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...

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.