Abstract
In this paper, we firstly propose a maximum lifetime routing: the path cumulative power consumption routing(PCPC), based on the information of the two layers: medium access and routing. Secondly, a min-max optimal programming model is presented to describe the routing strategy. It aims to maximize the sensor network lifetime with minimal network power consumption by exploiting the cross-layer optimization. By solving this model, the number of transmitted packets of each relay node can be estimated precisely and it is the foundation of maximize sensor network lifetime. Detailed analytical and numerical results are given to verify the feasibility and efficiency of our programming model.