Determine the smallest integer number of trunk lines needed, Ask an Expert

Statistics

Messages are transmitted from low speed terminals and arrive at a message concentrator at a rate of 600/hr. They are held in a buffer until a high-speed trunk line is free to transmit them.the trunk line transmission time is exponential with a mean of 30 sec.

1. Determine the smallest integer number of trunk lines needed so that tq the waiting time in the queue satisfies the relation t t[tq< 60 sec.]> 0.95,i.e , the probability exceeds 95% that the time the message spends in the buffer is less than 60 sec.

2. Compute L and q for the number of trunk lines you determined.

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Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M9103962

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