Consider a cellular system with 1000 channels. The area of cell is 6 km^2 and the total area is 2100 km^2.
The system uses a 7-cell reuse pattern. If the offered traffic per user is 0.03 Erlangs and the average number of calls per hour per user is 1.5, for an Erlang-C system with a probability of delaying a call being 5%, calculate
(a) the traffic load per cell,
(b) the number of users per km^2 that can be supported by this system,
(c) the mean duration of a call,
(d) repeat the above calculations when the cluster size is increased to 9. Discuss the effects of cluster size on the service quality.