Minimizing the paging channel bandwidth for cellular traffic

We consider two mechanisms by which call setup requests are blocked in a mobile communication system: (1) The calling party may get impatient while the system is looking for the mobile unit and hang up. (2) There may be no channel available for call setup. These two blocking events can be combined to obtain a single request loss probability. For different arrival rates, number of cells in the paging area, impatience threshold, and number of voice channels available, we find the minimum paging rate required to meet some maximum loss probability criterion. We thus indirectly find the minimum paging bandwidth necessary to support a given number of voice channels.