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The port authority in a small East Coast harbour has a staff of pilots who take turns on duty...

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The port authority in a small East Coast harbour has a staff of pilots who take turns on duty in such a way that exactly one pilot is on duty at any time, 24 hours per day, 365 days a year. Canadian shipping law requires that a pilot be on board any vessel for the last few miles into port, on the way out of port, and for any movement within the port (from pier to moorage and vice versa). Ships generate calls for service at a rate of three per day, according to a Poisson distribution. The service times are well approximated by an exponential distribution with a mean of six hours. What is the probability that there are more than two customers waiting in the queue?

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To solve this problem we can use queuing theory and Little s Law which relates the average number of View the full answer


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Fundamentals of Cost Accounting

Fundamentals of Cost Accounting

ISBN: 978-0077398194

3rd Edition

Authors: William Lanen, Shannon Anderson, Michael Maher

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Question Details
Chapter # 16
Section: Review Questions
Problem: 61
Posted Date: August 28, 2023 01:31:22
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