# Open Jackson network with deterministic arrivals.

Dear Friends,

Is there any known Jackson-like theorem for an open Jackson network with deterministic arrivals?

Thanks, Michael.

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Can you explain what you mean by "deterministic arrivals" with some more detail? Do you want to go away from a probabilistic Markov process to a deterministic process? Are the times discrete? Are the arrivals still poisson distributed or are the arrivals coming at fixed intervals? Do you mean "fixed inter-arrival delays" for deterministic? Also, explaining a bit more about queuing theory in your question and exactly what you're doing and why would also be helpful. –  sleepless in beantown Nov 11 '10 at 15:37
I mean the following: service time at every queue is distributed exponentially, and the external arrivals to the system are coming at fixed intervals (i.e., instead of Poisson($\lambda$), arrivals occur at fixed time interval of $\tfrac{1}{\lambda}$). The time is continuous. Thank you. –  Michael Nov 12 '10 at 0:13