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IEEE 802.11 has evolved from 802.11a/b/g/n to 802.11ac to meet rapidlyincreasing data rate requirements in WLANs. One important technique adopted in802.11ac is the channel bonding (CB) scheme that combines multiple 20MHzchannels for a single transmission in 5GHz band. In order to effectively accesschannel after a series of contention operations, 802.11ac specifies twodifferent CB operations: Dynamic Channel Bonding (DCB) and Static ChannelBonding (SCB). This paper proposes an optimal channel allocation algorithm toachieve maximal throughputs in DCB WLANs. Specifically, we first adopt acontinuous-time Markov Chain (CTMC) model to analyze the equilibriumthroughputs. Based on the throughput analysis, we then construct an integernonlinear programming (INLP) model with the target of maximizing systemthroughputs. By solving the INLP model, we then propose an optimal channelallocation algorithm based on the Branch-and-Bound Method (BBM). It turns outthat the maximal throughput performance can be achieved under the channelallocation scheme with the least overlapped channels among WLANs. Simulationsshow that the proposed channel allocation algorithm can achieve the maximalsystem throughput under various network settings. Our analysis on the optimalchannel allocation schemes brings new insights into the design and optimizationof future WLANs, especially for those adopting channel bonding technique.

To Bond or not to Bond: An Optimal Channel Allocation Algorithm For Flexible Dynamic Channel Bonding in WLANs