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Indiana University Bloomington

Operations & Decision Technologies

Kelley Advantage

Our Operations, Analytics and Information Systems faculty have written many of the definitive textbooks in the areas of operations, data analysis, database management, networking, and Excel modeling.

Recent Publications

Journal Articles

Optimal Joint Inventory and Transshipment Control under Uncertain Capacity

2008, Operations Research

Xinxin Hu, Izak Duenyas, Roman Kapuscinski

Abstract

In this paper, we address the optimal joint control of inventory and transshipment for a firm that produces in two locations and faces capacity uncertainty. Capacity uncertainty (e.g., due to downtime, quality problems, yield, etc.) is a common feature of many production systems, but its effects have not been explored in the context of a firm that has multiple production facilities. We first characterize the optimal production and transshipment policies and show that uncertain capacity leads the firm to ration the inventory that is available for transshipment to the other location and characterize the structure of this rationing policy. Then, we characterize the optimal production policies at both locations, which are defined by state-dependent produce-up-to thresholds. We also describe sensitivity of the optimal production and transshipment policies to problem parameters and, in particular, explain how uncertain capacity can lead to counterintuitive behavior, such as produce-up-to limits decreasing for locations that face stochastically higher demand. We finally explore, through a numerical study, when the optimal policy is most likely to yield significant benefits compared to simple policies.

Citation

Hu, Xinxin, Izak Duenyas, and Roman Kapuscinski (2008), "Optimal Joint Inventory and Transshipment Control under Uncertain Capacity," Operations Research, Vol. 56, No. 4, pp. 881-897.