MAP/M/c queue with constant impatient time

Bong Dae Choi; Bara Kim; Dongbi Zhu

doi:10.1287/moor.1030.0081

MAP/M/c queue with constant impatient time

Bong Dae Choi, Bara Kim, Dongbi Zhu

Department of Mathematics

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

33 Citations (Scopus)

Abstract

We consider a MAP/M/c queue where a customer who cannot begin to receive his service for a fixed time is lost. We find a simple Markov process by using a concept of virtual waiting time and then obtain the stationary distribution of the Markov process. We find several performance measures such as loss probability, waiting time distribution, mean waiting time, and mean queue size by using the results of the stationary distribution of the Markov process.

Original language	English
Pages (from-to)	309-325
Number of pages	17
Journal	Mathematics of Operations Research
Volume	29
Issue number	2
DOIs	https://doi.org/10.1287/moor.1030.0081
Publication status	Published - 2004 May

Keywords

Constant impatient time
Impatient customer
Loss probability
MAP/M/c queue
Markov process
Matrix quadratic equation
Mean queue size
Waiting time distribution

ASJC Scopus subject areas

General Mathematics
Computer Science Applications
Management Science and Operations Research

Access to Document

10.1287/moor.1030.0081

Cite this

@article{c03d6e59a3a34bf99acb864879e99c7c,

title = "MAP/M/c queue with constant impatient time",

abstract = "We consider a MAP/M/c queue where a customer who cannot begin to receive his service for a fixed time is lost. We find a simple Markov process by using a concept of virtual waiting time and then obtain the stationary distribution of the Markov process. We find several performance measures such as loss probability, waiting time distribution, mean waiting time, and mean queue size by using the results of the stationary distribution of the Markov process.",

keywords = "Constant impatient time, Impatient customer, Loss probability, MAP/M/c queue, Markov process, Matrix quadratic equation, Mean queue size, Waiting time distribution",

author = "Choi, {Bong Dae} and Bara Kim and Dongbi Zhu",

year = "2004",

month = may,

doi = "10.1287/moor.1030.0081",

language = "English",

volume = "29",

pages = "309--325",

journal = "Mathematics of Operations Research",

issn = "0364-765X",

publisher = "INFORMS Institute for Operations Research and the Management Sciences",

number = "2",

}

TY - JOUR

T1 - MAP/M/c queue with constant impatient time

AU - Choi, Bong Dae

AU - Kim, Bara

AU - Zhu, Dongbi

PY - 2004/5

Y1 - 2004/5

N2 - We consider a MAP/M/c queue where a customer who cannot begin to receive his service for a fixed time is lost. We find a simple Markov process by using a concept of virtual waiting time and then obtain the stationary distribution of the Markov process. We find several performance measures such as loss probability, waiting time distribution, mean waiting time, and mean queue size by using the results of the stationary distribution of the Markov process.

AB - We consider a MAP/M/c queue where a customer who cannot begin to receive his service for a fixed time is lost. We find a simple Markov process by using a concept of virtual waiting time and then obtain the stationary distribution of the Markov process. We find several performance measures such as loss probability, waiting time distribution, mean waiting time, and mean queue size by using the results of the stationary distribution of the Markov process.

KW - Constant impatient time

KW - Impatient customer

KW - Loss probability

KW - MAP/M/c queue

KW - Markov process

KW - Matrix quadratic equation

KW - Mean queue size

KW - Waiting time distribution

UR - http://www.scopus.com/inward/record.url?scp=4043088369&partnerID=8YFLogxK

U2 - 10.1287/moor.1030.0081

DO - 10.1287/moor.1030.0081

M3 - Article

AN - SCOPUS:4043088369

SN - 0364-765X

VL - 29

SP - 309

EP - 325

JO - Mathematics of Operations Research

JF - Mathematics of Operations Research

IS - 2

ER -

MAP/M/c queue with constant impatient time

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this