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Centralization versus Decentralization: Risk Pooling, Risk Diversification, and Supply Uncertainty in a One-Warehouse Multiple-Retailer System

Amanda J. Schmitt
MIT Center for Transportation & Logistics

Lawrence V. Snyder
Lehigh University

Zuo-Jun Max Shen
University of California, Berkeley - Department of Industrial Engineering & Operations Research (IEOR)


May 27, 2008


Abstract:     
We investigate optimal system design in a One-Warehouse Multiple-Retailer system in which supply is stochastic. We examine the expected costs and cost variances of the system in both a centralized and a decentralized inventory system when supply is either completely disrupted or subject to yield uncertainty. We show that using a decentralized inventory design reduces cost variance through the risk-diversification effect, and that when demand is deterministic and supply may be disrupted, a decentralized inventory system is optimal. This is in contrast to the classical result that when supply is deterministic and demand is stochastic, centralization is optimal due to the risk-pooling effect. When both supply may be disrupted and demand is stochastic, we demonstrate that a risk-averse firm should typically choose a decentralized inventory system design.

Keywords: supply disruptions, inventory management, risk diversification

Working Paper Series

Date posted: April 03, 2008 ; Last revised: May 27, 2008

Suggested Citation

Schmitt, Amanda J., Snyder, Lawrence V. and Shen, Zuo-Jun Max, Centralization versus Decentralization: Risk Pooling, Risk Diversification, and Supply Uncertainty in a One-Warehouse Multiple-Retailer System (May 27, 2008). Available at SSRN: http://ssrn.com/abstract=1115392


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Contact Information

Amanda J. Schmitt (Contact Author)
MIT Center for Transportation & Logistics ( email )
77 Massachusetts Ave., E40
Cambridge, MA 02139
United States
Zuo-Jun Max Shen
University of California, Berkeley - Department of Industrial Engineering & Operations Research (IEOR) ( email )
IEOR Department
4135 Etcheverry Hall
Berkeley, CA 94720
United States
Lawrence V. Snyder
Lehigh University ( email )
621 Taylor Street
Bethlehem, PA 18015
United States
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