We consider an optimum personal paging area configuration problem to improv
e the paging efficiency in PCS/cellular mobile networks. The approach is to
set up the boundaries of a one-step paging area that contain the locations
of a mobile user with a high probability and to adjust the boundaries to g
ain a coverage that is matched to the mobile user's time-varying mobility p
attern. We formulate the problem as an interval estimation problem. The obj
ective is to reduce the paging signaling cost by minimizing the size of the
paging area constrained to certain confidence measure (probability of loca
ting the user), based on a finite number of available location observations
of the mobile user. Modeling user mobility as a Brownian motion with the d
rift stochastic process and by estimating the parameters of the location pr
obability distribution of the mobility process, the effects of the mobility
characteristics and the system design parameters on the optimum paging are
a are investigated. Results show: (1) the optimum paging area expands with
the time elapsed after the last known location of the user; (2) it also inc
reases with the length of a prediction interval and the location probabilit
y; (3) the relative change in the paging area size decreases with the incre
ase in the number of location observations.