> You somehow directly jump to
>
> balanced_rate = task_ratelimit_200ms * write_bw / dirty_rate
>
> without explaining why following will not work.
>
> balanced_rate_(i+1) = balance_rate(i) * write_bw / dirty_rate
Thanks for asking that, it's probably the root of confusions, so let
me answer it standalone.
It's actually pretty simple to explain this equation:
write_bw
balanced_rate = task_ratelimit_200ms * ---------- (1)
dirty_rate
If there are N dd tasks, each task is throttled at task_ratelimit_200ms
for the past 200ms, we are going to measure the overall bdi dirty rate
dirty_rate = N * task_ratelimit_200ms (2)
put (2) into (1) we get
balanced_rate = write_bw / N (3)
So equation (1) is the right estimation to get the desired target (3).
As for
write_bw
balanced_rate_(i+1) = balanced_rate_(i) * ---------- (4)
dirty_rate
Let's compare it with the "expanded" form of (1):
write_bw
balanced_rate_(i+1) = balanced_rate_(i) * pos_ratio * ---------- (5)
dirty_rate
So the difference lies in pos_ratio.
Believe it or not, it's exactly the seemingly use of pos_ratio that
makes (5) independent(*) of the position control.
Why? Look at (4), assume the system is in a state
- dirty rate is already balanced, ie. balanced_rate_(i) = write_bw / N
- dirty position is not balanced, for example pos_ratio = 0.5
balance_dirty_pages() will be rate limiting each tasks at half the
balanced dirty rate, yielding a measured
dirty_rate = write_bw / 2 (6)
Put (6) into (4), we get
balanced_rate_(i+1) = balanced_rate_(i) * 2
= (write_bw / N) * 2
That means, any position imbalance will lead to balanced_rate
estimation errors if we follow (4). Whereas if (1)/(5) is used, we
always get the right balanced dirty ratelimit value whether or not
(pos_ratio == 1.0), hence make the rate estimation independent(*) of
dirty position control.
(*) independent as in real values, not the seemingly relations in equation
Thanks,
Fengguang
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