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

E. G. Enns

11 citations0/0 files storedJournal of Applied Probability

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Advanced Queuing Theory Analysis Probability and Statistical Research Probability and Risk Models

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.

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1963Introduction to the Theory of Queues.1964The Distribution of the Maximum Length of a Poisson Queue During a Busy Period 1965On the maximum of the queue GI/M/1 1967The distribution of the maximum number of customers present simultaneously during a busy period for the queueing systems M/G/1 and G/M/1 1967The distribution of the maximum number of customers present simultaneously during a busy period for the queueing systems M/G/1 and G/M/1

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