Use the Extend model for the single machine station (Single
Machine.mox) in the Examples/Models and Methods folder.
Use a mean interarrival time of 5 minutes and a mean service
time of 4 minutes. Measure average number in the queue, average
time in the queue and number produced in a 250 minute period.
a. Assume constant service and interarrival times. Use simulation
to estimate the system measures.
b. Assume constant service time and exponential interarrival
time distribution. Use simulation to estimate the system measures.
c. Assume exponential service time distribution and constant
interarrival time. Use simulation to estimate the system measures.
d. Assume exponential service time and interarrival time distributions.
Use simulation to estimate the system measures.
e. What observation can you make about the effects of statistical
variability on the system measures?
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 the simulated results
of 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. For case d plot a curve of average time in the queue as
a function of mean service time as mean service time varies
between 3 and 5 minutes. Use simulation to obtain these results.
What observation can you make about the effects of the relative
values of mean service time and mean arrival time on these quantities?
Use an average of the results of 10 runs for simulation estimates.
