Using Cumulant Functions in Queueing Theory

Timothy Matis; Richard Feldman

doi:10.1023/A:1015053801129

Using Cumulant Functions in Queueing Theory

Timothy Matis, Richard Feldman

Industrial Engineering

Research output: Contribution to journal › Article

4 Scopus citations

Abstract

A new approach for obtaining the transient solution for the first and second moments of the system size in a finite capacity M/M/1 queueing systems is developed. The approach uses the cumulant generating function which has previously been used in the analysis of compartmental models but has not been used to analyze queueing systems.

Original language	English
Pages (from-to)	341-353
Number of pages	13
Journal	Queueing Systems
Volume	40
Issue number	4
DOIs	https://doi.org/10.1023/A:1015053801129
State	Published - 2002

Keywords

Cumulant generating functions
Queue
Transient solutions

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10.1023/A:1015053801129

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title = "Using Cumulant Functions in Queueing Theory",

abstract = "A new approach for obtaining the transient solution for the first and second moments of the system size in a finite capacity M/M/1 queueing systems is developed. The approach uses the cumulant generating function which has previously been used in the analysis of compartmental models but has not been used to analyze queueing systems.",

keywords = "Cumulant generating functions, Queue, Transient solutions",

author = "Timothy Matis and Richard Feldman",

note = "Funding Information: The first author was supported in part by an ARPA/ARO Grant #DAAH04-96-1-0223.",

year = "2002",

doi = "10.1023/A:1015053801129",

language = "English",

volume = "40",

pages = "341--353",

journal = "Queueing Systems",

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T1 - Using Cumulant Functions in Queueing Theory

AU - Matis, Timothy

AU - Feldman, Richard

N1 - Funding Information: The first author was supported in part by an ARPA/ARO Grant #DAAH04-96-1-0223.

PY - 2002

Y1 - 2002

N2 - A new approach for obtaining the transient solution for the first and second moments of the system size in a finite capacity M/M/1 queueing systems is developed. The approach uses the cumulant generating function which has previously been used in the analysis of compartmental models but has not been used to analyze queueing systems.

AB - A new approach for obtaining the transient solution for the first and second moments of the system size in a finite capacity M/M/1 queueing systems is developed. The approach uses the cumulant generating function which has previously been used in the analysis of compartmental models but has not been used to analyze queueing systems.

KW - Cumulant generating functions

KW - Queue

KW - Transient solutions

UR - http://www.scopus.com/inward/record.url?scp=0036280464&partnerID=8YFLogxK

U2 - 10.1023/A:1015053801129

DO - 10.1023/A:1015053801129

M3 - Article

VL - 40

SP - 341

EP - 353

JO - Queueing Systems

JF - Queueing Systems

IS - 4

ER -

Using Cumulant Functions in Queueing Theory

Abstract

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