3.3.2.3 Queuing application

A system (for instance a processor) processes jobs (such as computations) in synchronized manner. A waiting room (buffer) allows to store jobs before they are processed. The instants of synchronization are numbered c03-math-0800 and c03-math-0801 denotes the number of jobs in the system just after time c03-math-0802.

Between time c03-math-0803 and time c03-math-0804, a random number c03-math-0805 of new jobs arrive, and up to a random number c03-math-0806 of the c03-math-0807 jobs already there can be processed, so that

equation

In a simple special case, there is an integer c03-math-0809 s.t. ...

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