Jobs arrive at a workshop, which has two work centers $($A and B$)$ in series, at an exponential rate

of $12$ per hour. Each job requires processing at both these work centers, first on A and then on

B$.$ Jobs waiting to be processed at each center can wait in line; the line in front of work center A

has unlimited space, and the queue in front of center B has space for only $2$ jobs at a time. If this

space reaches its capacity, jobs cannot leave center A$.$ In other words, center A stops processing

until space becomes available in front of $B.$ The processing time for a job at center $A$ is uniformly

distributed over the range $6,18.$ The processing time for a job at center $B$ is represented by the

triangular with parameters $(min=5,$mode$=10,$max$=15).$ Suppose, we want to simulate the

operation of these work centers to see what is going on in the system.

a$.$ For this purpose, describe the entities and activities.

b$.$ Please describe the states and events if you are interested in the following performance

measures: average number of jobs at each work center, percentage of time that center A

is shut down because of the shortage of queueing space in front of center B and the

average completion time of a job.

c$.$ What are event notices in the simulation? Write down the notation along with their

description.

d$.$ What $($cumulative$)$ statistics would you keep track in order to calculate the performance

measures in part $($b$).$ Please, write the expressions.

e$.$ Simulate the operation of this system, starting with an empty system until at least ten jobs

depart from the system. Calculate the above performance measures in part $($b$).($For the