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Issue No. 10 - October (2009 vol. 20)
ISSN: 1045-9219
pp: 1393-1407
Xiaoying Zheng , University of Florida, Gainesville
Feng Chen , University of Florida, Gainesville
Ye Xia , University of Florida, Gainesville
Yuguang (Michael) Fang , University of Florida, Gainesville
In this paper, we solve the problem of a joint optimal design of congestion control and wireless MAC-layer scheduling using a column generation approach with imperfect scheduling. We point out that the general subgradient algorithm has difficulty in recovering the time-share variables and experiences slower convergence. We first propose a two-timescale algorithm that can recover the optimal time-share values. Most existing algorithms have a component, called global scheduling, which is usually NP-hard. We apply imperfect scheduling and prove that if the imperfect scheduling achieves an approximation ratio \rho, then our algorithm produces a suboptimum of the overall problem with the same approximation ratio. By combining the idea of column generation and the two-timescale algorithm, we derive a family of algorithms that allows us to reduce the number of times the global scheduling is needed.
Cross-layer design, optimization, column generation, MAC-layer scheduling, congestion control.

F. Chen, Y. Xia, Y. (. Fang and X. Zheng, "A Class of Cross-Layer Optimization Algorithms for Performance and Complexity Trade-Offs in Wireless Networks," in IEEE Transactions on Parallel & Distributed Systems, vol. 20, no. , pp. 1393-1407, 2008.
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