The busy period of an M/G/1 queue with customer impatience

Onno Boxma; David Perry; Wolfgang Stadje; Shelley Zacks

doi:10.1239/jap/1269610821

The busy period of an M/G/1 queue with customer impatience

Onno Boxma, David Perry, Wolfgang Stadje, Shelley Zacks

Department of Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

WWe consider an M/G/1 queue in which an arriving customer does not enter the system whenever its virtual waiting time, i.e. the amount of work seen upon arrival, is larger than a certain random patience time. We determine the busy period distribution for various choices of the patience time distribution. The main cases under consideration are exponential patience and a discrete patience distribution.

Original language	English
Pages (from-to)	130-145
Number of pages	16
Journal	Journal of Applied Probability
Volume	47
Issue number	1
DOIs	https://doi.org/10.1239/jap/1269610821
State	Published - 1 Jan 2010

Keywords

Busy period
Impatience
M/G/1 queue
Virtual waiting time

ASJC Scopus subject areas

Statistics and Probability
General Mathematics
Statistics, Probability and Uncertainty

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10.1239/jap/1269610821

Cite this

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The busy period of an M/G/1 queue with customer impatience

Abstract

Keywords

ASJC Scopus subject areas

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