A Markov model to control heat dissipation in open multi-frequency green routers

One of the main goals of telecommunications engineering today is to make Internet routers green. A positive side effect of this is the reduction of the working temperature of their internal components. This idea is encouraging the realization of smaller scale routers, but this process has to be supported by the confidence that temperature remains in a given range. For this reason the target of this paper is to propose an analytical discrete-time Markov model that allows green router designers to choose green router parameters with constraints related to the average working temperature. Other important constraints are loss probability during clock frequency switches and energy saving gain. The proposed model is applied to a case study to show how it can be used to design some router Governor parameters to achieve the target of maintaining the average temperature below a given threshold.