Aspects of Impatience in a Finite Buffer Queue

Medhi Pallabi; Amit Choudhury

RAIRO - Operations Research (2012)

  • Volume: 46, Issue: 3, page 189-209
  • ISSN: 0399-0559

Abstract

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In a multi server queuing system, buffer size is often larger than the number of servers. This necessitates queuing and waiting for some customers. Customers become impatient while waiting for service. Additionally, they may also become impatient if service is not offered at the desired rate. This paper analyses a finite buffer multi server queuing system with the additional restriction that customers may balk as well as renege. Closed form expressions of a number of performance measures are presented. A design problem is discussed to demonstrate the results derived.

How to cite

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Pallabi, Medhi, and Choudhury, Amit. "Aspects of Impatience in a Finite Buffer Queue." RAIRO - Operations Research 46.3 (2012): 189-209. <http://eudml.org/doc/222498>.

@article{Pallabi2012,
abstract = {In a multi server queuing system, buffer size is often larger than the number of servers. This necessitates queuing and waiting for some customers. Customers become impatient while waiting for service. Additionally, they may also become impatient if service is not offered at the desired rate. This paper analyses a finite buffer multi server queuing system with the additional restriction that customers may balk as well as renege. Closed form expressions of a number of performance measures are presented. A design problem is discussed to demonstrate the results derived.},
author = {Pallabi, Medhi, Choudhury, Amit},
journal = {RAIRO - Operations Research},
keywords = {Balking; finite Buffer; impatience; reneging; queuing; balking; finite buffer},
language = {eng},
month = {9},
number = {3},
pages = {189-209},
publisher = {EDP Sciences},
title = {Aspects of Impatience in a Finite Buffer Queue},
url = {http://eudml.org/doc/222498},
volume = {46},
year = {2012},
}

TY - JOUR
AU - Pallabi, Medhi
AU - Choudhury, Amit
TI - Aspects of Impatience in a Finite Buffer Queue
JO - RAIRO - Operations Research
DA - 2012/9//
PB - EDP Sciences
VL - 46
IS - 3
SP - 189
EP - 209
AB - In a multi server queuing system, buffer size is often larger than the number of servers. This necessitates queuing and waiting for some customers. Customers become impatient while waiting for service. Additionally, they may also become impatient if service is not offered at the desired rate. This paper analyses a finite buffer multi server queuing system with the additional restriction that customers may balk as well as renege. Closed form expressions of a number of performance measures are presented. A design problem is discussed to demonstrate the results derived.
LA - eng
KW - Balking; finite Buffer; impatience; reneging; queuing; balking; finite buffer
UR - http://eudml.org/doc/222498
ER -

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