Problem 8.38. At a railway statlon, only one train is handled at a time. The railway yard is sufficient only for two trains to wait while the other is given signa! to leave the station. Trains arrive at the station at an average rate of 6 per hour and the railway station can handle them on an average of 12 per hour. Assuming Poisson arrivals and exponential service distribution, find the steady-state probabilities for the various number of trains in the system., Also, find the average walting of a new train coming into the yard.

MATLAB: An Introduction with Applications
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Problem 8-38. At a railway'station, only one train is handled at a time. The
railway yard is sufficient only for two trains to wait while the other is given signal
to leave the station. Trains arrive at the station at an average rate of 6 per hour and
the railway station can handle them on an average of 12 per hour. Assuming
Poisson arrivals and exponential service distribution, find the steady-state
probabilities for the various number of trains in the system., Also, find the average
walting of a new train coming into the yard.
%3B
Transcribed Image Text:Problem 8-38. At a railway'station, only one train is handled at a time. The railway yard is sufficient only for two trains to wait while the other is given signal to leave the station. Trains arrive at the station at an average rate of 6 per hour and the railway station can handle them on an average of 12 per hour. Assuming Poisson arrivals and exponential service distribution, find the steady-state probabilities for the various number of trains in the system., Also, find the average walting of a new train coming into the yard. %3B
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