Jobs arrive at a workshop, which has two work centers (A and B) in series, at an exponential rate of 5 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 line in front of center B has space for only 4 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, 10]. The processing time for a job at center B is represented by the following triangular distribution:
Develop a simulation model of this system to determine the following measures of performance:
(1) the expected number of jobs in the workshop at any given time,
(2) the percentage of time center A is shut down because of shortage of queuing space in front of center B, and
(3) the expected completion time of a job.