A cellular system has uniform traffic load in each cell. The call arrival rate is 120 calls/minute. The average call holding time is 4 minutes and average cell dwelling time is 2 minutes. Each cell has 280 voice channels. Given that a call will handoff, the probability that the call moves to each neighbouring cell is equal. The call

Computer Networking: A Top-Down Approach (7th Edition)
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Chapter1: Computer Networks And The Internet
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A cellular system has uniform traffic load in
each cell. The call arrival rate is 120
calls/minute. The average call holding time
is 4 minutes and average cell dwelling
time is 2 minutes. Each cell has 280 voice
channels. Given that a call will handoff, the
probability that the call moves to each
neighbouring cell is equal. The call
blocking probability of each cell (BB) can
be modelled by the Erlang fixed-point
approximation approach. Using the
method of successive substitution, with an
initial guess of 00 = 180 calls/minute, a
tolerance limit of 0.1% and Erlang B table,
calculate BB. Show the result of each
iteration by completing the following
table.
iteration 0 0/(μ+88) B B absolute relative
difference in B1 (%)
1 180
2
3
Transcribed Image Text:A cellular system has uniform traffic load in each cell. The call arrival rate is 120 calls/minute. The average call holding time is 4 minutes and average cell dwelling time is 2 minutes. Each cell has 280 voice channels. Given that a call will handoff, the probability that the call moves to each neighbouring cell is equal. The call blocking probability of each cell (BB) can be modelled by the Erlang fixed-point approximation approach. Using the method of successive substitution, with an initial guess of 00 = 180 calls/minute, a tolerance limit of 0.1% and Erlang B table, calculate BB. Show the result of each iteration by completing the following table. iteration 0 0/(μ+88) B B absolute relative difference in B1 (%) 1 180 2 3
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