Re: crush multipick anomaly

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Hi,

I modified the crush library to accept two weights (one for the first disk, the other for the remaining disks)[1]. This really is a hack for experimentation purposes only ;-) I was able to run a variation of your code[2] and got the following results which are encouraging. Do you think what I did is sensible ? Or is there a problem I don't see ?

Thanks !

Simulation: R=2 devices capacity [10  8  6 10  8  6 10  8  6]
------------------------------------------------------------------------
Before: All replicas on each hard drive
Expected vs actual use (20000 samples)
 disk 0: 1.39e-01 1.12e-01
 disk 1: 1.11e-01 1.10e-01
 disk 2: 8.33e-02 1.13e-01
 disk 3: 1.39e-01 1.11e-01
 disk 4: 1.11e-01 1.11e-01
 disk 5: 8.33e-02 1.11e-01
 disk 6: 1.39e-01 1.12e-01
 disk 7: 1.11e-01 1.12e-01
 disk 8: 8.33e-02 1.10e-01
it=    1 jac norm=1.59e-01 loss=5.27e-03
it=    2 jac norm=1.55e-01 loss=5.03e-03
...
it=  212 jac norm=1.02e-03 loss=2.41e-07
it=  213 jac norm=1.00e-03 loss=2.31e-07
Converged to desired accuracy :)
After: All replicas on each hard drive
Expected vs actual use (20000 samples)
 disk 0: 1.39e-01 1.42e-01
 disk 1: 1.11e-01 1.09e-01
 disk 2: 8.33e-02 8.37e-02
 disk 3: 1.39e-01 1.40e-01
 disk 4: 1.11e-01 1.13e-01
 disk 5: 8.33e-02 8.08e-02
 disk 6: 1.39e-01 1.38e-01
 disk 7: 1.11e-01 1.09e-01
 disk 8: 8.33e-02 8.48e-02


Simulation: R=2 devices capacity [10 10 10 10  1]
------------------------------------------------------------------------
Before: All replicas on each hard drive
Expected vs actual use (20000 samples)
 disk 0: 2.44e-01 2.36e-01
 disk 1: 2.44e-01 2.38e-01
 disk 2: 2.44e-01 2.34e-01
 disk 3: 2.44e-01 2.38e-01
 disk 4: 2.44e-02 5.37e-02
it=    1 jac norm=2.43e-01 loss=2.98e-03
it=    2 jac norm=2.28e-01 loss=2.47e-03
...
it=   37 jac norm=1.28e-03 loss=3.48e-08
it=   38 jac norm=1.07e-03 loss=2.42e-08
Converged to desired accuracy :)
After: All replicas on each hard drive
Expected vs actual use (20000 samples)
 disk 0: 2.44e-01 2.46e-01
 disk 1: 2.44e-01 2.44e-01
 disk 2: 2.44e-01 2.41e-01
 disk 3: 2.44e-01 2.45e-01
 disk 4: 2.44e-02 2.33e-02


[1] crush hack http://libcrush.org/main/libcrush/commit/6efda297694392d0b07845eb98464a0dcd56fee8
[2] python-crush hack http://libcrush.org/dachary/python-crush/commit/d9202fcd4d17cd2a82b37ec20c1bd25f8f2c4b68

On 03/19/2017 11:31 PM, Loic Dachary wrote:
> Hi Pedro,
> 
> It looks like trying to experiment with crush won't work as expected because crush does not distinguish the probability of selecting the first device from the probability of selecting the second or third device. Am I mistaken ?
> 
> Cheers
> 
> On 03/18/2017 10:21 AM, Loic Dachary wrote:
>> Hi Pedro,
>>
>> I'm going to experiment with what you did at
>>
>> https://github.com/plafl/notebooks/blob/master/replication.ipynb
>>
>> and the latest python-crush published today. A comparison function was added that will help measure the data movement. I'm hoping we can release an offline tool based on your solution. Please let me know if I should wait before diving into this, in case you have unpublished drafts or new ideas.
>>
>> Cheers
>>
>> On 03/09/2017 09:47 AM, Pedro López-Adeva wrote:
>>> Great, thanks for the clarifications.
>>> I also think that the most natural way is to keep just a set of
>>> weights in the CRUSH map and update them inside the algorithm.
>>>
>>> I keep working on it.
>>>
>>>
>>> 2017-03-08 0:06 GMT+01:00 Sage Weil <sage@xxxxxxxxxxxx>:
>>>> Hi Pedro,
>>>>
>>>> Thanks for taking a look at this!  It's a frustrating problem and we
>>>> haven't made much headway.
>>>>
>>>> On Thu, 2 Mar 2017, Pedro López-Adeva wrote:
>>>>> Hi,
>>>>>
>>>>> I will have a look. BTW, I have not progressed that much but I have
>>>>> been thinking about it. In order to adapt the previous algorithm in
>>>>> the python notebook I need to substitute the iteration over all
>>>>> possible devices permutations to iteration over all the possible
>>>>> selections that crush would make. That is the main thing I need to
>>>>> work on.
>>>>>
>>>>> The other thing is of course that weights change for each replica.
>>>>> That is, they cannot be really fixed in the crush map. So the
>>>>> algorithm inside libcrush, not only the weights in the map, need to be
>>>>> changed. The weights in the crush map should reflect then, maybe, the
>>>>> desired usage frequencies. Or maybe each replica should have their own
>>>>> crush map, but then the information about the previous selection
>>>>> should be passed to the next replica placement run so it avoids
>>>>> selecting the same one again.
>>>>
>>>> My suspicion is that the best solution here (whatever that means!)
>>>> leaves the CRUSH weights intact with the desired distribution, and
>>>> then generates a set of derivative weights--probably one set for each
>>>> round/replica/rank.
>>>>
>>>> One nice property of this is that once the support is added to encode
>>>> multiple sets of weights, the algorithm used to generate them is free to
>>>> change and evolve independently.  (In most cases any change is
>>>> CRUSH's mapping behavior is difficult to roll out because all
>>>> parties participating in the cluster have to support any new behavior
>>>> before it is enabled or used.)
>>>>
>>>>> I have a question also. Is there any significant difference between
>>>>> the device selection algorithm description in the paper and its final
>>>>> implementation?
>>>>
>>>> The main difference is the "retry_bucket" behavior was found to be a bad
>>>> idea; any collision or failed()/overload() case triggers the
>>>> retry_descent.
>>>>
>>>> There are other changes, of course, but I don't think they'll impact any
>>>> solution we come with here (or at least any solution can be suitably
>>>> adapted)!
>>>>
>>>> sage
>>> --
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>>>
>>
> 

-- 
Loïc Dachary, Artisan Logiciel Libre
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