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Question: consider a workstation with a batch server of capacity 4...

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Consider a workstation with a batch server of capacity 4. Jobs arrive at the workstation individually at a rate of 6 jobs/hour and an inter-arrival time C^2a (I) of 3. Only full batches are processed at the workstation. The batch mean service time is 0.6 hours with C^2s (B) = 0.8. Find: (a) The cycle time for this workstation including the batch forming time. (b) The expected number of batches waiting to be processed. (c) What is the mean and C^2d (B) of the batch inter-departure times? (d) Considering that the batch is immediately broken into individual jobs on completion of service, what are the mean and C^2d(I) of the individual inter-departure times?

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