .

[15]  S. H. Ghodsypour,et al.  A weighted additive fuzzy multiobjective model for the supplier selection problem under price breaks in a supply Chain , 2009 .

[16]  Fred W. Glover,et al.  The deterministic multi-item dynamic lot size problem with joint business volume discount , 2000, Ann. Oper. Res..