Question: 4 10 30,00 P Problem #3 (30 pts) Consider a single-machine two station production line to which a job arrives at a rate of 10

4 10 30,00 P Problem #3 (30 pts) Consider a

4 10 30,00 P Problem #3 (30 pts) Consider a single-machine two station production line to which a job arrives at a rate of 10 per hour. The average process times are 4 and 5 minutes for the first and second station, respectively. (Suppose the inter-arrival and process times are exponential) (a) Find the expected CT, WIP, CT, WIP for each station. (b) Suppose the average process time of the second station is changed to 6 minutes. How does this affect the line performance? (Suppose the inter-arrival times are exponential, but the process times are not. The process times have a mean of 4 minutes and a standard deviation of 9 minutes for the first station, and a mean of 5 minutes and a standard deviation of 6 minutes for the second station.) (c) Find the expected CT, WIP, CT, WIP for each job approximately. (d) Suppose the performances (i.e. for process times) of two stations are switched. Is the line improved, or not? (Compare the average cycle times.) Why does this happen

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