Optimal Call Admission Control policy for the RCS schemes in wireless networks

This paper investigates the optimal Call Admission Control (CAC) policy for the Reserved Channel Schemes (RCS) in a wireless network. Under the assumption that all calls arrival processes are Poisson processes, their service times are exponentially distributed, admitting each call would bring a reward and there are holding costs per unit time, we figure out the optimal policy of when to reject the calls in order to achieve the maximum reward. A discounted Semi Markov Decision Process (SMDP) model is used to derive the optimal policy for maximum total expected discounted reward on each state. We verified that the optimal CAC policy is a control limit policy if the cost functions have some special properties.