# Joint queue-perturbed and weakly coupled power control for wireless backbone networks

Thomas Otieno Olwal; Karim Djouani; Okuthe P. Kogeda; Barend Jacobus van Wyk

International Journal of Applied Mathematics and Computer Science (2012)

- Volume: 22, Issue: 3, page 749-764
- ISSN: 1641-876X

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topThomas Otieno Olwal, et al. "Joint queue-perturbed and weakly coupled power control for wireless backbone networks." International Journal of Applied Mathematics and Computer Science 22.3 (2012): 749-764. <http://eudml.org/doc/244051>.

@article{ThomasOtienoOlwal2012,

abstract = {Wireless Backbone Networks (WBNs) equipped with Multi-Radio Multi-Channel (MRMC) configurations do experience power control problems such as the inter-channel and co-channel interference, high energy consumption at multiple queues and unscalable network connectivity. Such network problems can be conveniently modelled using the theory of queue perturbation in the multiple queue systems and also as a weak coupling in a multiple channel wireless network. Consequently, this paper proposes a queue perturbation and weakly coupled based power control approach for WBNs. The ultimate objectives are to increase energy efficiency and the overall network capacity. In order to achieve this objective, a Markov chain model is first presented to describe the behaviour of the steady state probability distribution of the queue energy and buffer states. The singular perturbation parameter is approximated from the coefficients of the Taylor series expansion of the probability distribution. The impact of such queue perturbations on the transmission probability, given some transmission power values, is also analysed. Secondly, the inter-channel interference is modelled as a weakly coupled wireless system. Thirdly, Nash differential games are applied to derive optimal power control signals for each user subject to power constraints at each node. Finally, analytical models and numerical examples show the efficacy of the proposed model in solving power control problems in WBNs.},

author = {Thomas Otieno Olwal, Karim Djouani, Okuthe P. Kogeda, Barend Jacobus van Wyk},

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

keywords = {decentralized power control; singular perturbation theory; weak coupling theory; wireless backbone networks; optimal control theory},

language = {eng},

number = {3},

pages = {749-764},

title = {Joint queue-perturbed and weakly coupled power control for wireless backbone networks},

url = {http://eudml.org/doc/244051},

volume = {22},

year = {2012},

}

TY - JOUR

AU - Thomas Otieno Olwal

AU - Karim Djouani

AU - Okuthe P. Kogeda

AU - Barend Jacobus van Wyk

TI - Joint queue-perturbed and weakly coupled power control for wireless backbone networks

JO - International Journal of Applied Mathematics and Computer Science

PY - 2012

VL - 22

IS - 3

SP - 749

EP - 764

AB - Wireless Backbone Networks (WBNs) equipped with Multi-Radio Multi-Channel (MRMC) configurations do experience power control problems such as the inter-channel and co-channel interference, high energy consumption at multiple queues and unscalable network connectivity. Such network problems can be conveniently modelled using the theory of queue perturbation in the multiple queue systems and also as a weak coupling in a multiple channel wireless network. Consequently, this paper proposes a queue perturbation and weakly coupled based power control approach for WBNs. The ultimate objectives are to increase energy efficiency and the overall network capacity. In order to achieve this objective, a Markov chain model is first presented to describe the behaviour of the steady state probability distribution of the queue energy and buffer states. The singular perturbation parameter is approximated from the coefficients of the Taylor series expansion of the probability distribution. The impact of such queue perturbations on the transmission probability, given some transmission power values, is also analysed. Secondly, the inter-channel interference is modelled as a weakly coupled wireless system. Thirdly, Nash differential games are applied to derive optimal power control signals for each user subject to power constraints at each node. Finally, analytical models and numerical examples show the efficacy of the proposed model in solving power control problems in WBNs.

LA - eng

KW - decentralized power control; singular perturbation theory; weak coupling theory; wireless backbone networks; optimal control theory

UR - http://eudml.org/doc/244051

ER -

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