Towards empirical study based mathematical modeling for energy consumption and end-to-end delay of MANETs

Mathematical modeling for energy consumption of MANETs considering the impact of different layers in the protocol stack in addition to that of different network parameters remains unexplored till now even though such modeling is considered as the fastest and the most cost-effective tool for evaluating the performance of a network. Therefore, in this paper, we attempt to develop a mathematical model for energy consumption of MANETs considering both of the aspects. In addition, we also focus on developing mathematical models for end-to-end delay, this metric limits the maximum throughput of a network. In our analysis, we perform rigorous simulation utilizing ns-2 to capture the performance of MANETs under diversified settings. Our rigorous empirical study reveals that we need to develop cross-layer mathematical models for energy consumption and delay to represent the performance of MANETs and such mathematical models need to resolve higher-order polynomial equations. Consequently, our study uncovers a key finding that mathematical modeling of MANETs considering variations in all parameters is not feasible.