A batch arrival MX / M / c queue with impatient customers

Bara Kim, Jeongsim Kim

Research output: Contribution to journal › Article

4 Citations (Scopus)

Abstract

This paper considers a multi-server batch arrival MX/M/c queue with impatient customers. We give an exact expression for the loss probability, which can be expressed in terms of the waiting time distribution in the standard MX/M/c queue with no impatience. This solves the problem conjectured by Boots and Tijms (1999).

Original languageEnglish
Pages (from-to)180-185
Number of pages6
JournalOperations Research Letters
Volume42
Issue number2
DOIs
Publication statusPublished - 2014 Mar 1

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Batch Arrivals
Queue
Servers
Customers
Multi-server
Loss Probability
Waiting Time Distribution
Batch
Standards
Waiting time
Impatience

Keywords

  • / M / c queue
  • Impatient customers
  • Loss probability

ASJC Scopus subject areas

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

Cite this

A batch arrival MX / M / c queue with impatient customers. / Kim, Bara; Kim, Jeongsim.

In: Operations Research Letters, Vol. 42, No. 2, 01.03.2014, p. 180-185.

Research output: Contribution to journal › Article

Kim, B & Kim, J 2014, 'A batch arrival MX / M / c queue with impatient customers', Operations Research Letters, vol. 42, no. 2, pp. 180-185. https://doi.org/10.1016/j.orl.2014.02.001
Kim B, Kim J. A batch arrival MX / M / c queue with impatient customers. Operations Research Letters. 2014 Mar 1;42(2):180-185. https://doi.org/10.1016/j.orl.2014.02.001
Kim, Bara ; Kim, Jeongsim. / A batch arrival MX / M / c queue with impatient customers. In: Operations Research Letters. 2014 ; Vol. 42, No. 2. pp. 180-185.
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