Capacitated serial inventory systems: Sample path and stability properties under base-stock policies

Capacitated serial inventory systems: Sample path and stability properties under base-stock policies

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Article ID: iaor20105598
Volume: 58
Issue: 4-Part-1
Start Page Number: 1017
End Page Number: 1022
Publication Date: Jul 2010
Journal: Operations Research
Authors: , ,
Keywords: base stock systems
Abstract:

We study a periodically reviewed multiechelon serial inventory system with a capacity constraint on the order quantity at every stage. Under echelon base-stock policies, we demonstrate a simple sample-path result that maps the echelon shortfalls in the serial system to the shortfalls of suitably defined single-stage systems. Because the shortfall processes of single-stage systems are well understood, our result allows us to reinterpret results in the literature on the stability and regeneration times of such multiechelon systems in a simpler fashion with weaker assumptions.

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