Busy periods of Poisson arrival queues with loss

Sunggon Kim; Jongho Bae; Eui Yong Lee

doi:10.1023/A:1012700718302

Busy periods of Poisson arrival queues with loss

Sunggon Kim, Jongho Bae, Eui Yong Lee

Department of Statistics

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

10 Scopus citations

Abstract

We consider two queues with loss, one is the finite dam with Poisson arrivals and the other is the M/G/1 queue with impatient customers. We use the method of Kolmogorov's backward differential equation and construct a type of renewal equation to obtain the Laplace transform of busy(or wet) period in both queues. As a consequence, we provide the explicit forms of expected busy periods.

Original language	English
Pages (from-to)	201-212
Number of pages	12
Journal	Queueing Systems
Volume	39
Issue number	2-3
DOIs	https://doi.org/10.1023/A:1012700718302
State	Published - Oct 2001

Keywords

Busy period
Finite dam
Impatient customer
M/G/1 queue

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10.1023/A:1012700718302

Cite this

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title = "Busy periods of Poisson arrival queues with loss",

abstract = "We consider two queues with loss, one is the finite dam with Poisson arrivals and the other is the M/G/1 queue with impatient customers. We use the method of Kolmogorov's backward differential equation and construct a type of renewal equation to obtain the Laplace transform of busy(or wet) period in both queues. As a consequence, we provide the explicit forms of expected busy periods.",

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AU - Kim, Sunggon

AU - Bae, Jongho

AU - Lee, Eui Yong

PY - 2001/10

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N2 - We consider two queues with loss, one is the finite dam with Poisson arrivals and the other is the M/G/1 queue with impatient customers. We use the method of Kolmogorov's backward differential equation and construct a type of renewal equation to obtain the Laplace transform of busy(or wet) period in both queues. As a consequence, we provide the explicit forms of expected busy periods.

AB - We consider two queues with loss, one is the finite dam with Poisson arrivals and the other is the M/G/1 queue with impatient customers. We use the method of Kolmogorov's backward differential equation and construct a type of renewal equation to obtain the Laplace transform of busy(or wet) period in both queues. As a consequence, we provide the explicit forms of expected busy periods.

KW - Busy period

KW - Finite dam

KW - Impatient customer

KW - M/G/1 queue

UR - https://www.scopus.com/pages/publications/0035542370

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DO - 10.1023/A:1012700718302

M3 - Article

AN - SCOPUS:0035542370

SN - 0257-0130

VL - 39

SP - 201

EP - 212

JO - Queueing Systems

JF - Queueing Systems

IS - 2-3

ER -

Busy periods of Poisson arrival queues with loss

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Keywords

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