Minimization methods for non-differentiable functions
Minimization methods for non-differentiable functions
Optimization flow control—I: basic algorithm and convergence
IEEE/ACM Transactions on Networking (TON)
Fair end-to-end window-based congestion control
IEEE/ACM Transactions on Networking (TON)
The Mathematics of Internet Congestion Control (Systems and Control: Foundations and Applications)
The Mathematics of Internet Congestion Control (Systems and Control: Foundations and Applications)
Convex Optimization
Utility-Optimal Random-Access Control
IEEE Transactions on Wireless Communications
Cross-Layer Congestion and Contention Control for Wireless Ad Hoc Networks
IEEE Transactions on Wireless Communications
IEEE Journal on Selected Areas in Communications
A tutorial on decomposition methods for network utility maximization
IEEE Journal on Selected Areas in Communications
A tutorial on cross-layer optimization in wireless networks
IEEE Journal on Selected Areas in Communications
Mathematical decomposition techniques for distributed cross-layer optimization of data networks
IEEE Journal on Selected Areas in Communications
IEEE Journal on Selected Areas in Communications
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Traditional congestion control protocols assume that each link provides a fixed capacity, while it is not always the case in wireless networks which have shared and variable medium. In this paper, we incorporate variable link capacity as a function of resource allocated, and random-access interference model dependent on physical location, in addition to congestion control, into the network utility maximization framework. Despite non-convexity and non-separability of the primal formulation, we transform the problem and apply a two-level dual based decomposition for solving it. We then propose practical algorithm and prove their convergence to the globally optimum. By collaboratively optimization of transmission rate at the transport layer, link persistence probability at the media-access control layer, and allocated resource at the physical layer, our algorithm can improve the system performance which is further demonstrated by numerical results.