Re: revisiting uneven CRUSH distributions

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Hi Loic,

yes i didn't changed them to straw2 as i didn't saw any difference. I
switched to straw2 now but it didn't change anything at all.

If i use those weights manuall i've to adjust them on every crush change
on the cluster? That's something i don't really like to do.

Greets,
Stefan

Am 02.05.2017 um 01:12 schrieb Loic Dachary:
> It is working, with straw2 (your cluster still is using straw).
> 
> For instance for one host it goes from:
> 
>         ~expected~  ~objects~  ~over/under used %~  ~delta~  ~delta%~
> ~name~
> osd.24         149        159                 6.65     10.0      6.71
> osd.29         149        159                 6.65     10.0      6.71
> osd.0           69         77                11.04      8.0     11.59
> osd.2           69         69                -0.50      0.0      0.00
> osd.42         149        148                -0.73     -1.0     -0.67
> osd.1           69         62               -10.59     -7.0    -10.14
> osd.23          69         62               -10.59     -7.0    -10.14
> osd.36         149        132               -11.46    -17.0    -11.41
> 
> to
> 
>         ~expected~  ~objects~  ~over/under used %~  ~delta~  ~delta%~
> ~name~
> osd.0           69         69                -0.50      0.0      0.00
> osd.23          69         69                -0.50      0.0      0.00
> osd.24         149        149                -0.06      0.0      0.00
> osd.29         149        149                -0.06      0.0      0.00
> osd.36         149        149                -0.06      0.0      0.00
> osd.1           69         68                -1.94     -1.0     -1.45
> osd.2           69         68                -1.94     -1.0     -1.45
> osd.42         149        147                -1.40     -2.0     -1.34
> 
> By changing the weights to
> 
> [0.6609248140022604, 0.9148542821020436, 0.8174711575190294, 0.8870680217468655, 1.6031393139865695, 1.5871079208467038, 1.8784764188501162, 1.7308530904776616]
> 
> And you could set these weights on the crushmap, there would be no need for backporting.
> 
> 
> On 05/01/2017 08:06 PM, Stefan Priebe - Profihost AG wrote:
>> Am 01.05.2017 um 19:47 schrieb Loic Dachary:
>>> Hi Stefan,
>>>
>>> On 05/01/2017 07:15 PM, Stefan Priebe - Profihost AG wrote:
>>>> That sounds amazing! Is there any chance this will be backported to jewel?
>>>
>>> There should be ways to make that work with kraken and jewel. It may not even require a backport. If you know of a cluster with an uneven distribution, it would be great if you could send the crushmap so that I can test the algorithm. I'm still not sure this is the right solution and it would help confirm that.
>>
>> I've lots of them ;-)
>>
>> Will sent you one via private e-mail in some minutes.
>>
>> Greets,
>> Stefan
>>
>>> Cheers
>>>
>>>>
>>>> Greets,
>>>> Stefan
>>>>
>>>> Am 30.04.2017 um 16:15 schrieb Loic Dachary:
>>>>> Hi,
>>>>>
>>>>> Ideally CRUSH distributes PGs evenly on OSDs so that they all fill in
>>>>> the same proportion. If an OSD is 75% full, it is expected that all
>>>>> other OSDs are also 75% full.
>>>>>
>>>>> In reality the distribution is even only when more than 100,000 PGs
>>>>> are distributed in a pool of size 1 (i.e. no replication).
>>>>>
>>>>> In small clusters there are a few thousands PGs and it is not enough
>>>>> to get an even distribution. Running the following with
>>>>> python-crush[1], shows a 15% difference when distributing 1,000 PGs on
>>>>> 6 devices. Only with 1,000,000 PGs does the difference drop under 1%.
>>>>>
>>>>>   for PGs in 1000 10000 100000 1000000 ; do
>>>>>     crush analyze --replication-count 1 \
>>>>>                   --type device \
>>>>>                   --values-count $PGs \
>>>>>                   --rule data \
>>>>>                   --crushmap tests/sample-crushmap.json
>>>>>   done
>>>>>
>>>>> In larger clusters, even though a greater number of PGs are
>>>>> distributed, there are at most a few dozens devices per host and the
>>>>> problem remains. On a machine with 24 OSDs each expected to handle a
>>>>> few hundred PGs, a total of a few thousands PGs are distributed which
>>>>> is not enough to get an even distribution.
>>>>>
>>>>> There is a secondary reason for the distribution to be uneven, when
>>>>> there is more than one replica. The second replica must be on a
>>>>> different device than the first replica. This conditional probability
>>>>> is not taken into account by CRUSH and would create an uneven
>>>>> distribution if more than 10,000 PGs were distributed per OSD[2]. But
>>>>> a given OSD can only handle a few hundred PGs and this conditional
>>>>> probability bias is dominated by the uneven distribution caused by the
>>>>> low number of PGs.
>>>>>
>>>>> The uneven CRUSH distributions are always caused by a low number of
>>>>> samples, even in large clusters. Since this noise (i.e. the difference
>>>>> between the desired distribution and the actual distribution) is
>>>>> random, it cannot be fixed by optimizations methods.  The
>>>>> Nedler-Mead[3] simplex converges to a local minimum that is far from
>>>>> the optimal minimum in many cases. Broyden–Fletcher–Goldfarb–Shanno[4]
>>>>> fails to find a gradient that would allow it to converge faster. And
>>>>> even if it did, the local minimum found would be as often wrong as
>>>>> with Nedler-Mead, only it would go faster. A least mean squares
>>>>> filter[5] is equally unable to suppress the noise created by the
>>>>> uneven distribution because no coefficients can model a random noise.
>>>>>
>>>>> With that in mind, I implemented a simple optimization algorithm[6]
>>>>> which was first suggested by Thierry Delamare a few weeks ago. It goes
>>>>> like this:
>>>>>
>>>>>     - Distribute the desired number of PGs[7]
>>>>>     - Subtract 1% of the weight of the OSD that is the most over used
>>>>>     - Add the subtracted weight to the OSD that is the most under used
>>>>>     - Repeat until the Kullback–Leibler divergence[8] is small enough
>>>>>
>>>>> Quoting Adam Kupczyk, this works because:
>>>>>
>>>>>   "...CRUSH is not random proces at all, it behaves in numerically
>>>>>    stable way.  Specifically, if we increase weight on one node, we
>>>>>    will get more PGs on this node and less on every other node:
>>>>>    CRUSH([10.1, 10, 10, 5, 5]) -> [146(+3), 152, 156(-2), 70(-1), 76]"
>>>>>
>>>>> A nice side effect of this optimization algorithm is that it does not
>>>>> change the weight of the bucket containing the items being
>>>>> optimized. It is local to a bucket with no influence on the other
>>>>> parts of the crushmap (modulo the conditional probability bias).
>>>>>
>>>>> In all tests the situation improves at least by an order of
>>>>> magnitude. For instance when there is a 30% difference between two
>>>>> OSDs, it is down to less than 3% after optimization.
>>>>>
>>>>> The tests for the optimization method can be run with
>>>>>
>>>>>    git clone -b wip-fix-2 http://libcrush.org/dachary/python-crush.git
>>>>>    tox -e py27 -- -s -vv -k test_fix tests/test_analyze.py
>>>>>
>>>>> If anyone think of a reason why this algorithm won't work in some
>>>>> cases, please speak up :-)
>>>>>
>>>>> Cheers
>>>>>
>>>>> [1] python-crush http://crush.readthedocs.io/
>>>>> [2] crush multipick anomaly http://marc.info/?l=ceph-devel&m=148539995928656&w=2
>>>>> [3] Nedler-Mead https://en.wikipedia.org/wiki/Nelder%E2%80%93Mead_method
>>>>> [4] L-BFGS-B https://docs.scipy.org/doc/scipy-0.18.1/reference/optimize.minimize-lbfgsb.html#optimize-minimize-lbfgsb
>>>>> [5] Least mean squares filter https://en.wikipedia.org/wiki/Least_mean_squares_filter
>>>>> [6] http://libcrush.org/dachary/python-crush/blob/c6af9bbcbef7123af84ee4d75d63dd1b967213a2/tests/test_analyze.py#L39
>>>>> [7] Predicting Ceph PG placement http://dachary.org/?p=4020
>>>>> [8] Kullback–Leibler divergence https://en.wikipedia.org/wiki/Kullback%E2%80%93Leibler_divergence
>>>>>
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