Statistics - Exponential Distribution - Expected Value
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The port of Trop can service only 1 ship at a time. However, there is mooring space for 3 more ships. Trop is a favorite port of call, but, if no mooring space is available the ships have to go to the next port. An average of 7 ships arrive each week, according to the Poisson process. The Port of Trop has the capacity to handle an average of 8 ships a week, with service times exponentially distributed. What is the expected number of ships waiting or in service at the Port of Trop?
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Solution Summary
A complete, neat and step-by-step solution is provided to determine the expected number of ships waiting or service at the Port of Trop.
Solution Preview
We model this a s a M/M/1/N queue with λ = 7, μ = 8 and N = 4
a = ...
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