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Hello everyone,

I am doing simulation of crowd movements and behaviors. I have developed a very flexible simulator platform (it has taken a year) which can simulate almost 100,000 pedestrians in real time. I wanted to check statistical distributions I use in my simulation.

1- What is the distribution of the people entering a building in a second? (I appreciate if someone can give me the mathematical form). During last week I have seen tens of different distributions referring to Poisson distribution.

I need a function which I give the "average number of people entering in a second" and then I can generate number of people for each second in my program.

2- For some activities people wait in a place for some time (for example wait behind a shop window to look at goods). Is this similar to service time? What distribution we use for this one? (again I tried normal distribution but it sometimes produces negative and sometimes very big values while for example people stand behind a window something between 30s and 60s)

3- What about service time? (for example in the counter of a food shop waiting to get your food) Should I use Poisson distribution? What form of it?

4- The problem after this step is that I have found a Java random number toolkit (colt from cern lab) but it has its own definitions of distributions again!!!

Thank you very much for your time and wish you a good weekend.

Regards,

Mac

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# Arrival,wait and service distributions

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