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This work proposes an in-network distributed algorithm for the energy optimal routing in a wireless sensor network. The routing problem is described as a minimum-cost multi-commodity network flow problem by Linear programming. Based on the convex programming theory we use the dual decomposition theorem to derive the distributed algorithm on a mathematical basic. The algorithm computes the exact energy optimal routing in the network without any central node or the knowledge about the whole network structure, using only peer-to-peer communication between neighboring nodes. In contrast to other works in this area, the presented approach is not limited to strictly convex objective functions and it handles linear objective functions.
Date of Publication: June 2012