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Students Arrive Randomly at the Help Desk of the Computer

question 13

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Students arrive randomly at the help desk of the computer lab. There is only one service agent, and the time required for inquiry varies from student to student. Arrival rates have been found to follow the Poisson distribution, and the service times follow the negative exponential distribution. The average arrival rate is 12 students per hour, and the average service rate is 20 students per hour. What is the utilization factor?


Definitions:

Alpha

In investing, alpha is a measure of performance on a risk-adjusted basis, comparing an investment's excess returns to the market's returns.

Seasonality

A pattern in data that repeats at regular intervals over time, often observed in sales, weather patterns, and agricultural production.

Forecast Error

The difference between the actual demand and the forecasted demand, indicating the accuracy of forecasts.

Bias

A tendency to lean in a certain direction, either in favor of or against a particular thing, person, or group compared with another, often in a way considered to be unfair.

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