I have an inter arrival rate of a queue described by a continuous uniform distribution [0,freeParam]. I am trying to model such a queue using Kendall notation and confused whether continuous uniform distribution comes under Poisson process? Basically what to consider M/M/1 or G/M/1 if my service time is exponential. Thank you in advance for your help.
I did lot of study but couldn't find any justification or a clear understanding of what to be considered. Might be i am not understanding the basics right but any help on this would be very helpful. Thank you
What do you mean by "inter arrival rate"?
If you mean that inter-arrival times are uniformly distributed, then the answer is no. The arrival process is not Poisson and the queue is a G/M/1.
The arrival process is only Poisson if the inter-arrival times follow an exponential distribution.