Optimal QoS control of interacting service stations

Abdelkrim Haqiq; I. Lambadaris; N. Mikou; L. Orozco–Barbosa

RAIRO - Operations Research (2010)

  • Volume: 36, Issue: 3, page 191-208
  • ISSN: 0399-0559

Abstract

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We consider a system of three queues and two types of packets. Each packet arriving at this system finds in front of it a controller who either sends it in the first queue or rejects it according to a QoS criterion. When the packet finishes its service in the first queue, it is probabilistically routed to one of two other parallel queues. The objective is to minimize a QoS discounted cost over an infinite horizon. The cost function is composed of a waiting cost per packet in each queue and a rejection cost in the first queue. Subsequently, we generalize this problem by considering a system of (m+1) queues and n types of packets. We show that an optimal policy is monotonic.

How to cite

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Haqiq, Abdelkrim, et al. "Optimal QoS control of interacting service stations." RAIRO - Operations Research 36.3 (2010): 191-208. <http://eudml.org/doc/105270>.

@article{Haqiq2010,
abstract = { We consider a system of three queues and two types of packets. Each packet arriving at this system finds in front of it a controller who either sends it in the first queue or rejects it according to a QoS criterion. When the packet finishes its service in the first queue, it is probabilistically routed to one of two other parallel queues. The objective is to minimize a QoS discounted cost over an infinite horizon. The cost function is composed of a waiting cost per packet in each queue and a rejection cost in the first queue. Subsequently, we generalize this problem by considering a system of (m+1) queues and n types of packets. We show that an optimal policy is monotonic. },
author = {Haqiq, Abdelkrim, Lambadaris, I., Mikou, N., Orozco–Barbosa, L.},
journal = {RAIRO - Operations Research},
keywords = {Queues; flow control; dynamic programming; Policies; IP network.; queues; policies; IP network},
language = {eng},
month = {3},
number = {3},
pages = {191-208},
publisher = {EDP Sciences},
title = {Optimal QoS control of interacting service stations},
url = {http://eudml.org/doc/105270},
volume = {36},
year = {2010},
}

TY - JOUR
AU - Haqiq, Abdelkrim
AU - Lambadaris, I.
AU - Mikou, N.
AU - Orozco–Barbosa, L.
TI - Optimal QoS control of interacting service stations
JO - RAIRO - Operations Research
DA - 2010/3//
PB - EDP Sciences
VL - 36
IS - 3
SP - 191
EP - 208
AB - We consider a system of three queues and two types of packets. Each packet arriving at this system finds in front of it a controller who either sends it in the first queue or rejects it according to a QoS criterion. When the packet finishes its service in the first queue, it is probabilistically routed to one of two other parallel queues. The objective is to minimize a QoS discounted cost over an infinite horizon. The cost function is composed of a waiting cost per packet in each queue and a rejection cost in the first queue. Subsequently, we generalize this problem by considering a system of (m+1) queues and n types of packets. We show that an optimal policy is monotonic.
LA - eng
KW - Queues; flow control; dynamic programming; Policies; IP network.; queues; policies; IP network
UR - http://eudml.org/doc/105270
ER -

References

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