Full versus partial coordination in serial N-echelon supply chains and a new profit-sharing contract

Document Type : Research Article

Authors

1 School of Industrial Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran

2 School of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran.; Arts et Metier ParisTech, LCFC, Metz, France.

3 School of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran.

Abstract

Despite the significance of full coordination of N-echelon supply chains in real-world decision-making situations, the relevant literature has rarely addressed this issue. Furthermore, there is a scarcity of mathematical models in the supply chain management literature for partially coordinated cases. To address these shortcomings, this study concerns both the full and partial coordination in serial N-echelon supply chains facing stochastic demand. In particular, three general cases including decentralized (no coordination), sub-supply chain coordination (partial coordination) and centralized (full coordination) cases are examined to support decisions on ordering and pricing. In addition, this study adds to the literature by investigating how to coordinate a serial N-echelon supply chain through a new spanning profit sharing contract, which can coordinate the entire supply chain through only one contract. Furthermore, we analytically prove the occurrence of externality benefit in partially coordinated cases, which is a paradoxical phenomenon suggesting that small coalitions are unstable. Two numerical examples extracted from the literature are given to verify the effectiveness and validity of the proposed contracts and models. The results show that the proposed contracts can be applied in a rather simple and convenient way and is reliable enough for use in real-world applications.

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Main Subjects

References

References:
1. Stadtler, H., Kilger, C., and Meyr, H., Supply Chain Management and Advanced Planning: Concepts, Models, Software and Case Studies, 5th Edn., Springer, Berlin (2015).
2. Tsay, A.A., Nahmias, S., and Agrawal, N. "Modeling supply chain contracts: A review", In Quantitative Models for Supply Chain Management, S. Tayur, R. Ganeshan, and M. Magazine, Eds., 1st Edn., pp. 299- 336, Springer Science & Business Media, New York (1999).
3. Rooeinfar, R., Azimi P., and Pourvaziri, H. "Multiechelon supply chain network modelling and optimization via simulation and metaheuristic algorithms", Scientia Iranica, Transactions E: Industrial Engineering, 23(1), pp. 330-347 (2016).
4. Govindan, K., Popiuc, M.N., and Diabat, A. "Overview of coordination contracts within forward and reverse supply chains", Journal of Cleaner Production, 47, pp. 319-334 (2013).
5. Thien, N.P., Luong, H.T., Khang, D.B., and Sukhotu, V. "Revenue sharing contract with two-way penalties", International Journal of Operational Research, 23(1), pp. 63-93 (2015).
6. Van der Rhee, B., Van Der Veen, J.A., Venugopal, V., and Nalla, V.R. "A new revenue sharing mechanism for coordinating multi-echelon supply chains", Operations Research Letters, 38(4), pp. 296-301 (2010).
7. Feng, X., Moon, I., and Ryu, K. "Revenue-sharing contracts in an N-stage supply chain with reliability considerations", International Journal of Production Economics, 147, pp. 20-29 (2014).
8. Hou, Y., Wei, F., Li, S.X., Huang, Z., and Ashley, A. "Coordination and performance analysis for a threeechelon supply chain with a revenue sharing contract", International Journal of Production Research, 55(1), pp. 202-227 (2017).
9. Van der Rhee, B., Schmidt, G., Van der Veen, J.A., and Venugopal, V. "Revenue-sharing contracts across an extended supply chain", Business Horizons, 57(4), pp. 473-482 (2014).
10. Zhao, Y., Choi, T.M., Cheng, T.C.E., Sethi, S.P., and Wang, S. "Buyback contracts with price-dependent demands: Effects of demand uncertainty", European Journal of Operational Research, 239(3), pp. 663-673 (2014).
11. Giri, B.C., Bardhan, S., and Maiti, T. "Coordinating a three-layer supply chain with uncertain demand and random yield", International Journal of Production Research, 54(8), pp. 2499-2518 (2016).
12. Ding, D. and Chen, J. "Coordinating a three level supply chain with  flexible return policies", Omega, 36(5), pp. 865-876 (2008).
13. Saha, S. "Channel characteristics and coordination in three-echelon dual-channel supply chain", International Journal of Systems Science, 47(3), pp. 740-754 (2016).
14. Liu, X., Gou, Q., Alwan, L., and Liang, L. "Option contracts: a solution for overloading problems in the delivery service supply chain", Journal of the Operational Research Society, 67(2), pp. 187-197 (2016).
15. Arani, H.V., Rabbani, M., and Rafiei, H. "A revenuesharing option contract toward coordination of supply chains", International Journal of Production Economics, 178, pp. 42-56 (2016).
16. Arshinder, K., Kanda, A., and Deshmukh, S.G. "A review on supply chain coordination: coordination mechanisms, managing uncertainty and research directions", In Supply Chain Coordination under Uncertainty, T.M. Choi, and T.E. Cheng, Eds., 1st Edn., pp. 39-82, Springer, Berlin, Heidelberg (2011).
17. Seifert, R.W., Zequeira, R.I., and Liao, S. "A threeechelon supply chain with price-only contracts and sub-supply chain coordination", International Journal of Production Economics, 138(2), pp. 345-353 (2012).
18. Zhang, C.T. and Liu, L.P. "Research on coordination mechanism in three-level green supply chain under non-cooperative game", Applied Mathematical Modelling, 37(5), pp. 3369-3379 (2013).
19. Du, D., Chen, B., and Xu, D. "Quantifying the efficiency of price-only contracts in push supply chains over demand distributions of known supports", Omega, 42(1), pp. 98-108 (2014).
20. Shang, K.H. and Song, J.S. "Newsvendor bounds and heuristic for optimal policies in serial supply chains", Management Science, 49(5), pp. 618-638 (2003).
21. Cantor, D.E. and Katok, E. "Production smoothing in a serial supply chain: A laboratory investigation", Transportation Research Part E: Logistics and Transportation Review, 48(4), pp. 781-794 (2012).
22. Dominguez, R., Framinan, J.M., and Cannella, S. "Serial vs. divergent supply chain networks: a comparative analysis of the bullwhip effect", International Journal of Production Research, 52(7), pp. 2194-2210 (2014).
23. Silver, E.A., Pyke, D.F., and Peterson, R., Inventory Management and Production Planning and Scheduling, Wiley, New York (1998).
24. Khouja, M. "The single-period (news-vendor) problem: literature review and suggestions for future research", Omega, 27(5), pp. 537-553 (1999).
25. Qin, Y., Wang, R., Vakharia, A.J., Chen, Y., and Seref, M.M. "The newsvendor problem: Review and directions for future research", European Journal of Operational Research, 213(2), pp. 361-374 (2011).
26. Choi, T.M., Handbook of Newsvendor Problems: Models, Extensions and Applications, Springer Science & Business Media, New York (2012).
27. Li, L. and Whang, S. "Game theory models in operations management and information systems", In Game Theory and Business Applications, K. Chatterjee, and W. Samuelson, Eds. pp. 95-131, Springer, Boston, MA (2002).
28. Cachon, G.P. and Netessine, S. "Game theory in supply chain analysis", In Models, Methods, and Applications for Innovative Decision Making, INFORMS, pp. 200-233 (2006).
29. Nagarajan, M. and Sosic, G. "Game-theoretic analysis of cooperation among supply chain agents: Review and extensions", European Journal of Operational Research, 187(3), pp. 719-745 (2008).
30. Sahin, F. and Robinson, E.P. "Flow coordination and information sharing in supply chains: review, implications, and directions for future research", Decision Sciences, 33(4), pp. 505-536 (2002).
31. Cachon, G.P. "Supply chain coordination with contracts", In Handbooks in Operations Research and Nanagement Science, A.G. de Kok and S.C. Graves, Eds., pp. 227-339 (2003).
32. Chiu, C.H. and Choi, T.M. "Supply chain risk analysis with mean-variance models: a technical review", Annals of Operations Research, 240(2), pp. 489-507 (2016).
33. Myerson, R.B. "Values of games in partition function form", International Journal of Game Theory, 6(1), pp. 23-31 (1977).
34. Giannoccaro, I. and Pontrandolfo, P. "Supply chain coordination by revenue sharing contracts", International Journal of Production Economics, 89(2), pp. 131-139 (2004).
35. He, Y. and Zhang, J. "Random yield risk sharing in a two-level supply chain", International Journal of Production Economics, 112(2), pp. 769-781 (2008).
36. Lariviere, M.A. and Porteus, E.L. "Selling to the newsvendor: An analysis of price-only contracts", Manufacturing & Service Operations Management, 3(4), pp. 293-305 (2001).
37. Diamantoudi, E., Macho-Stadler, I., Perez-Castrillo, D., and Xue, L. "Sharing the surplus in games with externalities within and across issues", Economic Theory, 60(2), pp. 315-343 (2015).
38. Raz, G., and Ovchinnikov, A. "Coordinating pricing and supply of public interest goods using government rebates and subsidies", IEEE Transactions on Engineering Management, 62(1), pp. 65-79 (2015).
39. Nicholson, W., and Snyder, C., Microeconomic Theory: Basic Principles and Extensions, 11th Ed., South- Western, USA (2011).
40. De Clippel, G. and Serrano, R. "Marginal contributions and externalities in the value", Econometrica, 76(6), pp. 1413-1436 (2008).
41. Li, J., Choi, T.M., and Cheng, T.E. "Mean variance analysis of fast fashion supply chains with returns policy", IEEE Transactions on Systems, Man, and Cybernetics: Systems, 44(4), pp. 422-434 (2014).
42. Hsueh, C.F. "Improving corporate social responsibility in a supply chain through a new revenue sharing contract", International Journal of Production Economics, 151, pp. 214-222 (2014).
43. Choi, T.M., Li, D., Yan, H., and Chiu, C.H. "Channel coordination in supply chains with agents having mean-variance objectives", Omega, 36(4), pp. 565-576 (2008).
44. Grabisch, M. and Funaki, Y. "A coalition formation value for games in partition function form", European Journal of Operational Research, 221(1), pp. 175-185 (2012).
Scientia Iranica
Volume 26, Issue 4
Transactions on Industrial Engineering (E)
July and August 2019
Pages 2455-2471

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History

  • Receive Date: 07 December 2016
  • Revise Date: 15 January 2018
  • Accept Date: 26 May 2018

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