Accuracy of fluid approximations to controlled birth-and-death processes: absorbing case

Alexey Piunovskiy () and Yi Zhang ()

Mathematical Methods of Operations Research, 2011, vol. 73, issue 2, 159-187

Abstract: We consider the fluid model of a controlled birth-and-death process with an absorbing state. Instead of analyzing the trajectories, we investigate the performance functionals of the underlying process by considering algebraic equations of the dynamic programming type. We provide the accuracy of such fluid approximations and give illustrative examples. Copyright Springer-Verlag 2011

Keywords: Birth-and-death process; Continuous-time Markov chain; Fluid model; Optimal control; Queueing system; Dynamic programming (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s00186-010-0340-3

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