Final_practice

Final_practice - Page 1 ORIE 580 Score Name out of This...

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Page 1 ORIE 580 Name: ___________________________________________ Score: out of This exam is open class notes. Hand-held calculators are allowed, but computers are not. There are 4 questions. Answer all 4 questions. Good luck! 1. (22 points) In a certain service system, customers arrive according to a Poisson process at rate 15 per hour. They first go through approvals, and then have their photo taken at one of 3 photo booths, possibly queueing in front of each location (in two queues: ApprovQ and PhotoQ) if the location is busy. One out of five photos turn out ugly, and the person in question returns to the end of the photo queue to attempt to obtain a better picture. Figure 1 shows the layout graphically. 00000000 00000000 ApprovQ PhotoQ Approvals Photos Figure 1: Layout for the service system. A ProModel model has been developed, and the text file for that model appears on the next page. The output of the model, based on 30 replications each of which lasts 8 hours, appears after the model. Answer the following questions based on this information.
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Page 2 ******************************************************************************** * * * Formatted Listing of Model: * * C:\docs\Teaching\ORIE58~1\Exams\EXAMMO~2.MOD * * * ******************************************************************************** Time Units: Minutes Distance Units: Feet ******************************************************************************** * Locations * ******************************************************************************** Name Cap Units Stats Rules Cost ---------- -------- ----- ----------- --------------- ------------ ApprovQ INFINITE 1 Time Series Oldest, , Approvals 1 1 Time Series Oldest, , PhotoQ INFINITE 1 Time Series Oldest, , Photos 1 3 Time Series Oldest, , First Photos.1 1 1 Time Series Oldest, , Photos.2 1 1 Time Series Oldest, , Photos.3 1 1 Time Series Oldest, , ******************************************************************************** * Entities * ******************************************************************************** Name Speed (fpm) Stats Cost ---------- ------------ ----------- ------------ customer 150 Time Series ******************************************************************************** * Processing * ******************************************************************************** Process Routing Entity Location Operation Blk Output Destination Rule Move Logic -------- --------- ------------------ ---- -------- ----------- ---------- ------------
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Page 3 customer ApprovQ 1 customer Approvals FIRST 1 customer Approvals wait E(3) 1 customer PhotoQ FIRST 1 customer PhotoQ 1 customer Photos FIRST 1 customer Photos wait E(9) 1 customer EXIT 0.800000 1 customer PhotoQ 0.200000 INC ExtraShots ******************************************************************************** * Arrivals * ******************************************************************************** Entity Location Qty each First Time Occurrences Frequency
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Final_practice - Page 1 ORIE 580 Score Name out of This...

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