Busy-period analysis of a correlated queue with exponential demand and service-Reference-Cited by-同舟云学术

Busy-period analysis of a correlated queue with exponential demand and service

Published:1987-06 Issue:2 Volume:24 Page:476-485
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Langaris Christos

Abstract

In this paper we investigate the server's busy period in a single-server queueing situation in which the interarrival interval T preceding the arrival of a customer and his service time S are assumed correlated. A closed-form expression is obtained for the Laplace transform bn(z) of the joint probability and probability density function of the busy period duration and the number of customers served in it. Some numerical values are given showing the effect of correlation between T and S.

Publisher

Cambridge University Press (CUP)

Subject

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

Reference10 articles.

1. Queues with Partial Correlation

2. Further Results on Queues with Partial Correlation

3. The Waiting Time Process for a Certain Correlated Queue

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