Analyzing zone-based registration in mobile cellular networks

Mobility management is very important in mobile cellular networks, since to connect incoming calls, the network must maintain the locations of the mobiles. This study considers the zone-based registration methods that most mobile cellular networks have adopted. We focus on two special zone-based registration methods, called two-zone registration (2Z), and two-zone registration with implicit registration by outgoing calls (2Zi). Although some mathematical models for their performances have been presented, they still cannot accurately estimate 2Zi performance. We provide a new and simple mathematical model based on Markov chain theory that can accurately analyze the performances of 2Z and 2Zi. We also explain the propositions underlying the explicit expressions adopted by our model. We finally present various numerical results, to compare the performance of 2Zi with those of 2Z and one-zone registration (1Z), and show that in every case, 2Zi is superior to 2Z, and in most practical cases, to 1Z.