期刊
MATHEMATICAL METHODS OF OPERATIONS RESEARCH
卷 73, 期 2, 页码 159-187出版社
SPRINGER HEIDELBERG
DOI: 10.1007/s00186-010-0340-3
关键词
Birth-and-death process; Continuous-time Markov chain; Fluid model; Optimal control; Queueing system; Dynamic programming
资金
- ORSAS award
- University of Liverpool Graduate Association (Hong Kong)
- University of Liverpool
- British Council [PN08.021]
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.
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