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On a class of continuous-time Markov processes

  • J. Gani (a1) and Pyke Tin (a2)

Abstract

This paper considers a certain class of continuous-time Markov processes, whose time-dependent and stationary distributions are studied. In the stationary case, the analogy with Whittle's relaxed Markov process is pointed out. The derivation of the probability generating functions of the general process provides useful results for the analysis of some population and queueing processes.

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∗∗ Postal address: Department of Mathematics, University of Rangoon, Rangoon, Burma.

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Present address: Statistics Program, Department of Mathematics, University of California at Santa Barbara, Santa Barbara, CA 93106, USA.

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References

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Copson, E. T. (1962) Introduction to the Theory of Functions of a Complex Variable. Clarendon Press, Oxford.
Garg, R. L. and Khamma, S. K. (1983) Queue dependent additional server queueing problem with batch arrivals. RAIRO Rech. Operat. 17, 391398.
Singh, V. P. (1973) Queue dependent servers. J. Eng. Math. 7, 123126.
Whittle, P. (1983) Relaxed Markov processes. Adv. Appl. Prob. 15, 769782.

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On a class of continuous-time Markov processes

  • J. Gani (a1) and Pyke Tin (a2)

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