Re: [PATCH] Documentation/scheduler/sched-deadline.txt: correct definition of density as C_i/min{D_i,P_i}

From: Henrik Austad
Date: Fri Apr 03 2015 - 13:57:52 EST


On Fri, Apr 03, 2015 at 04:18:33PM +0800, Zhiqiang Zhang wrote:
> From the contex,the definition of the destiny of a task

I'm sure we would all like to have a perfect scheduler, however, knowing
the destiny of a task is a bit beyond what we can do now ;)

> C_i/min{D_i,T_i},where T_i is not referred before, should be
> substituted by C_i/min{D_i,P_i}.

Actually, I'd prefer we use T_i to describe the period and not P because:

- P is easy to confuse with priority - which has _nothing_ to do with
deadline scheduling

- I was going to state that "the litterature is consistent in its usage of
'T_i' for task i's period". But then I dived through some of the books
and of course it isn't. Buttazzo use T, Jane Liu use P and so on.
However, I state that *most* litterature use T_i do denote the period of
task i. Burns & Davis has a nice summary of RT-litterature [1].

So I'd rather prefer a s/P_i/T_i/ throughout the text.

I realise that I've reviewed quite a lot of this, and I have some vague
memories of this being discussed earlier, Juri? Luca?


> ----------------------------------------
>
> Signed-off-by: Zhiqiang Zhang <zhangzhiqiang.zhang@xxxxxxxxxx>
> ---
> Documentation/scheduler/sched-deadline.txt | 4 ++--
> 1 file changed, 2 insertions(+), 2 deletions(-)
>
> diff --git a/Documentation/scheduler/sched-deadline.txt b/Documentation/scheduler/sched-deadline.txt
> index 21461a0..194664b 100644
> --- a/Documentation/scheduler/sched-deadline.txt
> +++ b/Documentation/scheduler/sched-deadline.txt
> @@ -169,8 +169,8 @@ CONTENTS
> of all the tasks executing on a CPU if and only if the total utilisation
> of the tasks running on such a CPU is smaller or equal than 1.
> If D_i != P_i for some task, then it is possible to define the density of
> - a task as C_i/min{D_i,T_i}, and EDF is able to respect all the deadlines
> - of all the tasks running on a CPU if the sum sum_i C_i/min{D_i,T_i} of the
> + a task as C_i/min{D_i,P_i}, and EDF is able to respect all the deadlines
> + of all the tasks running on a CPU if the sum sum_i C_i/min{D_i,P_i} of the

My argument for T_i vs. P_i aside, I do agree that we should not use T_i
here whilst using P_i in other places. We should strive to be internally
consistent above all else.

So *if* we are going to use P_i for period, then this is correct and should
be applied.

> densities of the tasks running on such a CPU is smaller or equal than 1
> (notice that this condition is only sufficient, and not necessary).
>
> --
> 1.9.0
>

Just my $0.02 etc etc :)


1) http://www-users.cs.york.ac.uk/~robdavis/papers/MPSurveyv5.0.pdf

--
Henrik Austad
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