Problem Set: A. Solve the following problems: - 1,3 and 5 at the end of Chapter 8 of your textbook. - 11 at the end of Chapter 9 of your textbook. - Consider a G/G/1 station operated at 95% of its effective processing capacity. The station is fed with parts at a deterministically paced rate of one part per 10 minutes and the average waiting time experienced by a part before it enters the server is equal to 45 minutes. Use the above information in order to compute the mean and the variance of the part inter-departure times. - Consider a production line consisting of two single-machine stations. The operational characteristics of these two stations are as follows: Answer the following questions: i. Which station is the effective bottleneck of the line? ii. Can the line sustain a production rate of 35 parts over an eight-hour shift? iii. Suppose that parts are released to the line in a deterministic manner, with constant inter-release times, and the resulting mean cycle time at Station 1 , CT1, is equal to 2 hours and 7.815 minutes. What is the length of the inter-release intervals? iv. What is the average WIP waiting for processing at Station 1 under the assumptions of item (iii) above? v. Provide estimates for the mean and the variance of the part inter-arrival times at Station 2, under the assumptions stated in item (iii) above. Problem Set: A. Solve the following problems: - 1,3 and 5 at the end of Chapter 8 of your textbook. - 11 at the end of Chapter 9 of your textbook. - Consider a G/G/1 station operated at 95% of its effective processing capacity. The station is fed with parts at a deterministically paced rate of one part per 10 minutes and the average waiting time experienced by a part before it enters the server is equal to 45 minutes. Use the above information in order to compute the mean and the variance of the part inter-departure times. - Consider a production line consisting of two single-machine stations. The operational characteristics of these two stations are as follows: Answer the following questions: i. Which station is the effective bottleneck of the line? ii. Can the line sustain a production rate of 35 parts over an eight-hour shift? iii. Suppose that parts are released to the line in a deterministic manner, with constant inter-release times, and the resulting mean cycle time at Station 1 , CT1, is equal to 2 hours and 7.815 minutes. What is the length of the inter-release intervals? iv. What is the average WIP waiting for processing at Station 1 under the assumptions of item (iii) above? v. Provide estimates for the mean and the variance of the part inter-arrival times at Station 2, under the assumptions stated in item (iii) above
