How do I generate discrete random events with a Poisson distribution?

Question

I\'m aware of Knuth\'s algorithm for generating random Poisson distributed numbers (below in Java) but how do I translate that into calling a method, generateEvent()

Answer 1

If you are looking to simulate the inter-event arrival time, you want the exponential distribution.

Take a look at Pseudorandom Number Generator - Exponential Distribution

Your code would then look like this:

// Note L == 1 / lambda
public double poissonRandomInterarrivalDelay(double L) {
    return (Math.log(1.0-Math.random())/-L;
}

...

while (true){
    // Note -- lambda is 5 seconds, convert to milleseconds
    long interval= (long)poissonRandomInterarrivalDelay(5.0*1000.0);
    try {
        Thread.sleep(interval);
        fireEvent();
}