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1. Consider a production system that consists of a single station with a production rate of 1 part per minute and process variability given
1. Consider a production system that consists of a single station with a production rate of 1 part per minute and process variability given by ce = 1. - (a) Suppose the system is run as a push line with release rate of 0.9 parts per minute and Ca = 1. Use the VUT equation to compute the average cycle time and the average number of parts in the system. Then calculate what happens to the average cycle time and number of parts in the system if process variability is eliminated so that ce =0 (but arrival variability is unchanged). (b) Now suppose the system is run as a CONWIP line with a WIP level of 1 job and has original variability levels Ce = Ca = 1. What is the average throughput rate and cycle time? What happens to throughput and cycle time if we eliminate process variability so that ce = 0? (c) Which system is more efficient in terms of generating high throughput with low WIP? (d) How does the impact of variability differ in the push and pull systems? What about this example made the difference so pronounced? 1. Consider a production system that consists of a single station with a production rate of 1 part per minute and process variability given by ce = 1. - (a) Suppose the system is run as a push line with release rate of 0.9 parts per minute and Ca = 1. Use the VUT equation to compute the average cycle time and the average number of parts in the system. Then calculate what happens to the average cycle time and number of parts in the system if process variability is eliminated so that ce =0 (but arrival variability is unchanged). (b) Now suppose the system is run as a CONWIP line with a WIP level of 1 job and has original variability levels Ce = Ca = 1. What is the average throughput rate and cycle time? What happens to throughput and cycle time if we eliminate process variability so that ce = 0? (c) Which system is more efficient in terms of generating high throughput with low WIP? (d) How does the impact of variability differ in the push and pull systems? What about this example made the difference so pronounced?
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