In Heterogeneous Wireless Networks (HetNets), different overlapped Radio Access Networks (RANs) can coexist with each other in the same geographical area with the goal to provide high rates pervasive access for mobile users via multi-mode terminals. This paper addresses the problem of initial RAN selection in HetNets with two co-located wireless networks which supports two different service classes. The framework of Semi-Markov Decision Process (SMDP) is used to formulate the problem as a Joint Call Admission Control (JCAC) optimization problem that involves the design of a total cost function that weights two criteria: the blocking cost and the energy consumption cost. Simulation results are provided, showing that our JCAC optimal policy often selects the less energy consuming RAN when more weight (50% or more) is given to the energy consumption cost in the total cost function.
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