### A Distributed Algorithm for Maximum Lifetime Routing in Ad Hoc Wireless Networks

- R. Madan and S. Lall.
- Proceedings of Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks (WiOpt), p. 412--413, 2004.

An ad hoc sensor network of nodes with wireless transceiver capabilities is considered. We propose distributed algorithms to compute an optimal routing scheme that maximizes the time at which the first node in the network drains out of energy. This problem is formulated as a linear programming problem and subgradient algorithms are used to solve it in a distributed manner. The resulting algorithms have low computational complexity and are guaranteed to converge to an optimal routing scheme that maximizes the network lifetime. The algorithms are illustrated by an example in which an optimal flow is computed for a network of randomly distributed nodes.