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Two alternative machines are being compared. Machine M has an average effective process time of 5 hours with a variance of 4 hours squared.

 

Two alternative machines are being compared. Machine M has an average effective process time of 5 hours with a variance of 4 hours squared. Machine M has a shorter effective process time of 4 hours but a variance of 9 hours squared. Do the following analysis to compare the two machines. A. [10 marks] Assume one job arrives every 6 hours exactly without any deviation. Compare the two machines for cycle time and work in process. Which machine would you recommend? Explain your answer. B. [10 marks] Repeat part A if the arrivals happen at the same rate but with exponential interarrival times. C. [10 marks] Repeat part A and B if the arrival rate is decreased by 20%. D. [10 marks] Repeat part A and B if the arrival rate is increased by 20%.

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M 1 M 2 Interarrival time t a 6 6 Average service time t e 5 4 The variance of service time s e 2 4 9 SCV for interarival time c a 2 0 0 SCV for service time c e 2 0160 0563 Utilization u 0833 0667 V ... blur-text-image

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