Skill C5. Evaluate the practical-worst-case performance (TH) of the board fab line in Skill C1 when WIP (w) = 4 boards.

Skill C1.  Consider a production line (the “board fab line”) that has two workstations that make printed circuit boards.  Boards go from the MMOD workstation to the SIP workstation. The MMOD workstation processes printed circuit boards using one machine; using this machine, the average effective processing time is 71 minutes (per board), and the process time SCV = 0.2.  Boards arrive at the rate of 0.84 boards per hour.  The arrival SCV = 0.8.  After the MMOD workstation, the printed circuit boards go to a second workstation (SIP) at which the boards are processed by two machines (working in parallel).  At this workstation, the average effective processing time is 60 minutes (per part), and the process time SCV = 2.0.  What is the cycle time of this production line (in minutes)?What is the WIP of this production line?

Skill B3. Consider a workstation with a single server.  The mean processing time is 40 minutes, and the standard deviation of the processing time equals 20 minutes.  The arrival rate is 1 part per hour.  The standard deviation of the interarrival time equals 30 minutes.  What is the average cycle time (in minutes) at this workstation?

Skill B4. Consider a toll booth that has five open lanes to serve arriving vehicles.  The mean processing time is 15 seconds, and the standard deviation of the processing time equals 15.  The arrival rate = 400 cars per hour, and arrival SCV equals 1.5.  What is the average cycle time (in minutes) at this toll booth?  

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