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

Alexey Piunovskiy, Yi Zhang

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)159-187
Number of pages29
JournalMathematical Methods of Operations Research
Volume73
Issue number2
DOIs
Publication statusPublished - Apr 2011

Bibliographical note

Funding Information:
This research was partially supported by the Alliance: Franco-British Research Partnership Programme, project PN08.021, British Council.

Keywords

  • Birth-and-death process
  • Continuous-time Markov chain
  • Dynamic programming
  • Fluid model
  • Optimal control
  • Queueing system

ASJC Scopus subject areas

  • Software
  • Mathematics(all)
  • Management Science and Operations Research

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