Maximum Lifetime Routing Problem in Duty-Cycling Sensor Networks
In order to extend the lifetime of a wireless sensor network, the energy consumption of individual sensor nodes need to be minimized. This can be achieved by minimizing the idle listening time with duty cycling mechanism and/or minimizing the number of communications per node. The nodes will have different relay loads for different routing strategies: therefore, the routing problem is important factor in minimization of the number of communications per node. In this paper, we investigate achievable network lifetime with a routing mechanism on top of an existing duty-cycling scheme. To this end, we formulated the routing problem for duty-cycling sensor network as a linear programming problem with the objective of maximizing the network lifetime. Using the developed linear programming formulation, we investigate the relationship between network lifetime and duty-cycling parameter for different data generation rates and determine the minimum duty-cycling parameter that meets the application requirements. To the best of our knowledge, this is the first mathematical programming formulation which addresses the maximum lifetime routing problem in duty-cycling sensor network. In order to illustrate the application of the analytical model, we solved the problem for different parameter settings.
wireless sensor network duty cycling linear programming energy efficient routing