Monotonicity in multidimensional Markov decision processes for the batch dispatch problem

Monotonicity in multidimensional Markov decision processes for the batch dispatch problem

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Article ID: iaor20082008
Country: Netherlands
Volume: 35
Issue: 2
Start Page Number: 267
End Page Number: 272
Publication Date: Mar 2007
Journal: Operations Research Letters
Authors: ,
Keywords: markov processes, programming: dynamic
Abstract:

Structural properties of stochastic dynamic programs are essential to understanding the nature of the solutions and in deriving appropriate approximation techniques. We concentrate on a class of multidimensional Markov decision processes and derive sufficient conditions for the monotonicity of the value functions. We illustrate our result in the case of the multiproduct batch dispatch problem.

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