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I have a requirement where in I need to sleep for a Poisson duration before sending the next packet. The current formula I can think of is
( e^(-lambda) X lambda^t ) / fact(t)
However, for time steps 280 and more the fact(t) would become obsolete due to overflow.
Can someone help me workaround this conventional way in VB .NET?
I think you are looking for the inter-arrival time. A random inter-arrival time can be generated using
The formula you posted is the one that defines the probability that there are exactly t (in your case) arrivals within a specific time period.
See the Wikipedia article on generating Poisson distributions.