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IIT Kanpur *

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4809

Subject

Industrial Engineering

Date

Nov 24, 2024

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jpeg

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1

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Q2. The Decision Sciences Department is trying to determine whether to rent a slow or a fast copier. The department believes that an employee’s time is worth $15 per hour. The slow copier rents for $4 per hour and it takes an employee an average of 10+5f minutes to complete copying (exponentially *distributed). The fast copier rents for $15 per hour and it takes an employee an average of 6+5f minutes to complete copying. An average of 4 employees per hour need to use the copying machine (interarrival times are exponential). Which machine should the department rent? Answer the same question with the following change: In the fast copier, Copying time does not follow exponential distribution and it takes an employee an average of 6+5f minutes to complete copying with a the standard deviation of copying time = 2.5 minutes. (M/G/1 correction needed)
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