This paper provides a critical review of energy entropy theory in Mobile Ad Hoc Networks (MANETs) and proposes an Energy Entropy on Ad Hoc On-demand Distance Vector Multipath (EEAODVM) routing protocol. The essential idea of the protocol is to find every route which can minimize the node residual energy in the process of selecting path. It balances individual node battery energy utilization and hence prolongs the entire network lifetime. The results of simulation show that, with the proposed EEAODVM routing protocol, packet delivery ratio, routing overhead ratio, average end-to-end delay, network's lifetime and minimal residual energy ratio can be improved in most of cases. It is an available approach for multipath routing decision.
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