I am using queuing theory to model a router. I have a model that assumes Poisson traffic and I need to modify it as my actual traffic is not Poisson
I want to ask what's the main difference between Poisson arrivals and general arrivals in terms of results ?
ie what are the formulas that don't hold if we don't have Poisson assumption ?
For general inter-arrival times instead of Possion, the formulas are expressed in terms of a general cumulative distribution function $F(x)$ so to use them you need to have a distribution in mind.
Look at Introduction to Probability Models Eleventh Edition by Sheldon M. Ross for reference.