Abstract
The primary challenge in supply chain management (SCM) is matching supply with uncertain demand. Risk pooling is an efficient and promising strategy to meet this challenge by reducing the underlying demand uncertainty through aggregation. The main focus of this paper is to analyze the effects of risk pooling under different supply chain settings. There are two main contributions. First, we propose a mathematical framework which serves the multi-purpose of (1) unifying existing models on risk pooling in the literature, (2) providing new facets and insights of understanding existing results on risk pooling, and (3) setting up new ground for extending existing models and results. Second, we investigate one interesting effect of risk pooling, namely, the decreasing marginal return (or supermodularity). We show that there are decreasing marginal returns in risk pooling practices under certain conditions, specifically when the demand is independent and identically distributed (I.I.D.) and normally distributed.
Similar content being viewed by others
References
Cachon, G., Terwiesch, C. Matching Supply with Demand: An Introduction to Operations Management. MaGraw-Hill/Irwin, 2006
Chang, P.-L., Lin, C.-T. On the Effect of Centralization on Expected Costs in A Multi-location Newsboy Problem. Journal of Operational Research Society, 42(11): 1025–1030 (1991)
Charles, A., Corbett, J., Rajaram, K. Generalization of the Inventory Pooling Effect to Nonnormal Dependent Demand. Manufacturing & Service Operations Management, 8: 351–358 (2006)
Chen, M.-S., Lin, C.-T. Effects of Centralization on Expected Costs in a Multi-location Newsboy Problem. Journal of Operational Research Society, 40(6): 597–602 (1989)
Chen, M.-S., Lin, C.-T. An Example of Disbenefits of Centralized Stocking. The Journal of Operational Research Society, 41(3): 259–262 (1990)
Cherikh, M. On the Effect of Centralization on Expected Profits in a Multi-location Newsboy Problem. Journal of Operational Research, 51: 755–761 (2000)
Dong, L.x., Rudi, N. Who Benefits from Transshipment? Exogenous vs. Endogenous Wholesale Prices. Management Science, 50: 645–657 (2004)
Eppen, G.D. Effects of Centralization on Expected Costs in a Multi-location Newsboy Problem. Management Science, 25(5): 498–501 (1979)
Gerchak, Y., He, Q.-M. On the Relation between the Benefits of Risk Pooling and the Variability of Demand. IIE Transactions, 35: 1027–1031 (2003)
Gerchak, Y., Mossman, D. On the Effect of Demand Randomness on Inventories and Costs. Operations Research, 40(4): 804–807 (1991)
Simchi-Levi, D., Kaminsky, P., Simchi-Levi, E. Designing and Managing the Supply Chain. MaGraw-Hill/Irwin., 2003
Stulman, A. Benefits of Centralized Stocking for the Multi-Centre Newsboy Problem with First Come, First Served Allocation. Journal of Operational Research Society, 38(9): 827–832 (1987)
Zhang, J. Transshipment and Its Impact on Supply Chain Members’ Performance, Management Science, 51: 1534–1539 (2005)
Author information
Authors and Affiliations
Corresponding author
Additional information
Research supported by Natural Sciences and Engineering Research Council of Canada (NSERC) grant 283103.
Rights and permissions
About this article
Cite this article
Cai, X., Du, Dl. On the effects of risk pooling in supply chain management: Review and extensions. Acta Math. Appl. Sin. Engl. Ser. 25, 709–722 (2009). https://doi.org/10.1007/s10255-009-8830-x
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10255-009-8830-x