Cross-layer lifetime maximisation in wireless multihop networks with network coding

In this paper, we study the problem of maximising network lifetime in wireless multihop networks with network coding. For this aim, we introduce a cross-layer formulation with general Network Utility Maximisation (NUM) that accommodates routing, scheduling and stream control from different layers of network. Specifically, to maximise such a lifetime while satisfying a given traffic demand, we elaborate its objective along with a lifetime fairness constraint and the other relevant constraints across different layers. Consequently, by taking network coding into account, we resolve the optimisation problem with a stochastic primal-dual algorithm that can iteratively update its subgradients to find the saddle points involved with a smoother trajectory, and can globally converge to the optimal solutions asymptotically. In particular, the corresponding distributed algorithms can be resulted to dynamically approach the optimal in a distributed manner. Finally, our numerical results are presented to validate and exhibit the possible benefits that can be gained from the cross-layer optimisation and the corresponding algorithms.