the number of arrivals (for instance of customers) during an time interval [0,T] is Poisson distributed. But you are not interested in the number, you want to simulate this arrival process. Is that true?
The values of the cycle times are interpreted as interarrival times. When the assumptions for a Poisson process are satisfied, these interarrival times are exponentially distributed.
To model such an arrival process, you can use a Source object with Time of creation = “Interval Adjustable”, Interval distribution is “Negexp”, Start = 0, Stop = 8:00:00.
The distribution parameter beta is the mean value of your observed cycle times ( = interarrival times).