The virtual waiting time of the M/G/1 queue with impatient customers

Jongho Bae; Sunggon Kim; Eui Yong Lee

doi:10.1023/A:1010956213680

The virtual waiting time of the M/G/1 queue with impatient customers

Jongho Bae, Sunggon Kim, Eui Yong Lee

Department of Statistics

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

30 Scopus citations

Abstract

The M/G/1 queue with impatient customers is studied. The complete formula of the limiting distribution of the virtual waiting time is derived explicitly. The expected busy period of the queue is also obtained by using a martingale argument.

Original language	English
Pages (from-to)	485-494
Number of pages	10
Journal	Queueing Systems
Volume	38
Issue number	4
DOIs	https://doi.org/10.1023/A:1010956213680
State	Published - Aug 2001

Keywords

Busy period
Impatient customer
M/G/1 queue
Virtual waiting time

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10.1023/A:1010956213680

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abstract = "The M/G/1 queue with impatient customers is studied. The complete formula of the limiting distribution of the virtual waiting time is derived explicitly. The expected busy period of the queue is also obtained by using a martingale argument.",

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KW - Impatient customer

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The virtual waiting time of the M/G/1 queue with impatient customers

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Keywords

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