Asymptotic behavior of loss probability in GI/M/1/K queue as K tends to infinity *

Bong Dae Choi; Bara Kim; In Suk Wee

doi:10.1023/A:1011045621441

Asymptotic behavior of loss probability in GI/M/1/K queue as K tends to infinity *

Bong Dae Choi, Bara Kim, In Suk Wee

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

29 Citations (Scopus)

Abstract

We obtain an asymptotic behavior of the loss probability for the GI/M/1/K queue as K → ∞ for cases of ρ < 1, ρ > 1 and ρ = 1.

Original language	English
Pages (from-to)	437-442
Number of pages	6
Journal	Queueing Systems
Volume	36
Issue number	4
DOIs	https://doi.org/10.1023/A:1011045621441
Publication status	Published - 2000 Dec

Keywords

Asymptotic behavior of loss probability
Duality in queues
GI/M/1/K queue
M/G/1/K queue
Stationary measure

ASJC Scopus subject areas

Statistics and Probability
Computer Science Applications
Management Science and Operations Research
Computational Theory and Mathematics

Access to Document

10.1023/A:1011045621441

Cite this

@article{9302192ecd0341339447665c862b1d62,

title = "Asymptotic behavior of loss probability in GI/M/1/K queue as K tends to infinity *",

abstract = "We obtain an asymptotic behavior of the loss probability for the GI/M/1/K queue as K → ∞ for cases of ρ < 1, ρ > 1 and ρ = 1.",

keywords = "Asymptotic behavior of loss probability, Duality in queues, GI/M/1/K queue, M/G/1/K queue, Stationary measure",

author = "Choi, {Bong Dae} and Bara Kim and Wee, {In Suk}",

year = "2000",

month = dec,

doi = "10.1023/A:1011045621441",

language = "English",

volume = "36",

pages = "437--442",

journal = "Queueing Systems",

issn = "0257-0130",

publisher = "Springer Netherlands",

number = "4",

}

TY - JOUR

T1 - Asymptotic behavior of loss probability in GI/M/1/K queue as K tends to infinity *

AU - Choi, Bong Dae

AU - Kim, Bara

AU - Wee, In Suk

PY - 2000/12

Y1 - 2000/12

N2 - We obtain an asymptotic behavior of the loss probability for the GI/M/1/K queue as K → ∞ for cases of ρ < 1, ρ > 1 and ρ = 1.

AB - We obtain an asymptotic behavior of the loss probability for the GI/M/1/K queue as K → ∞ for cases of ρ < 1, ρ > 1 and ρ = 1.

KW - Asymptotic behavior of loss probability

KW - Duality in queues

KW - GI/M/1/K queue

KW - M/G/1/K queue

KW - Stationary measure

UR - http://www.scopus.com/inward/record.url?scp=0034346393&partnerID=8YFLogxK

U2 - 10.1023/A:1011045621441

DO - 10.1023/A:1011045621441

M3 - Article

AN - SCOPUS:0034346393

SN - 0257-0130

VL - 36

SP - 437

EP - 442

JO - Queueing Systems

JF - Queueing Systems

IS - 4

ER -

Asymptotic behavior of loss probability in GI/M/1/K queue as K tends to infinity *

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this