# Analysis of AQM queues with queue size based packet dropping

Andrzej Chydziński; Łukasz Chróst

International Journal of Applied Mathematics and Computer Science (2011)

- Volume: 21, Issue: 3, page 567-577
- ISSN: 1641-876X

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topAndrzej Chydziński, and Łukasz Chróst. "Analysis of AQM queues with queue size based packet dropping." International Journal of Applied Mathematics and Computer Science 21.3 (2011): 567-577. <http://eudml.org/doc/208071>.

@article{AndrzejChydziński2011,

abstract = {Queueing systems in which an arriving job is blocked and lost with a probability that depends on the queue size are studied. The study is motivated by the popularity of Active Queue Management (AQM) algorithms proposed for packet queueing in Internet routers. AQM algorithms often exploit the idea of queue-size based packet dropping. The main results include analytical solutions for queue size distribution, loss ratio and throughput. The analytical results are illustrated via numerical examples that include some commonly used blocking probabilities (dropping functions).},

author = {Andrzej Chydziński, Łukasz Chróst},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {single-server queue; packet dropping; queue size distribution; active queue management},

language = {eng},

number = {3},

pages = {567-577},

title = {Analysis of AQM queues with queue size based packet dropping},

url = {http://eudml.org/doc/208071},

volume = {21},

year = {2011},

}

TY - JOUR

AU - Andrzej Chydziński

AU - Łukasz Chróst

TI - Analysis of AQM queues with queue size based packet dropping

JO - International Journal of Applied Mathematics and Computer Science

PY - 2011

VL - 21

IS - 3

SP - 567

EP - 577

AB - Queueing systems in which an arriving job is blocked and lost with a probability that depends on the queue size are studied. The study is motivated by the popularity of Active Queue Management (AQM) algorithms proposed for packet queueing in Internet routers. AQM algorithms often exploit the idea of queue-size based packet dropping. The main results include analytical solutions for queue size distribution, loss ratio and throughput. The analytical results are illustrated via numerical examples that include some commonly used blocking probabilities (dropping functions).

LA - eng

KW - single-server queue; packet dropping; queue size distribution; active queue management

UR - http://eudml.org/doc/208071

ER -

## References

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- Marcin Woźniak, Wojciech M. Kempa, Marcin Gabryel, Robert K. Nowicki, A finite-buffer queue with a single vacation policy: an analytical study with evolutionary positioning

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