Problems Simulation Models
 Simulation Models - Parallel Machine Station
 Use the Extend model for the two machine parallel system (Two Machine Parallel.mox) in the Examples/Models and Methods folder. Use a mean interarrival time of 5 minutes and a mean service time of 8 minutes for each station. Measure average number in the queue, average time in the queue and number produced in a 250 minute period. In parts a through d, use simulation to estimate the system measures. a. Use constant service and interarrival times. b. Use constant service time and exponential interarrival time. c. Use exponential service time and constant interarrival time. d. Use exponential service time and exponential interarrival time. e. What observation can you make about the effects of statistical variability on the observed quantities? f. Use queuing formulas to compute mean number in the queue and mean time in the queue for exponential service time and exponential interarrival time. Compare with part d. What observation can you make about the use of analytic formulas versus simulation to estimate these quantities? g. Do part f, but use an average of the results of 10 runs for simulation estimates. h. Compare average number in the queue and average time in the queue with the single channel case with a mean arrival time of 5 minutes and a mean service time of 4 minutes. We note that the efficiencies of both the parallel and single channel systems are the same. Is it better to have two slow machines are one fast machine?

Operations Research Models and Methods
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by Paul A. Jensen