A diagnostic test in a hospital lab you are simulating must be completed within

Question

A diagnostic test in a hospital lab you are simulating must be completed within 2 hours of when you receive the request, otherwise the test has to be sent to another lab for testing at a significant cost. Tests are done in a lab with a single technician, and patients are served in FIFO order. Interarrival times are exponential(10) and service times are exponential(12) in hours. Find the fraction of time the technician is idle Find the fraction of the patients spend more than 2 hours in the system Upon further review, you discover that the technician service times have rate 12/hour with a standard deviation of 1/10 hour. Find the average time in the system

Explanation / Answer

Answer to question# 19)

Idle time = interarrival time - Service time

Idle time = 1/10 - 1/12

Idle time = (12 -10) / 120

Idle time = 1/60

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