Question: Question about stochastic process

Dear All

I need your help about one probability and stochastic problem.
Suppose that there is one file with size of s packets.
There is a Poisson process that generates the requests for this file.
Each request will lead to s consecutive requests (packet requests) with constatnt rate r.
It means that requests for file are generated by Poisson process and each file request generate s packet requests with constant rate r.(time between packet request of one file is 1/r)
How can I caclculate the distribution of total packet requests?
Is it possible at all to calculate it?
Be carefull that each file request dies in s/r second(after requests all packets)

Thanks a lot.

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