I need a math expert that can come up with a forumla but discuss it in mathmatical detail. I want it to be very high-level and very good.
In a computer system there are Jobs (Processes) that re-arrive periodically.
For example, if there are two Jobs: J1 and J1.
J2's service time (Completion time) is R2, it comes every T2 = 2 seconds.
J1's service time (Completion time) is R1, it comes every T1 =1 seconds
I want to determine the NUMBER of times J1 re-arrives during J2's time.
If J1 re-arrives periodically then n1 = R2/T1. That means J1 re-arrives n1 times. This is upper bound.
If R1>T1, then If J1 re-arrives periodically then n2 = R2/R1. That means J1 re-arrives n2 times during J2's time. This is the lower bound.
I want a very good math formula , that can help show the "Most Likely value" (a number between n1 and n2).