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ArticleOn the maximum of the queue GI/M/1

C. R. Heathcote1965

Article1965

On the maximum of the queue GI/M/1

C. R. Heathcote

15 citations·0/0 files stored·Journal of Applied Probability

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

Abstract

Suppose X 1, X 2, X3,… are independent and identically distributed positive nonlattice random variables with common distribution function F(x).

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References

1963Introduction to the Theory of Queues.1951Some Problems in the Theory of Queues

Cited by

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 1980A Duality Theorem for Phase Type Queues 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 1969The Trivariate Distribution of the Maximum Queue Length, the Number of Customers Served and the Duration of the Busy Period for theM/G/1 Queueing System 1969The 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

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2005The BMAP/G/1 queue: A tutorialother · 2 shared references 1967The Analysis of Simulation-Generated Time Seriesarticle · 2 shared references 2002Analysis, Design, and Control of Queueing Systemsarticle · 2 shared references 1994The transient BMAP/G/l queuearticle · 2 shared references 2007Processor sharing: A survey of the mathematical theoryarticle · 2 shared references 1971A queue subject to extraneous phase changesarticle · 2 shared references

Details

Year1965

Typearticle

Published1965-06-01

VenueJournal of Applied Probability

ISSN-L0021-9002

Languageen

Citations15

Files0 public / 0

ShelfAdvanced Queuing Theory Analysis

Identifiers

doi10.1017/s0021900200031697

openalex_workW2320223151

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