The Trivariate Distribution of the Maximum Queue Length, the Number of Customers Served and the Duration of the Busy Period for the M/G/1 Queueing System-Reference-Cited by-同舟云学术

The Trivariate Distribution of the Maximum Queue Length, the Number of Customers Served and the Duration of the Busy Period for the M/G/1 Queueing System

Published:1969-04 Issue:1 Volume:6 Page:154-161
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Enns E.G.

Abstract

In the study of the busy period for a single server queueing system, three variables that have been investigated individually or at most in pairs are:

1.The duration of the busy period.

2.The number of customers served during the busy period.

3.The maximum number of customers in the queue during the busy period.

Publisher

Cambridge University Press (CUP)

Subject

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

Reference7 articles.

1. The distribution of the maximum number of customers present simultaneously during a busy period for the queueing systems M/G/1 and G/M/1

2. The Distribution of the Maximum Length of a Poisson Queue During a Busy Period

3. ON THE MAXIMA OF ABSORBING MARKOV CHAINS

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