# Lecture 7 - An Application Problem in Probability Modeling...

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An Application Problem in Probability Modeling: An engineer at a U.S. State Department document processing facility has designed a passport application file review system staffed by five operators working independently. The job design predicts a seven minute cycle time for each application. At the completion of each cycle, operators attempt to place reviewed files on a tray mounted on a rotating file accumulation carousel where the rotation speed is adjusted so that one carrier passes each station every 60 seconds. When an operator completes the inspection of a file, he/she attempts to load it onto a vacant tray on the carrier currently passing through the workstation if one of the two trays on that carrier is vacant when passing through that station. Otherwise, the file is set aside in a buffer. Determine the expected number of files in the buffer after an eight hour shift.

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n=5 WC’s, 7 minutes cycle, 1 carrier passes per minute, y= 2 load positions (trays) per carrier.
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