(10 points) Problem 3: In Problem 2, suppose there is one employee working at the drive...

 

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(10 points) Problem 3: In Problem 2, suppose there is one employee working at the drive through. She serves each customer in 1 minute on average and her service times are exponentially distributed. What is the probability that there are zero customers at the drive-through? (20 points) Problem 4: Logs of wood are being transported to a warehouse. There are infinite number of trucks available for transportation. At the warehouse, there is one crane available for unloading. The crane takes an average of 2 hours to unload a truck. After unloading, the truck leaves and takes an average of 5 hours to return back to the warehouse, fully loaded. Using the given data, answer the following: (a) (4 points) What is the average number of trucks waiting in the queue to be unloaded? (b) (3 points) What is the probability that crane is busy? (c) (3 points) What is the long-run utilization of the crane? (d) (10 points) Calculate all the above performance measures for a case when there are two cranes available. Feel free to make and state necessary assumptions about the unloading and traveling processes. (10 points) Problem 3: In Problem 2, suppose there is one employee working at the drive through. She serves each customer in 1 minute on average and her service times are exponentially distributed. What is the probability that there are zero customers at the drive-through? (20 points) Problem 4: Logs of wood are being transported to a warehouse. There are infinite number of trucks available for transportation. At the warehouse, there is one crane available for unloading. The crane takes an average of 2 hours to unload a truck. After unloading, the truck leaves and takes an average of 5 hours to return back to the warehouse, fully loaded. Using the given data, answer the following: (a) (4 points) What is the average number of trucks waiting in the queue to be unloaded? (b) (3 points) What is the probability that crane is busy? (c) (3 points) What is the long-run utilization of the crane? (d) (10 points) Calculate all the above performance measures for a case when there are two cranes available. Feel free to make and state necessary assumptions about the unloading and traveling processes.

Answer rating: 100% (QA)

PROBLEM 3 The probability that there are zero customers at the drivethrough is 0368 CALCULATION Let ... View the full answer