An average of 1200 parts arrive to the EP chamber during an 8-hour workday. Each part goes through two stages of processing. At each stage, a single product is processed at a time, and processing takes an average of 15 seconds at the first station and 12 seconds at the second station. Inter-arrival times and service times are exponentially distributed. At the end of the second step, the product goes through a quality check. 5% of the parts fail the quality check and are sent back to the second stage of service. Parts exit the system only after they pass the quality check. Ignoring the time required to perform the quality check or in moving the part through the facility, what is the average cycle time for parts?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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An average of 1200 parts arrive to the EP chamber during an 8-hour workday. Each part goes through two stages of processing. At each stage, a single product is processed at a time, and processing takes an average of 15 seconds at the first station and 12 seconds at the second station. Inter-arrival times and service times are exponentially distributed. At the end of the second step, the product goes through a quality check. 5% of the parts fail the quality check and are sent back to the second stage of service. Parts exit the system only after they pass the quality check. Ignoring the time required to perform the quality check or in moving the part through the facility, what is the average cycle time for parts?

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