Global and local asymptotics for the busy period of an M/G/1 queue

Denis Denisov; Vsevolod Shneer

doi:10.1007/s11134-010-9167-0

Global and local asymptotics for the busy period of an M/G/1 queue

Denis Denisov, Vsevolod Shneer

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

3 Citations (Scopus)

Abstract

We consider an M/G/1 queue with subexponential service times. We give a simple derivation of the global and local asymptotics for the busy period. Our analysis relies on the explicit formula for the joint distribution for the number of customers and the length of the busy period of an M/G/1 queue. © 2010 The Author(s).

Original language	English
Pages (from-to)	383-393
Number of pages	11
Journal	Queueing Systems
Volume	64
Issue number	4
DOIs	https://doi.org/10.1007/s11134-010-9167-0
Publication status	Published - 1 Apr 2010

Keywords

Busy cycle
Busy period
Heavy-tailed distributions

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title = "Global and local asymptotics for the busy period of an M/G/1 queue",

abstract = "We consider an M/G/1 queue with subexponential service times. We give a simple derivation of the global and local asymptotics for the busy period. Our analysis relies on the explicit formula for the joint distribution for the number of customers and the length of the busy period of an M/G/1 queue. {\textcopyright} 2010 The Author(s).",

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AU - Denisov, Denis

AU - Shneer, Vsevolod

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N2 - We consider an M/G/1 queue with subexponential service times. We give a simple derivation of the global and local asymptotics for the busy period. Our analysis relies on the explicit formula for the joint distribution for the number of customers and the length of the busy period of an M/G/1 queue. © 2010 The Author(s).

AB - We consider an M/G/1 queue with subexponential service times. We give a simple derivation of the global and local asymptotics for the busy period. Our analysis relies on the explicit formula for the joint distribution for the number of customers and the length of the busy period of an M/G/1 queue. © 2010 The Author(s).

KW - Busy cycle

KW - Busy period

KW - Heavy-tailed distributions

U2 - 10.1007/s11134-010-9167-0

DO - 10.1007/s11134-010-9167-0

M3 - Article

SN - 0257-0130

VL - 64

SP - 383

EP - 393

JO - Queueing Systems

JF - Queueing Systems

IS - 4

ER -

Global and local asymptotics for the busy period of an M/G/1 queue

Abstract

Keywords

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