An analytical model driven by fluid queue for battery life time of a user equipment in LTE-A networks

During the Discontinuous Reception (DRX) mechanism, a User Equipment (UE) turns off most of its components for a prolonged period. The battery charge of a UE, which is a continuous quantity, arises as a fluid model. In this scenario, we represent the system as the reservoir where battery charge gets accumulated or is depleted gradually over the time, subject to a random environment constructed by the DRX mechanism. Therefore, the DRX mechanism acts as the background process for the fluid queue model of the battery charge. In a UE, battery charge available at any time t is considered as the fluid available in the reservoir. Different discharging rates are considered for the various states of the DRX mechanism. Using the fluid queue model, cumulative distribution function for the battery life of a DRX enabled UE is derived. Further, the expression for the mean battery life is obtained and analyzed numerically.