Application of average dynamic programming to inventory systems

Application of average dynamic programming to inventory systems

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Article ID: iaor19992189
Country: Germany
Volume: 47
Issue: 3
Start Page Number: 451
End Page Number: 471
Publication Date: Jan 1998
Journal: Mathematical Methods of Operations Research (Heidelberg)
Authors: ,
Keywords: programming: dynamic
Abstract:

We show the existence of average cost (AC-) optimal policy for an inventory system with uncountable state space; in fact, the AC-optimal cost and an AC-optimal stationary policy are explicitly computed. In order to do this, we use a variant of the vanishing discount factor approach, which has been intensively studied in recent years but the available results did not cover the inventory problem we are interested in.

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