Poisson process: exponential inter arrival time vs exponential holding time
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Inter arrival times in a Possion process is exponentially distributed. So I assume when I use the below command the ouputs follow that definition.
services= poissrnd(20,1,4) %like for 4 time units. t=1,2,3,4
But I want a traffic generation where each traffic service also has a service duration which is exponentially distributed. I believe this is different from the exp inter-arrival time aspect.
So, how can I generate a duration for each service that is exp distributed so that I can depart it from the system once that duration is over. Do I need separate exp distribution? How can i connect the two then?
For e.g."Poisson process with an avg. arrival rate of λ requests per time-unit, and the lifetime of each request following negative exponential distribution with an average of 1/μ time units. So that the traffic load is λ/μ"
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