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Kits of ceiling fans arrive at an assembly system with TRIA (2, 5, 10) inter-arrival times (all times in minutes). There are four assembly operators

Kits of ceiling fans arrive at an assembly system with TRIA (2, 5, 10) inter-arrival times (all times in minutes). There are four assembly operators and the kits are automatically sent to the first available operator for assembly. The fan assembly time is operator-dependent as given below:

Operator

Assembly Time

1

TRIA (15, 18, 21)

2

TRIA (16, 19, 22)

3

TRIA (16, 20, 24)

4

TRIA (17, 20, 23)

Upon completion of the assembly process, the fans are inspected with approximately 7% being found defective. A defective fan is sent back for repair to the same operator who assembled it. These defective fans have priority over incoming kits. Since the fan needs to be disassembled and then reassembled, the repair time is assumed to be 30% greater than the normal assembly time. Note that a defective fan has the same chance of remaining defective after repair (7%) and thus could need to be repaired again.

Run your model for 20,000 minutes per replication and collect statistics on operator utilization and the average time in the system.

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