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How to set the waiting time in a queue for a simulation model ?

Posted on 2014-03-19
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Last Modified: 2014-07-31
Hi
I have a simulation model. one arrival point, one queue and one server(M/M/1).

In the real data the waiting time in queue is 160 hours when the number of event was 2183

Now, i have changed the design of the model which the events come to the queue only 776. However, the lambda of arrival time and Mu for service time still same in both models.  

The question is how can I change the waiting time from 160 into appropriate time for this number of event?

I have used Kingman's formula but I've to consider the human factor like the real one.
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Question by:amq10
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TommySzalapski earned 500 total points
ID: 39942915
If the arrival rate is the same, how did the number of events in the queue go down? Did the interval just get smaller?

If the arrival rate and service rate are the same, the average wait time will also be the same.

The reason to use the Poisson distribution in the first place is to try to model the human factor. Unless you have additional info (like more events during rush hour or something) then the Poisson process is probably the best model for the "human factor" so you should be fine already.
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