Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2015, Article ID 497826, 14 pages
http://dx.doi.org/10.1155/2015/497826
Research Article

Multiple Objective Fuzzy Sourcing Problem with Multiple Items in Discount Environments

Department of Industrial Engineering, Gazi University, Maltepe, 06570 Ankara, Turkey

Received 23 July 2014; Revised 4 December 2014; Accepted 4 December 2014

Academic Editor: Tsan-Ming Choi

Copyright © 2015 Feyzan Arikan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. G. W. Dickson, “An analysis of vendor selection systems and decisions,” Journal of Purchasing, vol. 2, no. 1, pp. 5–17, 1966. View at Google Scholar
  2. F. Arikan, “Fuzzy decision making for multiple sourcing and order allocation with price discounts,” in Proceedings of the Joint International Symposium on the Social Impacts of the Development in Information Manufacturing and Service Systems (CIE '44/IMSS '14), Istanbul, Turkey, October 2014.
  3. D. Sirias and S. Mehra, “Quantity discount versus lead time-dependent discount in an inter-organizational supply chain,” International Journal of Production Research, vol. 43, no. 16, pp. 3481–3496, 2005. View at Publisher · View at Google Scholar · View at Scopus
  4. N. Aissaoui, M. Haouari, and E. Hassini, “Supplier selection and order lot sizing modeling: a review,” Computers and Operations Research, vol. 34, no. 12, pp. 3516–3540, 2007. View at Publisher · View at Google Scholar · View at Scopus
  5. G. J. Burke, J. Carrillo, and A. J. Vakharia, “Heuristics for sourcing from multiple suppliers with alternative quantity discounts,” European Journal of Operational Research, vol. 186, no. 1, pp. 317–329, 2008. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  6. Y. Qin, R. Wang, A. J. Vakharia, Y. Chen, and M. M. Seref, “The newsvendor problem: review and directions for future research,” European Journal of Operational Research, vol. 213, no. 2, pp. 361–374, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  7. A. A. Sadrian and Y. S. Yoon, “Business volume discount a new perspective on discount pricing strategy,” International Journal of Purchasing and Materials Management, vol. 28, pp. 43–46, 1992. View at Google Scholar
  8. A. A. Sadrian and Y. S. Yoon, “Procurement decision support system in business volume discount environments,” Operations Research, vol. 42, no. 1, pp. 14–23, 1994. View at Publisher · View at Google Scholar · View at Scopus
  9. E. C. Rosenthal, J. L. Zydiac, and S. S. Chaudhry, “Vendor selection with bundling,” Decision Sciences, vol. 26, no. 1, pp. 35–48, 1995. View at Publisher · View at Google Scholar
  10. J. Sarkis and J. H. Semple, “Vendor selection with bundling: a comment,” Decision Sciences, vol. 30, no. 1, pp. 265–271, 1999. View at Publisher · View at Google Scholar · View at Scopus
  11. N. N. Murthy, S. Soni, and S. Ghosh, “A framework for facilitating sourcing and allocation decisions for make-to-order items,” Decision Sciences, vol. 35, no. 4, pp. 609–636, 2004. View at Publisher · View at Google Scholar · View at Scopus
  12. I. Turner, “An independent system for the evaluation of contract tenders,” Journal of the Operational Research Society, vol. 39, no. 6, pp. 551–561, 1988. View at Publisher · View at Google Scholar · View at Scopus
  13. R. J. Tersine and S. Barman, “Economic inventory/transport lot sizing with quantity and freight rate discounts,” Decision Sciences, vol. 22, no. 5, pp. 1171–1191, 1991. View at Google Scholar
  14. T. H. Burwell, D. S. Dave, K. E. Fitzpatrick, and M. R. Roy, “Economic lot size model for price-dependent demand under quantity and freight discounts,” International Journal of Production Economics, vol. 48, no. 2, pp. 141–155, 1997. View at Publisher · View at Google Scholar · View at Scopus
  15. J. Moussourakis and C. Haksever, “Models for ordering multiple products subject to multiple constraints, quantity and freight discounts,” American Journal of Operations Research, vol. 3, pp. 521–535, 2013. View at Google Scholar
  16. S. A. Torabi and E. Hassini, “Multi-site production planning integrating procurement and distribution plans in multi-echelon supply chains: an interactive fuzzy goal programming approach,” International Journal of Production Research, vol. 47, no. 19, pp. 5475–5499, 2009. View at Publisher · View at Google Scholar · View at Scopus
  17. R. N. Tiwari, S. Dharmar, and J. R. Rao, “Fuzzy goal programming—an additive model,” Fuzzy Sets and Systems, vol. 24, no. 1, pp. 27–34, 1987. View at Publisher · View at Google Scholar · View at MathSciNet
  18. Y. J. Lai and C. L. Hwang, “A new approach to some possibilistic linear programming problems,” Fuzzy Sets and Systems, vol. 49, no. 2, pp. 121–133, 1992. View at Publisher · View at Google Scholar · View at MathSciNet
  19. Y.-J. Lai and C. L. Hwang, Fuzzy Multiple Objective Decision Making-Methods and Applications, vol. 404 of Lecture Notes in Economics and Mathematical Systems, Springer, Berlin, Germany, 1996. View at Publisher · View at Google Scholar · View at MathSciNet
  20. L.-H. Chen and F.-C. Tsai, “Fuzzy goal programming with different importance and priorities,” European Journal of Operational Research, vol. 133, no. 3, pp. 548–556, 2001. View at Publisher · View at Google Scholar · View at Scopus
  21. C. A. Weber, J. R. Current, and W. C. Benton, “Vendor selection criteria and methods,” European Journal of Operational Research, vol. 50, no. 1, pp. 2–18, 1991. View at Publisher · View at Google Scholar · View at Scopus
  22. Z. Degraeve, E. Labro, and F. Roodhooft, “An evaluation of vendor selection models from a total cost of ownership perspective,” European Journal of Operational Research, vol. 125, no. 1, pp. 34–58, 2000. View at Publisher · View at Google Scholar · View at Scopus
  23. L. De Boer, E. Labro, and P. Morlacchi, “A review of methods supporting supplier selection,” European Journal of Purchasing and Supply Management, vol. 7, no. 2, pp. 75–89, 2001. View at Publisher · View at Google Scholar · View at Scopus
  24. W. Ho, X. Xu, and P. K. Dey, “Multi-criteria decision making approaches for supplier evaluation and selection: a literature review,” European Journal of Operational Research, vol. 202, no. 1, pp. 16–24, 2010. View at Publisher · View at Google Scholar · View at Scopus
  25. D. Peidro, J. Mula, R. Poler, and F. C. Lario, “Quantitative models for supply chain planning under uncertainty,” International Journal of Advanced Manufacturing Technology, vol. 43, no. 3-4, pp. 400–420, 2009. View at Publisher · View at Google Scholar · View at Scopus
  26. J. Chai, J. N. K. Liu, and E. W. T. Ngai, “Application of decision-making techniques in supplier selection: a systematic review of literature,” Expert Systems with Applications, vol. 40, no. 10, pp. 3872–3885, 2013. View at Publisher · View at Google Scholar · View at Scopus
  27. T.-Y. Wang and Y.-H. Yang, “A fuzzy model for supplier selection in quantity discount environments,” Expert Systems with Applications, vol. 36, no. 10, pp. 12179–12187, 2009. View at Publisher · View at Google Scholar · View at Scopus
  28. F. Arikan and Y. S. Küçükçe, “A supplier selection-evaluation problem for the purchase action and its solution,” Journal of the Faculty of Engineering and Architecture of Gazi University, vol. 27, no. 2, pp. 255–264, 2012. View at Google Scholar · View at Scopus
  29. W. Xia and Z. Wu, “Supplier selection with multiple criteria in volume discount environments,” Omega, vol. 35, no. 5, pp. 494–504, 2007. View at Publisher · View at Google Scholar · View at Scopus
  30. A. H. I. Lee, H.-Y. Kang, and C.-T. Chang, “Fuzzy multiple goal programming applied to TFT-LCD supplier selection by downstream manufacturers,” Expert Systems with Applications, vol. 36, no. 3, pp. 6318–6325, 2009. View at Publisher · View at Google Scholar · View at Scopus
  31. T. Sawik, “Single vs. multiple objective supplier selection in a make to order environment,” Omega, vol. 38, no. 3-4, pp. 203–212, 2010. View at Publisher · View at Google Scholar · View at Scopus
  32. C. A. Weber and J. R. Current, “A multiobjective approach to vendor selection,” European Journal of Operational Research, vol. 68, no. 2, pp. 173–184, 1993. View at Publisher · View at Google Scholar · View at Scopus
  33. C. A. Weber, J. Current, and A. Desai, “An optimization approach to determining the number of vendors to employ,” Supply Chain Management, vol. 5, no. 2, pp. 90–98, 2000. View at Publisher · View at Google Scholar · View at Scopus
  34. N.-E. Dahel, “Vendor selection and order quantity allocation in volume discount environments,” Supply Chain Management, vol. 8, no. 4, pp. 335–342, 2003. View at Publisher · View at Google Scholar · View at Scopus
  35. S. Pokharel, “A two objective model for decision making in a supply chain,” International Journal of Production Economics, vol. 111, no. 2, pp. 378–388, 2008. View at Publisher · View at Google Scholar · View at Scopus
  36. W. C. Tsai and C. H. Wang, “Decision making of sourcing and order allocation with price discounts,” Journal of Manufacturing Systems, vol. 29, no. 1, pp. 47–54, 2010. View at Publisher · View at Google Scholar · View at Scopus
  37. J. Rezaei and M. Davoodi, “Multi-objective models for lot-sizing with supplier selection,” International Journal of Production Economics, vol. 130, no. 1, pp. 77–86, 2011. View at Publisher · View at Google Scholar · View at Scopus
  38. F. Arikan, “A fuzzy solution approach for multi objective supplier selection,” Expert Systems with Applications, vol. 40, no. 3, pp. 947–952, 2013. View at Publisher · View at Google Scholar · View at Scopus
  39. F. Arikan, “A two-phased additive approach for multiple objective supplier selection with fuzzy demand level,” Journal of Multiple-Valued Logic and Soft Computing, vol. 22, pp. 373–385, 2014. View at Google Scholar
  40. F. Arikan, “An interactive solution approach for multiple objective supplier selection problem with fuzzy parameters,” Journal of Intelligent Manufacturing, 2013. View at Publisher · View at Google Scholar · View at Scopus
  41. H.-J. Zimmermann, “Fuzzy programming and linear programming with several objective functions,” Fuzzy Sets and Systems, vol. 1, no. 1, pp. 45–55, 1978. View at Google Scholar · View at MathSciNet
  42. M. Kumar, P. Vrat, and R. Shankar, “A fuzzy goal programming approach for vendor selection problem in a supply chain,” Computers and Industrial Engineering, vol. 46, no. 1, pp. 69–85, 2004. View at Publisher · View at Google Scholar · View at Scopus
  43. M. Kumar, P. Vrat, and R. Shankar, “A fuzzy programming approach for vendor selection problem in a supply chain,” International Journal of Production Economics, vol. 101, no. 2, pp. 273–285, 2006. View at Publisher · View at Google Scholar · View at Scopus
  44. D. Özgen, S. Önüt, B. Gülsün, U. R. Tuzkaya, and G. Tuzkaya, “A two-phase possibilistic linear programming methodology for multi-objective supplier evaluation and order allocation problems,” Information Sciences, vol. 178, no. 2, pp. 485–500, 2008. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  45. A. Amid, S. H. Ghodsypour, and C. O'Brien, “Fuzzy multiobjective linear model for supplier selection in a supply chain,” International Journal of Production Economics, vol. 104, no. 2, pp. 394–407, 2006. View at Publisher · View at Google Scholar · View at Scopus
  46. A. Amid, S. H. Ghodsypour, and C. O'Brien, “A weighted additive fuzzy multiobjective model for the supplier selection problem under price breaks in a supply chain,” International Journal of Production Economics, vol. 121, no. 2, pp. 323–332, 2009. View at Publisher · View at Google Scholar · View at Scopus
  47. F. Faez, S. H. Ghodsypour, and C. O'Brien, “Vendor selection and order allocation using an integrated fuzzy case-based reasoning and mathematical programming model,” International Journal of Production Economics, vol. 121, no. 2, pp. 395–408, 2009. View at Publisher · View at Google Scholar · View at Scopus
  48. E. J. Wang, Y. C. Chen, W. S. Wang, and T. S. Su, “Analysis of outsourcing cost-effectiveness using a linear programming model with fuzzy multiple goals,” International Journal of Production Research, vol. 48, no. 2, pp. 501–523, 2010. View at Publisher · View at Google Scholar · View at Scopus
  49. C.-Y. Ku, C.-T. Chang, and H.-P. Ho, “Global supplier selection using fuzzy analytic hierarchy process and fuzzy goal programming,” Quality & Quantity, vol. 44, no. 4, pp. 623–640, 2010. View at Publisher · View at Google Scholar · View at Scopus
  50. A. Yücel and A. F. Güneri, “A weighted additive fuzzy programming approach for multi-criteria supplier selection,” Expert Systems with Applications, vol. 38, no. 5, pp. 6281–6286, 2011. View at Publisher · View at Google Scholar · View at Scopus
  51. M. Díaz-Madroñero, D. Peidro, and P. Vasant, “Vendor selection problem by using an interactive fuzzy multi-objective approach with modified S-curve membership functions,” Computers & Mathematics with Applications, vol. 60, no. 4, pp. 1038–1048, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  52. D. D. Wu, Y. Zhang, and D. L. Olson, “Fuzzy multi-objective programming for supplier selection and risk modeling: a possibility approach,” European Journal of Operational Research, vol. 200, no. 3, pp. 774–787, 2010. View at Publisher · View at Google Scholar · View at Scopus
  53. E. S. Lee and R.-J. Li, “Fuzzy multiple objective programming and compromise programming with Pareto optimum,” Fuzzy Sets and Systems, vol. 53, no. 3, pp. 275–288, 1993. View at Publisher · View at Google Scholar · View at MathSciNet
  54. R. J. Dolan, “Quantity discounts: managerial issues and research opportunities,” Marketing Science, vol. 6, no. 1, pp. 1–23, 1987. View at Google Scholar
  55. W. C. Benton and S. Park, “A classification of literature on determining the lot size under quantity discounts,” European Journal of Operational Research, vol. 92, no. 2, pp. 219–238, 1996. View at Publisher · View at Google Scholar · View at Scopus
  56. M. Setak, S. Sharifi, and A. Alimohammadian, “Supplier selection and order allocation models in supply chain management: a review,” World Applied Sciences Journal, vol. 18, no. 1, pp. 55–72, 2012. View at Publisher · View at Google Scholar · View at Scopus
  57. S. Nazari-Shirkouhi, H. Shakouri, B. Javadi, and A. Keramati, “Supplier selection and order allocation problem using a two-phase fuzzy multi-objective linear programming,” Applied Mathematical Modelling, vol. 37, no. 22, pp. 9308–9323, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  58. H.-Y. Kang and A. H. I. Lee, “Inventory replenishment model using fuzzy multiple objective programming: a case study of a high-tech company in Taiwan,” Applied Soft Computing Journal, vol. 10, no. 4, pp. 1108–1118, 2010. View at Publisher · View at Google Scholar · View at Scopus
  59. J. Razmi and E. Maghool, “Multi-item supplier selection and lot-sizing planning under multiple price discounts using augmented ε-constraint and Tchebycheff method,” International Journal of Advanced Manufacturing Technology, vol. 49, no. 1–4, pp. 379–392, 2010. View at Publisher · View at Google Scholar · View at Scopus
  60. S. A. Torabi and E. Hassini, “An interactive possibilistic programming approach for multiple objective supply chain master planning,” Fuzzy Sets and Systems, vol. 159, no. 2, pp. 193–214, 2008. View at Publisher · View at Google Scholar · View at Scopus
  61. B. M. Werners, “Aggregation models in mathematical programming,” in Mathematical Models for Decision Support, G. Mitra, Ed., vol. 48 of NATO ASI Series, pp. 295–305, Springer, Berlin, Germany, 1988. View at Publisher · View at Google Scholar · View at MathSciNet
  62. F. Arikan, “A modified augmented max min model for weighted fuzzy goal programming,” Journal of Intelligent and Fuzzy Systems, vol. 27, no. 1, pp. 339–350, 2013. View at Publisher · View at Google Scholar