Multi-objective supplier selection and order allocation under quantity discounts with fuzzy goals and fuzzy constraints

This paper investigates a multi-objective supplier selection and order allocation problem under quantity discounts in a fuzzy environment. Prior research on supplier selection and order allocation with quantity discounts mainly considered partial fuzziness of the decision problem; a situation where both the objectives of the decision maker and the constraints are fuzzy has not been studied up to now. This paper closes this gap by integrating both aspects into a single model. First, a combination of fuzzy preference programming and interval-based TOPSIS is proposed for evaluating suppliers. Secondly, based on the scores obtained in the first step, a fuzzy multi-objective linear programming model is developed. Subsequently, a new solution procedure for solving the fuzzy multi-objective linear programming model is presented. The procedure first transforms fuzzy constraints and coefficients into deterministic coefficients, and then three different fuzzy programming approaches, namely interactive fuzzy multi-objective linear programming, and the weighted additive as well as the weighted max-min method are implemented. Finally, the performance of each method is evaluated by computing the distance between each solution and the preferred solution.

[1]  Atakan Yücel,et al.  A weighted additive fuzzy programming approach for multi-criteria supplier selection , 2011, Expert Syst. Appl..

[2]  Chin-Tsai Lin,et al.  An ERP model for supplier selection in electronics industry , 2011, Expert Syst. Appl..

[3]  Ludmil Mikhailov,et al.  A fuzzy programming method for deriving priorities in the analytic hierarchy process , 2000, J. Oper. Res. Soc..

[4]  Selçuk Perçin,et al.  An application of the integrated AHP‐PGP model in supplier selection , 2006 .

[5]  H. Zimmermann.  DESCRIPTION AND OPTIMIZATION OF FUZZY SYSTEMS , 1975 .

[6]  A. Ravindran,et al.  A Three-Phase Multicriteria Method to the Supplier Selection Problem , 2008 .

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

[8]  Srinivas Talluri,et al.  A Supply Risk Reduction Model Using Integrated Multicriteria Decision Making , 2008, IEEE Transactions on Engineering Management.

[9]  W. Tsai,et al.  Decision making of sourcing and order allocation with price discounts , 2010 .

[10]  Seyed Hassan Ghodsypour,et al.  A decision support system for supplier selection using an integrated analytic hierarchy process and linear programming , 1998 .

[11]  J. A. Ventura,et al.  An effective method to supplier selection and order quantity allocation , 2008 .

[12]  Gülfem Tuzkaya,et al.  A two-phase possibilistic linear programming methodology for multi-objective supplier evaluation and order allocation problems , 2008, Inf. Sci..

[13]  C. Hwang,et al.  Fuzzy Multiple Objective Decision Making: Methods And Applications , 1996 .

[14]  John R. Current,et al.  Non-cooperative negotiation strategies for vendor selection , 1998, Eur. J. Oper. Res..

[15]  Archana A. Chaudhari,et al.  A Review for Supplier Selection Criteria and Methods , 2011 .

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

[17]  He-Yau Kang,et al.  Fuzzy multiple goal programming applied to TFT-LCD supplier selection by downstream manufacturers , 2009, Expert Syst. Appl..

[18]  Kaveh Khalili Damghani,et al.  A two-stage approach based on ANFIS and fuzzy goal programming for supplier selection , 2013, Int. J. Appl. Decis. Sci..

[19]  Ezgi Aktar Demirtaş,et al.  An integrated multiobjective decision making process for supplier selection and order allocation , 2008 .

[20]  Kamran Shahanaghi,et al.  Integrating fuzzy TOPSIS and multi-period goal programming for purchasing multiple products from multiple suppliers , 2011 .

[21]  Ge Wang,et al.  Product-driven supply chain selection using integrated multi-criteria decision-making methodology , 2004 .

[22]  Jafar Razmi,et al.  Supplier selection and order allocation based on fuzzy SWOT analysis and fuzzy linear programming , 2011, Expert Syst. Appl..

[23]  Christoph H. Glock,et al.  Single sourcing versus dual sourcing under conditions of learning , 2012, Comput. Ind. Eng..

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

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

[26]  Seyed Hassan Ghodsypour,et al.  Vendor selection and order allocation using an integrated fuzzy case-based reasoning and mathematical programming model , 2009 .

[27]  A. Ravi Ravindran,et al.  Vendor selection in outsourcing , 2007, Comput. Oper. Res..

[28]  Mohammad Izadikhah,et al.  An algorithmic method to extend TOPSIS for decision-making problems with interval data , 2006, Appl. Math. Comput..

[29]  Sang-Chan Park,et al.  An effective supplier selection method for constructing a competitive supply-relationship , 2005, Expert Syst. Appl..

[30]  Joseph Geunes,et al.  Manufacturing delivery performance for supply chain management , 2007, Math. Comput. Model..

[31]  N.-E. Dahel.  Vendor selection and order quantity allocation in volume discount environments , 2003 .

[32]  H. Haleh,et al.  A fuzzy MCDM model for allocating orders to suppliers in a supply chain under uncertainty over a multi-period time horizon , 2011, Expert Syst. Appl..

[33]  Rammohan Kasuganti,et al.  Purchasing materials in the supply chain: managing a multi-objective task , 2001 .

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

[35]  Atakan Yücel,et al.  An integrated fuzzy-lp approach for a supplier selection problem in supply chain management , 2009, Expert Syst. Appl..

[36]  Tai-Yue Wang,et al.  A fuzzy model for supplier selection in quantity discount environments , 2009, Expert Syst. Appl..

[37]  J. Current,et al.  A MULTIOBJECTIVE APPROACH TO VENDOR SELECTION , 1993 .

[38]  Tadeusz Sawik,et al.  Single vs. multiple objective supplier selection in a make to order environment , 2010 .

[39]  Waiel F. Abd El-Wahed,et al.  Interactive fuzzy goal programming for multi-objective transportation problems ☆ , 2006 .

[40]  Tapan Kumar Roy,et al.  Multiobjective Transportation Model with Fuzzy Parameters: Priority based Fuzzy Goal Programming Approach , 2008 .

[41]  Tien-Fu Liang,et al.  Applying interactive fuzzy multi-objective linear programming to transportation planning decisions , 2006 .

[42]  Weijun Xia,et al.  Supplier selection with multiple criteria in volume discount environments , 2007 .

[43]  Saman Hassanzadeh Amin,et al.  An integrated model for closed-loop supply chain configuration and supplier selection: Multi-objective approach , 2012, Expert Syst. Appl..

[44]  M. Breton,et al.  Supplier selection-order allocation: A two stage multiple criteria dynamic programming approach , 2011 .

[45]  S. H. Ghodsypour,et al.  A weighted max–min model for fuzzy multi-objective supplier selection in a supply chain , 2011 .

[46]  Ludmil Mikhailov,et al.  Fuzzy analytical approach to partnership selection in formation of virtual enterprises , 2002 .

[47]  Ludmil Mikhailov,et al.  Deriving priorities from fuzzy pairwise comparison judgements , 2003, Fuzzy Sets Syst..

[48]  Christoph H. Glock,et al.  A multiple-vendor single-buyer integrated inventory model with a variable number of vendors , 2011, Comput. Ind. Eng..

[49]  K. Ganesh,et al.  A hybrid model for sourcing selection with order quantity allocation with multiple objectives under fuzzy environment , 2009, Int. J. Appl. Decis. Sci..

[50]  Sai Hong Tang,et al.  TOPSIS and fuzzy multi-objective model integration for supplier selection problem , 2008 .

[51]  Ching-Lai Hwang,et al.  Fuzzy Multiple Attribute Decision Making - Methods and Applications , 1992, Lecture Notes in Economics and Mathematical Systems.

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

[53]  Rong-Ho Lin,et al.  An integrated model for supplier selection under a fuzzy situation , 2012 .

[54]  Jafar Razmi,et al.  Scatter search algorithm for supplier selection and order lot sizing under multiple price discount environment , 2009, Adv. Eng. Softw..

[55]  Chang-Chun Lin,et al.  A weighted max-min model for fuzzy goal programming , 2004, Fuzzy Sets Syst..

[56]  Hans-Jürgen Zimmermann,et al.  Decision Making in Fuzzy Environment , 1985 .

[57]  R. Lin,et al.  An integrated FANP–MOLP for supplier evaluation and order allocation , 2009 .

[58]  Hsing-Pei Kao,et al.  An integrated fuzzy TOPSIS and MCGP approach to supplier selection in supply chain management , 2011, Expert Syst. Appl..

[59]  Srinivas Talluri,et al.  A note on "A methodology for supply base optimization" , 2005, IEEE Transactions on Engineering Management.