How do I model POISSON arrivals ?

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ROBERT SOUSEK

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Jul 3, 2018, 11:33:23 AM7/3/18
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I noticed in the distribution section there is no provision for random numbers from a poisson distribution.
.  What do I use as a substitute?

Harry King

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Jul 3, 2018, 12:55:08 PM7/3/18
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Robert,

The inter-arrival times for the events in a Poisson process follow a negative-exponential distribution. The ExponentialDistribution object implements this distribution in JaamSim.

Do you want to actually sample a Poisson distribution? We haven't implemented any of the discrete distributions such as Poisson, Binomial, etc. simply because we couldn't think of a use case. If this is what you need, you can calculate the probabilities for each outcome from a Poisson distribution and enter them in a DiscreteDistribution.

Harry

ROBERT SOUSEK

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Jul 3, 2018, 1:54:49 PM7/3/18
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OK, I knew there was another way.  However, the academic types(Industrial Engineering. Operations Research) would probably like to see those discrete distributions.  
The Birth/Death Process (Poisson arrivals, Exponential service times) may be a big selling pont/feature as you try to implement JaamSim into the universities...

Jose Antonio Medrano Garcia

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Jul 4, 2018, 11:19:47 AM7/4/18
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Remember that for a Poisson process,  rate of arrival = 1/inter-arrival time and the inter-arrival time for a Poisson process is exponential so  you can use that workaround.
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