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We investigate optimal channel assignment algorithms that maximize per nodethroughput in dense multichannel multi-radio (MC-MR) wireless networks.Specifically, we consider an MC-MR network where all nodes are within thetransmission range of each other. This situation is encountered in manyreal-life settings such as students in a lecture hall, delegates attending aconference, or soldiers in a battlefield. In this scenario, we show thatintelligent assignment of the available channels results in a significantlyhigher per node throughput. We first propose a class of channel assignmentalgorithms, parameterized by T (the number of transceivers per node), that canachieve $\Theta(1/N^{1/T})$ per node throughput using $\Theta(TN^{1-1/T})$channels. In view of practical constraints on $T$, we then propose anotheralgorithm that can achieve $\Theta(1/(\log_2 N)^2)$ per node throughput usingonly two transceivers per node. Finally, we identify a fundamental relationshipbetween the achievable per node throughput, the total number of channels used,and the network size under any strategy. Using analysis and simulations, weshow that our algorithms achieve close to optimal performance at differentoperating points on this curve. Our work has several interesting implicationson the optimal network design for dense MC-MR wireless networks.

Channel Assignment in Dense MC-MR Wireless Networks: Scaling Laws and Algorithms