Numerical analysis of optimum timer value for time-based location registration scheme

In this letter, we analyze a time-based update method in location management and calculate the optimal time-interval. We obtain the probability that a mobile terminal (MT) is j rings away from the center cell. And using these values, an exact analysis is made for the time-based location management cost. From the result, when the time-based method is applied to location update, we can get the optimal time-interval which minimizes the location management cost.