Lower bounds for multi-echelon stochastic inventory systems

Lower bounds for multi-echelon stochastic inventory systems

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Article ID: iaor19951607
Country: United States
Volume: 40
Issue: 11
Start Page Number: 1426
End Page Number: 1443
Publication Date: Nov 1994
Journal: Management Science
Authors: ,
Keywords: production, distribution, networks
Abstract:

The authors establish lower bounds on the minimum cost of managing certain production-distribution networks with setup costs at all stages and stochastic demands. These networks include serial, assembly, and one-warehouse multi-retailer systems. The authors obtain the bounds through novel cost-allocation schemes. They evaluate the bounds’ performance for one-warehouse multi-retailer systems by comparing them with simple, heuristic policies. The bounds are quite tight for systems with a small number of retailers. The authors also present simplified proofs of known optimality results for serial and assembly systems.

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