A queueing system with Markov-dependent arrivals

Author:

Tin Pyke

Abstract

This paper considers a single-server queueing system with Markov-dependent interarrival times, with special reference to the serial correlation coefficient of the arrival process. The queue size and waiting-time processes are investigated. Both transient and limiting results are given.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference12 articles.

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3. A stochastic process whose successive intervals between events form a first order Markov chain — I;Lampard;J. Appl. Prob.,1968

4. The solution of a functional equation;Read;Proc. R. Soc. Edinburgh,1952

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