What is the expected number of parts in the job shop, Operation Management

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What is the expected number of parts in the job shop

Problem

Consider a job shop. Assume that the parts arrive with an average of 10 minutes between parts and a standard deviation of 8 minutes. The average processing time is 8 minutes per part, with a standard deviation of 7 minutes.

i. Is this system stable? Justify your answer
ii. What is the expected time that the parts spend in the job shop?
iii. What is the expected number of parts in the job shop?

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Operation Management: What is the expected number of parts in the job shop

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