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Queue Prob Set_1

# Queue Prob Set_1 - SCM 300 MODULE 05 Problem Set Queuing...

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SCM 300 – MODULE 05 Problem Set - Queuing Module 05: ADDITIONAL PROBLEM SET 1. The Burger King in the ASU-MU has only one person working at the register. Customers arrive 12 per hour according to a Poisson distribution. The Burger King employee on average can help 16 customers per hour according to an exponential distribution A. What percentage of the time is the Burger King employee busy? B. What is the average number of customers WAITING to be helped? C. What is the average waiting time for customers in line? (In minutes) D. If you plan on taking home your meal, how long would you expect to be in the Burger King? (In minutes) E. How many customers would have to be in the Burger King if you wanted 1 customer in the line? F. What is the probability there is more than one person in the Line? 2. An operator in an office receives calls at a rate of 120 per hour according to a Poisson distribution. The average time required to process a call is 20 seconds, exponentially distributed. Assuming that the single-server waiting line model applies: A. What percentage of the time is the operator busy? B. What is the average time a caller waits for an operator to answer? (In seconds) C. What is the average number of calls in the system? D. What is the probability that three or more calls are in the system? E. What is the probability there are more than two people on hold? 3. The Ace Job Shop is made up of a production facility where machinists work. In a nearby area, the tool crib, these machinists pick up their tools from an attendant at the tool crib. The Ace Job Shop employs both the machinists and the tool crib attendants. On average 8 machinists arrive at the tool crib every hour. Each machinist is paid \$18 per hour. The supervisor can staff the crib with a junior attendant who is paid \$10.00/hour and can process

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Queue Prob Set_1 - SCM 300 MODULE 05 Problem Set Queuing...

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