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

Seoul National University
Sookmyung Women's University

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

31 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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title = "The virtual waiting time of the M/G/1 queue with impatient customers",

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.",

keywords = "Busy period, Impatient customer, M/G/1 queue, Virtual waiting time",

author = "Jongho Bae and Sunggon Kim and Lee, \{Eui Yong\}",

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AU - Kim, Sunggon

AU - Lee, Eui Yong

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KW - Busy period

KW - Impatient customer

KW - M/G/1 queue

KW - Virtual waiting time

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DO - 10.1023/A:1010956213680

M3 - Article

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SP - 485

EP - 494

JO - Queueing Systems

JF - Queueing Systems

IS - 4

ER -

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

Abstract

Keywords

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