A queueing system with Markov-dependent arrivals-Reference-Cited by-同舟云学术

A queueing system with Markov-dependent arrivals

Published:1985-09 Issue:03 Volume:22 Page:668-677
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:J. Appl. Probab.

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

Reference11 articles.

1. Note on the reversible counters system of Lampard

2. Some approximate results in renewal and dam theories

3. A Queueing system with general moving average input and negative exponential service time

4. A stochastic process whose successive intervals between events form a first order Markov chain — I

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