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Allocation of Cost Savings in a Three-Level Supply Chain with Demand Information Sharing: A Cooperative-Game Approach

Author

Listed:
  • Mingming Leng

    (Department of Computing and Decision Sciences, Lingnan University, Tuen Mun, Hong Kong)

  • Mahmut Parlar

    (DeGroote School of Business, McMaster University, Hamilton, Ontario, Canada L8S 4M4)

Abstract

We analyze the problem of allocating cost savings from sharing demand information in a three-level supply chain with a manufacturer, a distributor, and a retailer. To find a unique allocation scheme, we use concepts from cooperative game theory. First, we analytically compute the expected cost incurred by the manufacturer and then use simulation to obtain expected costs for the distributor and the retailer. We construct a three-person cooperative game in characteristic-function form and derive necessary conditions for the stability of each of five possible coalitions. To divide the cost savings between two members, or among three supply chain members, we use various allocation schemes. We present numerical analyses to investigate the impacts of the demand autocorrelation coefficient, (rho), and the unit holding and shortage costs on the allocation scheme.

Suggested Citation

  • Mingming Leng & Mahmut Parlar, 2009. "Allocation of Cost Savings in a Three-Level Supply Chain with Demand Information Sharing: A Cooperative-Game Approach," Operations Research, INFORMS, vol. 57(1), pages 200-213, February.
    • Handle: RePEc:inm:oropre:v:57:y:2009:i:1:p:200-213
    DOI: 10.1287/opre.1080.0528
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    References listed on IDEAS

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    1. Konishi, Hideo & Ray, Debraj, 2003. "Coalition formation as a dynamic process," Journal of Economic Theory, Elsevier, vol. 110(1), pages 1-41, May.
    2. Aldo Montesano, 2001. "Uncertainty with Partial Information on the Possibility of the Events," Theory and Decision, Springer, vol. 51(2), pages 183-195, December.
    3. Hau L. Lee & Kut C. So & Christopher S. Tang, 2000. "The Value of Information Sharing in a Two-Level Supply Chain," Management Science, INFORMS, vol. 46(5), pages 626-643, May.
    4. Kahn, James A, 1987. "Inventories and the Volatility of Production," American Economic Review, American Economic Association, vol. 77(4), pages 667-679, September.
    5. SCHMEIDLER, David, 1969. "The nucleolus of a characteristic function game," LIDAM Reprints CORE 44, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    7. James A. Ligon & Paul D. Thistle, 2005. "The Formation of Mutual Insurers in Markets with Adverse Selection," The Journal of Business, University of Chicago Press, vol. 78(2), pages 529-556, March.
    8. McKelvey, Richard D & Schofield, Norman, 1987. "Generalized Symmetry Conditions at a Core Point," Econometrica, Econometric Society, vol. 55(4), pages 923-933, July.
    9. Frank Chen & Zvi Drezner & Jennifer K. Ryan & David Simchi-Levi, 2000. "Quantifying the Bullwhip Effect in a Simple Supply Chain: The Impact of Forecasting, Lead Times, and Information," Management Science, INFORMS, vol. 46(3), pages 436-443, March.
    10. John H. Boyd & Edward C. Prescott & Bruce D. Smith, 1988. "Organizations in Economic Analysis," Canadian Journal of Economics, Canadian Economics Association, vol. 21(3), pages 477-491, August.
    11. David Simchi‐Levi & Yao Zhao, 2003. "The value of information sharing in a two‐stage supply chain with production capacity constraints," Naval Research Logistics (NRL), John Wiley & Sons, vol. 50(8), pages 888-916, December.
    12. Raghunathan, Srinivasan, 2003. "Impact of demand correlation on the value of and incentives for information sharing in a supply chain," European Journal of Operational Research, Elsevier, vol. 146(3), pages 634-649, May.
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