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Kolkmeyer Manufacturing: operating characteristics of machines

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3. Kolkmeyer Manufacturing Company is considering adding two machines to its manufacturing operation. This addition will bring the number of machines to eight. The president of Kolkmeyer asked for a study of the need to add a second employee to the repair operation. The arrival rate is 0.05 machine per hour for each machine, and the service rate for each individual assigned to the repair operation is 0.50 machine per hour.

a. compute the operating characteristics if the company retains the single-employee repair operation.
b. Compute the operating characteristics if a second employee is to added the machine repair operation.
c. Each employee is paid $20 per hour. Machine downtime is value at $80 per hour. From an economic point of view, should one or two employee handle the machine repair operation? Explain.

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The solution examines operating characteristics of machines for Kolkmeyer Manufacturing.

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Requirement a

Given the single employee operations, there is a 20% probability that the system is empty. It is also expected that there are about 3 in the queue waiting to be serviced while there are 4 being serviced by the whole system; hence the total time in the system is 10 hours. All this contributes to the 0.80 probability that a customer ...

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