A machine operator processes two types of jobs, A and B, during the course of the day. Analyses of past data show that 40% of all jobs are type A jobs, and 60% are type B jobs. Type A jobs have completion times that can be represented by an Erlang distribution with rate parameter 5 and shape parameter 2. Completion times of type B jobs can be represented by the following triangular distribution:
x-1 1x4
12
f(x) = 9-x 4x9
20
If jobs arrive at an exponential rate of 10 per hour, develop a simulation model to calculate the percentage of idle time of the operator and the average number of jobs in the line waiting to be processed.
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