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

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.

The FIREMAN: Foraging-Inspired energy management in multi-radio Wi-Fi networks

“…The performance results agree with the theory that the offered load per link is directly proportional to the throughput in a lightly loaded network. The FIREMAN method was compared with the PSM-MMAC protocol in [5] and the SPWC-PMMUP in [14]. It has been found that the FIREMAN method for a three radio interface link outperforms the SPWC-PMMUP and PSM-MMAC methods tested under a similar number of the radio interfaces, on the average.…”

“…The transmission energy adaptations were based on the locally residing energy in a node, the amount of local queue load, the quality of the links and the interference conditions in the wireless medium [13]. In [14], the inter-channel, co-channel interference, and energy consumption at the queues were modeled as joint queue-perturbation and weakly-coupled (SPWC) systems. A Markov chain model was developed to describe the steady state probability distribution behavior of the queue energy and buffer state variations in multi-radio nodes.…”

Bio‐inspired energy and channel management in distributed wireless multi‐radio networks

“…In [12], the inter-channel, co-channel interference and energy consumption at the queues were modelled as joint singular-perturbation and weakly-coupled (SPWC) systems.…”

On truncations for weakly ergodic inhomogeneous birth and death processes

“…On the other hand, if we deal with an inhomogeneous Markovian model, then we must approximately calculate, in addition to that, the limiting probability characteristics of the process. The problem of existence and construction of limiting characteristics for inhomogeneous (in time) birth and death processes is important for queueing applications (see, e.g., Di Crescenzo and Nobile, 1995;Di Crescenzo et al, 2003;Granovsky and Zeifman, 2004;Mandelbaum and Massey, 1995;Massey and Whitt, 1994;Massey and Pender, 2013;Olwal et al, 2012;Tan et al, 2013;Zeifman et al, 2006). This is the second main problem.…”