The symmetric longest queue system

Geert-Jan van Houtum, Ivo Adan, Jan van der Wal

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

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Abstract

We derive the performance of the exponential symmetric longest queue system from two variants: a longest queue system with Threshold Rejection of jobs and one with Threshold Addition of jobs. It is shown that these two systems provide lower and upper bounds for the performance of the longest queue system. Both variants can be analyzed efficiently. Numerical experiments demonstrate the power of the approach
Original languageEnglish
Pages (from-to)105-120
JournalCommunications in statistics : Stochastic models
Volume13
Issue number1
DOIs
Publication statusPublished - 1997

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Queue
Experiments
Rejection
Upper and Lower Bounds
Numerical Experiment
Demonstrate

Keywords

  • METIS-206042
  • IR-101674

Cite this

van Houtum, Geert-Jan ; Adan, Ivo ; van der Wal, Jan. / The symmetric longest queue system. In: Communications in statistics : Stochastic models. 1997 ; Vol. 13, No. 1. pp. 105-120.
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van Houtum, G-J, Adan, I & van der Wal, J 1997, 'The symmetric longest queue system' Communications in statistics : Stochastic models, vol. 13, no. 1, pp. 105-120. https://doi.org/10.1080/15326349708807416

The symmetric longest queue system. / van Houtum, Geert-Jan; Adan, Ivo; van der Wal, Jan.

In: Communications in statistics : Stochastic models, Vol. 13, No. 1, 1997, p. 105-120.

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

TY - JOUR

T1 - The symmetric longest queue system

AU - van Houtum, Geert-Jan

AU - Adan, Ivo

AU - van der Wal, Jan

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N2 - We derive the performance of the exponential symmetric longest queue system from two variants: a longest queue system with Threshold Rejection of jobs and one with Threshold Addition of jobs. It is shown that these two systems provide lower and upper bounds for the performance of the longest queue system. Both variants can be analyzed efficiently. Numerical experiments demonstrate the power of the approach

AB - We derive the performance of the exponential symmetric longest queue system from two variants: a longest queue system with Threshold Rejection of jobs and one with Threshold Addition of jobs. It is shown that these two systems provide lower and upper bounds for the performance of the longest queue system. Both variants can be analyzed efficiently. Numerical experiments demonstrate the power of the approach

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KW - IR-101674

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DO - 10.1080/15326349708807416

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JF - Stochastic models

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van Houtum G-J, Adan I, van der Wal J. The symmetric longest queue system. Communications in statistics : Stochastic models. 1997;13(1):105-120. https://doi.org/10.1080/15326349708807416

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