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4-2 Develop a model of a simple serial two-process system.
Items arrive at the system with a mean time between arrivals of 10
minutes, with the first arrival at time 0. They are immediately sent to
Process 1, which has a single resource with a mean service time of 9
minutes. Upon completion, they are sent to Process 2, which is
identical to (but independent of) Process 1 . Items depart the system
upon completion of Process 2. Performance measures of interest are the
average numbers in queue at each process and the total time in system
of items. Using a replication length of 10,000 minutes, make the
following four runs and compare the results (noting that the structure
of the model is unchanged and it's only the input distributions that
are changing):
Run 1: exponential interarrival times and exponential service times
Run 2: constant interarrival times and exponential service times
Run 3: exponential interarrival times and constant service times
Run 4: constant interarrival times and constant service times
Extend the problem by making the additional runs below using an Erlang distributions. Use ERLA(10/3,3) for interarrivals and ERLA(3,3) for service times.
Run 5: Erlang interarrival times and Erlang service times
Run 6: constant interarrival times and Erlang service times
Run 7: Erlang interarrival times and constant service times