Abstract
In this paper, the problem of energy efficient multicasting in mobile ad hoc networks is tackled with incorporation of minimum required stability along each path. A novel model is presented to compute the stability of links as a function of transmission power of forwarding nodes and mobility history of links. We present a mixed integer programming model which can be used for an optimal solution of the minimum energy multicast routing with stable paths in mobile ad hoc networks. Further, we propose a source-initiated distributed heuristic position-based multicast routing algorithm (SE <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> PBM) to construct minimum energy consumption multicast trees in mobile ad hoc networks. SE <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> PBM selects transmission power level of forwarding nodes in order to guarantee certain stability requirement, while minimizing total energy cost. Simulation results are presented which supports our approach.
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