Optimal fractional movement-based scheme for PCS location management

In this letter, we propose a fractional movement-based location update scheme for Personal Communication Service networks. Similar to the well-known fractional guard channel scheme for channel assignments, in our proposed scheme, the movement threshold is a real number with a fraction instead of an integer. We prove analytically that there is a unique optimal fractional movement threshold that minimizes the total cost of location updates and paging per call arrival.