in queue theory, you don't expect "operating rooms" to operate 24 hours per day - spherical patients may have a gap, which causes the room to not work for some time, but then jamboree happens and it averages out
doubling the cows input doesn't mean each "burst" becomes twice as big - some of the new cows can simply fall into periods that previously weren't used
thus the second portion of patients don't need a whole second copy of all operating rooms - part of them get gobbled into inactive timeslots of already existing resources
(so it seems putting two stochastic processes on top of each other is not like putting two "solid" things on top of each other, right? intuitively they mesh, I guess their stacking height is their "expected value"?
and their worst case will be the sum of their worst cases, where there's no averaging, right? so again intuitively a the larger a flow is the more dangerous is, even if it's smooth, because if it backs up it fills up queues/buffers faster, so to plan for extreme cases we still need "linear" thinking)
Kind of yes. Stacking two stochastic processes simply adds up the expectation value but not the noise/dispersion/volatility. That variation adds as a sum of squares.
If you push utilisation towards 1, what you essentially do is push the next "free" slot farther and farther into the future. This, essentially, means that you always buy higher utilisation with longer latency (at least in the upper bound). But the good thing is: If you have enough numbers, then the maximum latency grows slower with utilisation.
in queue theory, you don't expect "operating rooms" to operate 24 hours per day - spherical patients may have a gap, which causes the room to not work for some time, but then jamboree happens and it averages out
doubling the cows input doesn't mean each "burst" becomes twice as big - some of the new cows can simply fall into periods that previously weren't used
thus the second portion of patients don't need a whole second copy of all operating rooms - part of them get gobbled into inactive timeslots of already existing resources