A cellular telephony system uses a static channel allocation with 25 channelsper cell The arrival process of new calls is modeled as a Poisson process with arrivalrate 180 calls h km2 Every call has an exponentially distributed duration with anaverage 1 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 assumethat (almost) all calls are handled by the system

Question: A cellular telephony system uses a static channel allocation with = 25 channelsper cell. The arrival process of new calls is modeled as a

A cellular telephony system uses a static channel allocation with η = 25 channelsper cell. The arrival process of new calls is modeled as a Poisson process with arrivalrate λ = 180 calls/h/km2. Every call has an exponentially distributed duration with anaverage 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 assumethat (almost) all calls are handled by the system.

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