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
- 1 April 1969
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 6 (01) , 154-161
- https://doi.org/10.1017/s0021900200032599
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.Keywords
This publication has 4 references indexed in Scilit:
- ON THE MAXIMA OF ABSORBING MARKOV CHAINSAustralian Journal of Statistics, 1967
- The distribution of the maximum number of customers present simultaneously during a busy period for the queueing systems M/G/1 and G/M/1Journal of Applied Probability, 1967
- On the maximum of the queueGI/M/1Journal of Applied Probability, 1965
- The Distribution of the Maximum Length of a Poisson Queue During a Busy PeriodOperations Research, 1964