LAB EXERCISE 1 A small manufacturing department contains three serial workstations each with a special machine to process the parts. Parts arrive according to an exponential interarrival-time distribution with a mean of 8 (all times are given in minutes), with the first parts arriving at time 0. Before a new part can start processing, it must be mounted on fixtures, and this mounting operation takes 2 minutes). The part remains on the fixture until it completes processing on all the workstations, at which time it is removed from the fixture (this removal operation takes 1 minute), after which the fixture becomes available for another part that might be waiting for it. Processing times at the first workstation have a high frequency of 7 and can be as low as 4 but do not exceed 9. Processing times at the second workstation have a lower and upper bound of 5 and 10 respectively. Processing times at the third workstation do not exceed 9 but with a minimum of 5, and usually 6.5. Run your simulation for a single replication of length 48 hours. This is scenario one (1). Page 4 of 5 Determine the time-average and maximum work-in-process (WIP) in the whole system. At each workstation separately, Determine the average time spent in the queue and maximum queue length. (All results must be reported in minutes). What key assumptions are required to model the workstations, the Mounting station and the offloading station. If it costs R3000 to keep a part in the right condition before being processed at a workstation, how much should the company budget to ensure parts are in the right condition? SCENARIO TWO (2) Due to some raw materials defects identified in the parts, it is decided that 70% of the parts out of the first workstation will need to go through some reworking. This will be conducted by a robot working with a Log standard deviation of 6 and Log Mean of 20. After this, the parts are sent back to workstation two to continue the process. Run this for a 48-hour run period and assume a single replication. Report on the total number of parts produced and the time-average in the system of parts. What is the impact of the raw material defects on the total number of parts produced? SCENARIO THREE (3) After reworking the parts in scenario two (2) the robot has identified 10% of the parts are unfit to continue into the process. Report on the total number of parts produced and the time-average in the system of parts. What is the impact of the raw material defects on the total number of parts produced?