Two new algorithms for the Min-Power Broadcast problem in static ad hoc networks

In this paper we address the Min-Power Broadcast problem in wireless ad hoc networks. Given a network with an identified source node w, the Min-Power Broadcast (MPB) problem is to assign transmission range to each node such that communication from w to other nodes is possible and the total energy consumption is minimized.As the problem is NP-Hard we first propose a simulated annealing algorithm for the MPB problem. Utilizing a special node selection mechanism in its neighborhood structure the algorithm is designed in a way enabling an efficient power consumption evaluation and search for neighboring solutions. We then combine the algorithm with a decomposition approach to enhance its performance. This is achieved by decomposing the master problem and performing metropolis chain of the simulated annealing only on the much smaller subproblems resulting from decomposition. Results from a comprehensive computational study indicate the efficiency and effectiveness of the proposed algorithms.