Exact tail asymptotics for the M/M/m retrial queue with nonpersistent customers

Bara Kim; Jeongsim Kim

doi:10.1016/j.orl.2012.09.004

Exact tail asymptotics for the M/M/m retrial queue with nonpersistent customers

Bara Kim, Jeongsim Kim

Department of Mathematics

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

12 Citations (Scopus)

Abstract

We consider the M/M/m retrial queue with nonpersistent customers. Liu et al. (2011) [12] provided the asymptotic lower and upper bounds for the stationary distribution of the number of customers in the orbit. In this paper we strengthen Liu, Wang and Zhao's result by finding the exact tail asymptotic formula.

Original language	English
Pages (from-to)	537-540
Number of pages	4
Journal	Operations Research Letters
Volume	40
Issue number	6
DOIs	https://doi.org/10.1016/j.orl.2012.09.004
Publication status	Published - 2012 Nov

Bibliographical note

Funding Information:
B. Kim’s research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology ( 2011-0004133 ). J. Kim’s research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology ( 2012-0004219 ).

Keywords

Karamata's Tauberian theorem
M/M/m retrial queue
Nonpersistent customers
Tail asymptotics

ASJC Scopus subject areas

Software
Management Science and Operations Research
Industrial and Manufacturing Engineering
Applied Mathematics

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10.1016/j.orl.2012.09.004

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title = "Exact tail asymptotics for the M/M/m retrial queue with nonpersistent customers",

abstract = "We consider the M/M/m retrial queue with nonpersistent customers. Liu et al. (2011) [12] provided the asymptotic lower and upper bounds for the stationary distribution of the number of customers in the orbit. In this paper we strengthen Liu, Wang and Zhao's result by finding the exact tail asymptotic formula.",

keywords = "Karamata's Tauberian theorem, M/M/m retrial queue, Nonpersistent customers, Tail asymptotics",

author = "Bara Kim and Jeongsim Kim",

note = "Funding Information: B. Kim{\textquoteright}s research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology ( 2011-0004133 ). J. Kim{\textquoteright}s research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology ( 2012-0004219 ).",

year = "2012",

month = nov,

doi = "10.1016/j.orl.2012.09.004",

language = "English",

volume = "40",

pages = "537--540",

journal = "Operations Research Letters",

issn = "0167-6377",

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T1 - Exact tail asymptotics for the M/M/m retrial queue with nonpersistent customers

AU - Kim, Bara

AU - Kim, Jeongsim

N1 - Funding Information: B. Kim’s research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology ( 2011-0004133 ). J. Kim’s research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology ( 2012-0004219 ).

PY - 2012/11

Y1 - 2012/11

N2 - We consider the M/M/m retrial queue with nonpersistent customers. Liu et al. (2011) [12] provided the asymptotic lower and upper bounds for the stationary distribution of the number of customers in the orbit. In this paper we strengthen Liu, Wang and Zhao's result by finding the exact tail asymptotic formula.

AB - We consider the M/M/m retrial queue with nonpersistent customers. Liu et al. (2011) [12] provided the asymptotic lower and upper bounds for the stationary distribution of the number of customers in the orbit. In this paper we strengthen Liu, Wang and Zhao's result by finding the exact tail asymptotic formula.

KW - Karamata's Tauberian theorem

KW - M/M/m retrial queue

KW - Nonpersistent customers

KW - Tail asymptotics

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U2 - 10.1016/j.orl.2012.09.004

DO - 10.1016/j.orl.2012.09.004

M3 - Article

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SN - 0167-6377

VL - 40

SP - 537

EP - 540

JO - Operations Research Letters

JF - Operations Research Letters

IS - 6

ER -

Exact tail asymptotics for the M/M/m retrial queue with nonpersistent customers

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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