On main characteristics of the M / M / 1 / N queue with single and batch arrivals and the queue size controlled by AQM algorithms

Wojciech M. Kempa

Kybernetika (2011)

  • Volume: 47, Issue: 6, page 930-943
  • ISSN: 0023-5954

Abstract

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In the article finite-buffer queueing systems of the M / M / 1 / N type with queue size controlled by AQM algorithms are considered, separately for single and batch arrivals. In the latter case two different acceptance strategies: WBAS (Whole Batch Acceptance Strategy) and PBAS (Partial Batch Acceptance Strategy) are distinguished. Three essential characteristics of the system are investigated: the stationary queue-size distribution, the number of consecutively dropped packets (batches of packets) and the time between two successive accepted packets (batches of packets). For these characteristics the formulae which can be easily numerically treated are derived. Numerical results obtained for three sample dropping functions are attached as well.

How to cite

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Kempa, Wojciech M.. "On main characteristics of the $M/M/1/N$ queue with single and batch arrivals and the queue size controlled by AQM algorithms." Kybernetika 47.6 (2011): 930-943. <http://eudml.org/doc/196607>.

@article{Kempa2011,
abstract = {In the article finite-buffer queueing systems of the $M/M/1/N$ type with queue size controlled by AQM algorithms are considered, separately for single and batch arrivals. In the latter case two different acceptance strategies: WBAS (Whole Batch Acceptance Strategy) and PBAS (Partial Batch Acceptance Strategy) are distinguished. Three essential characteristics of the system are investigated: the stationary queue-size distribution, the number of consecutively dropped packets (batches of packets) and the time between two successive accepted packets (batches of packets). For these characteristics the formulae which can be easily numerically treated are derived. Numerical results obtained for three sample dropping functions are attached as well.},
author = {Kempa, Wojciech M.},
journal = {Kybernetika},
keywords = {active queue management (AQM); drop function; finite buffer; queue size; drop function; finite buffer; queue size; active queue management (AQM)},
language = {eng},
number = {6},
pages = {930-943},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On main characteristics of the $M/M/1/N$ queue with single and batch arrivals and the queue size controlled by AQM algorithms},
url = {http://eudml.org/doc/196607},
volume = {47},
year = {2011},
}

TY - JOUR
AU - Kempa, Wojciech M.
TI - On main characteristics of the $M/M/1/N$ queue with single and batch arrivals and the queue size controlled by AQM algorithms
JO - Kybernetika
PY - 2011
PB - Institute of Information Theory and Automation AS CR
VL - 47
IS - 6
SP - 930
EP - 943
AB - In the article finite-buffer queueing systems of the $M/M/1/N$ type with queue size controlled by AQM algorithms are considered, separately for single and batch arrivals. In the latter case two different acceptance strategies: WBAS (Whole Batch Acceptance Strategy) and PBAS (Partial Batch Acceptance Strategy) are distinguished. Three essential characteristics of the system are investigated: the stationary queue-size distribution, the number of consecutively dropped packets (batches of packets) and the time between two successive accepted packets (batches of packets). For these characteristics the formulae which can be easily numerically treated are derived. Numerical results obtained for three sample dropping functions are attached as well.
LA - eng
KW - active queue management (AQM); drop function; finite buffer; queue size; drop function; finite buffer; queue size; active queue management (AQM)
UR - http://eudml.org/doc/196607
ER -

References

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