A many-objective optimization charging scheme for wireless rechargeable sensor networks via mobile charging vehicles

and distance between the MCVs and sensor nodes are simultaneously optimized, to prolong the network lifetime. Moreover, the formulated MDMaOP is analyzed and proven as NP-hard. Then, we propose a fast optimization approach and an accurate optimization approach to solve the formulated problem for satisfying the demands of calculation time and accuracy in different scenarios. Simulation results demonstrate that the proposed methods are effective for prolonging the network lifetime and outperform some other comparison algorithms.