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 journalArticle

27 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 languageEnglish
Pages (from-to)437-442
Number of pages6
JournalQueueing Systems
Volume36
Issue number4
Publication statusPublished - 2000 Dec 1

Fingerprint

Asymptotic behavior
Queue

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

  • Computational Theory and Mathematics
  • Computer Science Applications
  • Management Science and Operations Research

Cite this

Asymptotic behavior of loss probability in GI/M/1/K queue as K tends to infinity *. / Choi, Bong Dae; Kim, Bara; Wee, In-Suk.

In: Queueing Systems, Vol. 36, No. 4, 01.12.2000, p. 437-442.

Research output: Contribution to journalArticle

@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 In-Suk Wee",
year = "2000",
month = "12",
day = "1",
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 - 2000/12/1

Y1 - 2000/12/1

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

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

M3 - Article

AN - SCOPUS:0034346393

VL - 36

SP - 437

EP - 442

JO - Queueing Systems

JF - Queueing Systems

SN - 0257-0130

IS - 4

ER -