Optimized Energy Consumption in Linear Slotted Aloha Ad Hoc Networks with Equidistant Hops

In wireless ad hoc networks, it is desired that the stations can efficiently work, with reduced human interference, during operation and save power from their batteries to extend the network lifetime. This paper investigates the energy consumption in equidistant multiple hops in a linear ad hoc network, employing the slotted Aloha as medium access control (MAC) protocol. We obtain the optimal transmission power as a function of physical and link layers parameters which results the optimized energy consumption per successfully transmitted bit across the linear network topology. Accordingly, we find that there are values of packet size, transmission rate and number of hops that attain the lowest energy consumption which can be used to extend the battery life of wireless communication devices.