Model of stochastic spanning revenue-sharing contracts for multi-echelon supply chains


We consider a stochastic demand problem under a fixed-price newsvendor setting. We investigate revenue-sharing contract models that could be implemented to coordinate all supply chain actors in a decentralized decision-making supply chain in order to act together coherently. We develop and compare two revenue-sharing contract models: a pairwise contract model between two players in each echelon and a spanning contract model that covers all echelons. In the last model, we assume that the most downstream entity initiates a single contract involving all upstream entities. Our numerical experiments show that in the decentralized condition, the most upstream entity will have the biggest percentage of revenue, while the most downstream one will receive the smallest. We also demonstrate that in these two types of contracts, all of the entities could have a bigger profit in the decentralized condition than that in the centralized one.

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  1. Cachon, G., and M.A. Lariviere. 2000. Supply chain coordination with revenue sharing contracts: Strengths and limitations. Working Paper, The Wharton School of Business, University of Pennsylvania, Philadelphia.

  2. Cachon, G.P., and M.A. Lariviere. 2005. Supply chain coordination with revenue sharing contracts: Strengths and limitations. Management Science 51: 30–44.

    Article  Google Scholar 

  3. Cachon, G.P., and F. Zhang. 2006. Procuring fast delivery: Sole-sourcing with information asymmetry. Management Science 52 (6): 881–896.

    Article  Google Scholar 

  4. Chakravarty, A., and J. Zhang. 2007. Collaboration in contingent capacities with information asymmetry. Naval Research Logistics (NRL). 54: 421–432.

    Article  Google Scholar 

  5. Corbett, C.J., D. Zhou, and C.S. dan Tang. 2004. Designing supply chain contracts: Type and information asymmetry. Management Science 50: 550–559.

    Article  Google Scholar 

  6. Emmons, H., and S. Gilbert. 1998. Note. The role of returns policies in pricing and inventory decisions for catalogue goods. Management Science 44: 276–283.

    Article  Google Scholar 

  7. Eppen, G.D., and A.V. Iyer. 1997. Backup agreements in fashion buying—the value of upstream flexibility. Management Science 43 (11): 1469–1484.

    Article  Google Scholar 

  8. Giannocarro, I., and P. Pontrandolfo. 2004. Supply chain coordination by revenue sharing contracts. International Journal of Production Economics 89: 131–139.

    Article  Google Scholar 

  9. Ha, A. 2001. Supplier buyer contracting: Asymmetric information and cut off level policy for buyer participation. Naval Research Logistics 48: 41–46.

    Article  Google Scholar 

  10. Krishnan, H., R. Kapuscinski, and D.A. Butz. 2004. Coordinating contracts for decentralized supply chains with retailer promotional effort. Management Science 50: 48–63.

    Article  Google Scholar 

  11. Lee, H., and S. Whang. 1999. Decentralized multi echelon supply chain: Incentives and information. Management Science 45 (5): 633–640.

    Article  Google Scholar 

  12. Lutze, H.S., and O. dan Ozer O. 2008. Promised lead time contracts and renegotiation incentives under asymmetric information. Operation Research 56: 898–915.

    Article  Google Scholar 

  13. Nosoohi, I., S. Minner, and A.S. Nookabali. 2013. Revenue sharing and buy back contracts under asymmetric cost information. Working Paper, School of Management, Department of Logistics and Supply Chain Management, TU Munchen, Germany.

  14. Rhee, B., J.A.A. Veen, V. Venugopal, and V.R. Nalla. 2010. A new revenue sharing mechanism for coordinating multi echelon supply chains. Operation Research Letters 38: 296–301.

    Article  Google Scholar 

  15. Tsay, A. 1999. The quantity flexibility contract and supplier customer incentives. Management Science 45: 1339–1358.

    Article  Google Scholar 

  16. Wang, Y.-Y., H.S. Lau, and Z.-S. Hua. 2012. Three revenue-sharing variants: Their significant performance differences under system-parameter uncertainties. The Journal of the Operational Research Society.

    Article  Google Scholar 

  17. Whang, S. 1995. Coordination in operations: A taxonomy. Journal of Operations Management 12: 413–422.

    Article  Google Scholar 

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Correspondence to Ahmad Rusdiansyah.

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Rusdiansyah, A., Putri, R.D.A. Model of stochastic spanning revenue-sharing contracts for multi-echelon supply chains. J Revenue Pricing Manag 19, 302–313 (2020).

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  • Revenue-sharing contract
  • Pairwise contract
  • Spanning contract
  • Stochastics