A cellular telephony system uses a static channel allocation with η = 25 channels per cell. The arrival process of new calls is modeled as a Poisson process with arrival rate λ = 180 calls/h/km2....

A cellular telephony system uses a static channel allocation with η = 25 channels per cell. The arrival process of new calls is modeled as a Poisson process with arrival rate λ = 180 calls/h/km2. Every call has an exponentially distributed duration with an average 1/μ = 2.5 minutes. a) Determine the traffic intensity (erlang/cell) if the cell radius is R = 1 km. b) What is the blocking probability at this traffic load? c) Determine the channel assignment failure rate at the traffic load if we can assume that (almost) all calls are handled by the system.