Consider n processes sharing the cpu in a round-robin fashion. Assuming that each process switch takes s seconds, what must be the quantum size q such that the overhead resulting from process switching is minimized but, at the same time, each process is guaranteed to get its turn at the cpu at least every t seconds ?
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Every process will get CPU for ( q) seconds and each process wants CPU again after t seconds.
Thus, there will be (n-1) processes once after current process gets CPU again. Each process takes s seconds for context switch.
Hence
(Qp1)(s)(Qp2)(s)(Qp3)(s)(Qp1)
It can be seen that since P1 left and arrived again, there have been n context switches and (n-1) processes. Thus, equation will be:
q*(n-1) + n*s
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