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 intensit...

Static channel allocation with n 25 Channel cell arruval Rate 18 Calls I ...

A cellular telephony system uses a static channel allocation with = 25 channelsper cell. The arrival

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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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Probability and Statistics for Engineers and Scientists

ISBN: 978-0495107576

3rd edition

Authors: Anthony Hayter

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Posted Date: Sep 09, 2021 11:17 PM

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