Two-stage game-theoretic approach to supplier evaluation, selection, and order assignment

Document Type : Article

Authors

1 Department of Distribution Management, Takming University of Science and Technology, Taipei 114, Taiwan, ROC

2 Department of Industrial and System Engineering, Chung Yuan Christian University, Chungli 32023, Taiwan, ROC

3 - Department of Industrial and System Engineering, Chung Yuan Christian University, Chungli 32023, Taiwan, ROC - Department of Industrial Engineering, Universitas Atma Jaya Yogyakarta, Yogyakarta 55281, Indonesia

Abstract

This study proposes a framework for supplier evaluation, selection, and assignment that incorporates a two-stage game-theoretic approach method. The objective is to provide insights to manufacturers in choosing suitable suppliers for different manufacturing processes. The framework applies to the decision logic of multiple manufacturing processes. In the first stage, a non-cooperative game model is utilized for supplier evaluation and selection. The interactive behaviors between a manufacturer and some supplier candidates are modeled and analyzed so that the supplier evaluation value (SEV) can be obtained using the Nash equilibrium. In the second stage, the supplier evaluation values become the input for the Shepley values calculation of each supplier under a cooperative game model. The Shapley values are utilized to create a set of limited supplier allocation. This paper provides managerial insights to verify the proposed approach on supplier selection and allocation. Thus enables SCM manager to optimize supplier evaluation, selection, and order assignment.

Keywords


References:
1. Keyvanloo, M., Kimiagari, A.M., and Esfahanipour, A. "Risk analysis of sourcing problem using stochastic programming", Scientia Iranica, Transaction E: Industrial Engineering, 21(3), pp. 1034-1043 (2014).
2. Choi, T.Y. and Hartley, J.L. "An exploration of supplier selection practices across the supply chain", Journal of Operations Management, 14(4), pp. 333- 343 (1996).
3. Rao, C.J., Zheng, J.J., Hu, Z., and Goh, M. "Compound mechanism design in multi-attribute and multisource procurement of electricity coal", Scientia Iranica, Transactions E: Industrial Engineering, 23(3), pp. 1384-1398 (2016).
4. Dickson, G.W. "An analysis of vendor selection systems and decisions", Journal of Purchasing, 2(1), pp. 5-17 (1966).
5. Weber, C.A., Current, J.R., and Benton, W.C. "Vendor selection criteria and methods", European Journal of Operational Research, 50(1), pp. 2-18 (1991).
6. Weber, M., Hiete, M., Lauer, L., and Rentz, O. "Low cost country sourcing and its effects on the total cost of ownership structure for a medical devices manufacturer", Journal of Purchasing and Supply Management, 16(1), pp. 4-16 (2010).
7. Maurizio, B. and Alberto, P. "From traditional purchasing to supplier management: A fuzzy logic-based approach to supplier selection", International Journal of Logistics, 5(3), pp. 235-255 (2002).
8. Chan, T.S.F. and Kumar, N. "Global supplier development considering risk factors using fuzzy extended AHP-based approach", Omega, 35(4), pp. 417-431 (2007).
9. Freeman, J. and Chen, T. "Green supplier selection using an AHP-Entropy-TOPSIS framework", Supply Chain Management: An International Journal, 20(2), pp. 327-340 (2015).
10. Neyestani, M.S., Jolai, F., and Golmakani, H.R. "An evolutionary algorithm for supplier order allocation with fuzzy parameters considering linear and volume discount", Scientia Iranica, Transaction E: Industrial Engineering, 22(3), pp. 1130-1141 (2015).
11. Hosseini, S. and Barker, K. "A Bayesian network model for resilience-based supplier selection", International Journal of Production Economics, 180, pp. 68-87 (2016).
12. Tezenji, F.R., Mohammadi, M., Pasandideh, S.H.R., and Koupaei, M.N. "An integrated model for supplier location-selection and order allocation under capacity constraints in an uncertain environment", Scientia Iranica, Transactions E: Industrial Engineering, 23(6), pp. 3009-3025 (2016).
13. Wetzstein, A., Hartmann, E., Benton Jr., W.C., and Hohenstein, N.O. "A systematic assessment of supplier selection literature - State-of-the-art and future scope", International Journal of Production Economics, 182, pp. 304-323 (2016).
14. Zaheri, F., Zandieh, M., and Taghavifard, M.T. "Bilevel programming for supplier selection under quantity discount policy", Scientia Iranica, Transactions E: Industrial Engineering, 24(4), pp. 2095-2104 (2017).
15. Adeinat, H. and Ventura, J.A. "Integrated pricing and supplier selection in a two-stage supply chain", International Journal of Production Economics, 201, pp. 193-202 (2018).
16. Rabieh, M., Modarres, M., and Azar, A. "Robustfuzzy model for supplier selection under uncertainty: An application to the automobile industry", Scientia Iranica, Transactions E: Industrial Engineering, 25(4), pp. 2297-2311 (2018).
17. Mohammaditabar, D., Ghodsypour, S.H., and Hafezalkotob, A. "A game theoretic analysis in capacityconstrained supplier-selection and cooperation by considering the total supply chain inventory costs", International Journal of Production Economics, 181, pp. 87-97 (2016).
18. Liu, T., Deng, Y., and Chan, F. "Evidential supplier selection based on DEMATEL and game theory", International Journal of Fuzzy System, 20(4), pp. 1321-1333 (2018).
19. Von Neumann, J. and Morgenstern, O., Theory of Games and Economic Behavior, Princeton University Press, Princeton, New Jersey (1944).
20. Nash, J. "Non-cooperative games", Annals of Mathematics, 54(2), pp. 286-295 (1951).
21. LaValle, S.M., Planning Algorithms, Cambridge University Press, Cambridge, New York (2006).
22. Shapley, L.S. "A value for n-person games", In Contributions to the Theory of Games Vol. II H.W. Kuhn and A.W. Tucker, Princeton University Press, Princeton, New Jersey (1953).
23. Roth, A.E., The Shapley Value: Essays in Honor of Lloyd S. Shapley, Cambridge University Press, Cambridge, New York (1988).
24. Samuelson, L. "Game theory in economics and beyond", Journal of Economic Perspectives, 30(4), pp. 107-130 (2016).
25. Fudenberg, D. and Levine, D.K. "Whither game theory? Towards a theory of learning in games", Journal of Economic Perspectives, 30(4), pp. 151-170 (2016).
26. Dixit, A.K., Skeath, S., and Reiley Jr., D.H., Games of Strategy, 4th Ed., W. W. Norton & Company, New York (2015).
27. Huang, Z. and Li, S.X. "Co-op advertising model in manufacturer-retailer supply chains: A game theory approach", European Journal of Operation Research, 135(3), pp. 527-544 (2001).
28. Leng, M. and Parlar, M. "Game theoretic applications in supply chain management: A review", INFOR, 43(3), pp. 187-220 (2005).
29. Peldschus, F. and Zavadskas, E.K. "Fuzzy matrix games multi-criteria model for decision-making in engineering", Informatica, 16(1), pp. 107-120 (2005).
30. Hennet, J.C. and Arda, Y. "Supply chain coordination: A game-theory approach", Engineering Applications of Artificial Intelligence, 21(3), pp. 399-405 (2008).
31. Bompard, E., Carpaneto, E., Ciwei, G., et al. "A game theory simulator for assessing the performances of competitive electricity markets", Electric Power Systems Research, 78(2), pp. 217-227 (2008).
32. Long, R. and Yu, L. "Study on regulation design about energy-saving and emission-reduction based on game theory", Procedia Earth and Planetary Science, 1(1), pp. 1641-1646 (2009).
33. Chen, Y.M., Wu, D., and Wu, C.K. "A game theory approach for evaluating terrorist threats and deploying response agents in urban environments", Journal of Homeland Security and Emergency Management, 6(1), Article 31, pp. 1-25 (2009).
34. Runyan, P., Heping, W., Zhengping, W., and Yu, L. "Decision-making of aircraft optimum configuration utilizing multi-dimensional game theory", Chinese Journal of Aeronautics, 23(2), pp. 194-197 (2010).
35. Madani, K. "Game theory and water resources", Journal of Hydrology, 381(3-4), pp. 225-238 (2010).
36. Charilas, D.E. and Panagopoulos, A.D. "A survey on game theory applications in wireless networks", Computer Networks, 54(18), pp. 3421-3430 (2010).
37. Sharma, R. and Gopal, M. "Synergizing reinforcement learning and game theory - A new direction for control", Applied Soft Computing, 10(3), pp. 675-688 (2010).
38. Dayi, H. and Jianwei, G. "Carbon abatement game between regulator and firms", Energy Procedia, 5, pp. 1859-1863 (2011).
39. Liu, W.Y., Yue, K., Wu, T.Y., and Wei, M.J. "An approach for multi-objective categorization based on the game theory and Markov process", Applied Soft Computing, 11(6), pp. 4087-4096 (2011).
40. Tiwari, S., Cardenas-Barron, L.E., Goh, M., and Shaikh, A.A. "Joint pricing and inventory model for deteriorating items with expiration dates and partial backlogging under two-level partial trade credits in supply chain", International Journal of Production Economics, 200, pp. 16-36 (2018).
41. Tiwari, S., Cardenas-Barron, L.E., Khanna, A., and Jaggi, C.K. "Impact of trade credit and in ation on retailer's ordering policies for non-instantaneous deteriorating items in a two-warehouse environment", International Journal of Production Economics, 176, pp. 154-169 (2016).
42. Tiwari, S., Jaggi, C.K., Bhunia, A.K., et al. "Twowarehouse inventory model for non-instantaneous deteriorating items with stock-dependent demand and inflation using particle swarm optimization", Annals of Operations Research, 254(1-2), pp. 401-423 (2017).
43. Tiwari, S., Jaggi, C.K., Gupta, M., and Cardenas- Barron, L.E. "Optimal pricing and lot-sizing policy for supply chain system with deteriorating items under limited storage capacity", International Journal of Production Economics, 200, pp. 278-290 (2018).
44. Tiwari, S., Wee, H.M., and Sarkar, S. "Lot-sizing policies for defective and deteriorating items with time-dependent demand and trade credit", European Journal of Industrial Engineering, 11(5), pp. 683-703 (2017).
45. Jaggi, C.K., Tiwari, S., and Goel, S.K. "Credit financing in economic ordering policies for non-instantaneous deteriorating items with price dependent demand and two storage facilities", Annals of Operations Research, 248(1-2), pp. 253-280 (2017).
46. Gimenez, C. and Tachizawa, E. "Extending sustainability to suppliers: a systematic literature review", Supply Chain Management, 17(5), pp. 531-543 (2012).
47. Tiwari, S., Daryanto, Y., and Wee, H.M. "Sustainable inventory management with deteriorating and imperfect quality items considering carbon emission", Journal of Cleaner Production, 192, pp. 281-292 (2018).
48. Rabieh, M., Rafsanjani, A.F., Babaei, L., and Esmaeili, M. "Sustainable supplier selection and order allocation: An integrated Delphi method, fuzzy topsis, and multi-objective programming model", Scientia Iranica, Transactions E: Industrial Engineering, 26(4), pp. 2524-2540 (2019).
49. Fiestras-Janeiro, M.G., Garcia J.I., Meca, A., and Mosquera, M.A. "Cooperative game theory and inventory management", European Journal of Operational Research, 210(3), pp. 459-466 (2011).
50. Zhao, R., Neighbour, G., Han, J., et al. "Using game theory to describe strategy selection for environmental risk and carbon emissions reduction in the green supply chain", Journal of Loss Prevention in the Process Industries, 25(6), pp. 927-936 (2012).
51. Zhao, R., Neighbour, G., McGuire, M., and Deutz, P. "A software based simulation for cleaner production: A game between manufacturers and government", Journal of Loss Prevention in the Process Industries, 26(1), pp. 59-67 (2013).
52. Wu, P.I., Chen, C.T., Cheng, P.C., and Liou, J.L. "Climate game analyses for CO2 emission trading among various world organization", Economic Modelling, 36, pp. 441-446 (2014).
53. Sadigh, A.N., Chaharsooghi, S.K., and Sheikhmohammady, M. "Game-theoretic analysis of coordinating pricing and marketing decisions in a multi-product multi-echelon supply chain", Scientia Iranica, Transactions E: Industrial Engineering, 23(3), pp. 1459- 1473 (2016).
54. Nazari, L., Seifbarghy, M., and Setak, M. "Modeling and analyzing pricing and inventory problem in a closed-loop supply chain with return policy and multiple manufacturers and multiple sales channels using game theory", Scientia Iranica, Transaction E: Industrial Engineering, 25(5), pp. 2759-2774 (2018).
55. Wu, C.K. "A game theory approach for assessing risk value and deploying search-and-rescue resources after devastating tsunamis", Environmental Research, 162, pp. 18-26 (2018).
56. Cheheltani, S.H. and Ebadzadeh, M.M. "Immune based approach to find mixed Nash equilibrium in normal form games", Journal of Applied Sciences, 10(6), pp. 487-193 (2010).
57. Wu, C.K., DRAG: Deploying Response Resources for MAS Agents Using Game Theory, Amazon Digital Service LLC, Kindle Edition (2015).
58. El-Shazly, A. "Strategic interaction between governments and investors under privatization programs", Managerial and Decision Economics, 33(1), pp. 29-38 (2012).
59. Alpcan, T. and Basar, T. "Network security: A decision and game-theoretic approach", Cambridge University Press, Cambridge, New York (2010).
60. Kumar, A., Jain, V., and Kumar, S. "A comprehensive environment friendly approach for supplier  election", Omega, 41(1), pp. 109-123 (2014).
61. Lamba, K., Singh, S.P., and Mishra, N. "Integrated decisions for supplier selection and lot-sizing considering different carbon emission regulations in big data environment", Computers & Industrial Engineering, 128, pp. 1052-1062 (2019).