Modeling temperature and dissipation behavior of an open multi-frequency green router

Development of green routers aimed at saving energy when the input traffic is low has the positive side effect of reducing the working temperature of their internal components. This idea can encourage 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 helps green router designers to calculate in advance the temperature statistics of a router, for given input traffic statistics and energy saving law applied by the router Governor, which is an entity which decides the router policy to be adopted. At the same time the model evaluates the obtained energy saving gain. The proposed model is applied to a case study to show how it can be used to support the design of the router Governor parameters to achieve the target of maintaining the mean temperature below a given threshold.