A Technique for Supply Chain Network Design under Uncertainty using Cross-Efficiency Fuzzy Data Envelopment Analysis

Abstract The paper focuses on Supply Chain Network Design (SCND) under uncertainty. We propose a SCND method extending an approach originally proposed by some of the authors for supplier ranking. The novel method integrates the cross-efficiency Data Envelopment Analysis (DEA) and fuzzy set theory to manage the SCND problem considering nondeterministic input and output data. After ranking all the actors belonging to each SCN stage, a linear integer programming model is stated and solved for each pair of subsequent SC stages to maximize the overall SCN efficiency, while respecting the available capacity at each node and satisfying customers’ demand. A case study is presented to show the technique effectiveness.

[1]  Shiang-Tai Liu,et al.  Fuzzy efficiency measures in fuzzy DEA/AR with application to university libraries , 2009, Expert Syst. Appl..

[2]  Mariagrazia Dotoli,et al.  A model for supply management of agile manufacturing supply chains , 2012 .

[3]  Hans-Jürgen Zimmermann,et al.  Fuzzy Set Theory - and Its Applications , 1985 .

[4]  Chiang Kao Network Data Envelopment Analysis with Fuzzy Data , 2014 .

[5]  Francisco Saldanha-da-Gama,et al.  Facility location and supply chain management - A review , 2009, Eur. J. Oper. Res..

[6]  Raul Poler Escoto,et al.  Fuzzy optimization for supply chain planning under supply, demand and process uncertainties , 2009, Fuzzy Sets Syst..

[7]  T. Drezner,et al.  Competitive supply chain network design: An overview of classifications, models, solution techniques and applications , 2014 .

[8]  David Thomas,et al.  State of the art in supply chain risk management research: empirical and conceptual findings and a roadmap for the implementation in practice , 2010, Logistics Research.

[9]  Walter Ukovich,et al.  A model for the strategic design of Distribution Networks , 2010, 2010 IEEE International Conference on Automation Science and Engineering.

[10]  Alireza Amirteimoori,et al.  Production planning in data envelopment analysis , 2012 .

[11]  Walter Ukovich,et al.  A fuzzy programming approach for the strategic design of distribution networks , 2011, 2011 IEEE International Conference on Automation Science and Engineering.

[12]  Mariagrazia Dotoli,et al.  Fuzzy network design of sustainable supply chains , 2012 .

[13]  Qiang Liu,et al.  A class of multi-objective supply chain networks optimal model under random fuzzy environment and its application to the industry of Chinese liquor , 2008, Inf. Sci..

[14]  Sebastián Lozano,et al.  Network Fuzzy Data Envelopment Analysis , 2014 .

[15]  Mir Saman Pishvaee,et al.  A possibilistic programming approach for closed-loop supply chain network design under uncertainty , 2010, Fuzzy Sets Syst..

[16]  Desheng Dash Wu,et al.  Supply chain DEA: production possibility set and performance evaluation model , 2011, Ann. Oper. Res..

[17]  Tien-Fu Liang,et al.  Application of fuzzy sets to manufacturing/distribution planning decisions in supply chains , 2011, Inf. Sci..

[18]  M. P. Fanti,et al.  Supplier selection in the public procurement sector via a data envelopment analysis approach , 2011, 2011 19th Mediterranean Conference on Control & Automation (MED).

[19]  Chiang Kao,et al.  Efficiency decomposition in network data envelopment analysis: A relational model , 2009, Eur. J. Oper. Res..

[20]  Chiang Kao,et al.  Efficiency measurement for parallel production systems , 2009, Eur. J. Oper. Res..

[21]  Joe Zhu,et al.  DEA models for supply chain efficiency evaluation , 2006, Ann. Oper. Res..

[22]  Mariagrazia Dotoli,et al.  A cross-efficiency fuzzy Data Envelopment Analysis technique for performance evaluation of Decision Making Units under uncertainty , 2015, Comput. Ind. Eng..

[23]  Mir-Bahador Aryanezhad,et al.  A multi-objective robust optimization model for multi-product multi-site aggregate production planning in a supply chain under uncertainty , 2011 .

[24]  Abraham Charnes,et al.  Measuring the efficiency of decision making units , 1978 .

[25]  E. Roghanian,et al.  Supply chain network optimization: A review of classification, models, solution techniques and future research , 2013 .

[26]  S.A. Torabi,et al.  An interactive possibilistic programming approach for multiple objective supply chain master planning , 2008, Fuzzy Sets Syst..