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Date:	Thu, 2 Oct 2008 20:31:58 -0400
From:	Neil Horman <nhorman@...driver.com>
To:	Eric Dumazet <dada1@...mosbay.com>
Cc:	Bill Fink <billfink@...dspring.com>,
	David Miller <davem@...emloft.net>, netdev@...r.kernel.org,
	kuznet@....inr.ac.ru, pekkas@...core.fi, jmorris@...ei.org,
	yoshfuji@...ux-ipv6.org, kaber@...sh.net,
	Evgeniy Polyakov <johnpol@....mipt.ru>
Subject: Re: [PATCH] net: implement emergency route cache rebulds when
	gc_elasticity is exceeded

On Thu, Oct 02, 2008 at 10:15:38AM +0200, Eric Dumazet wrote:
> Eric Dumazet a écrit :
>> Bill Fink a écrit :
>>> On Wed, 1 Oct 2008, Neil Horman wrote:
>>>
>>>> Hey all-
>>>>     Since Eric mentioned the use of statistical analysis to determine if
>>>> hash chains were growing improperly, I thought I would take a stab 
>>>> at such an
>>>> approach.  I'm no statistics expert, but it would seem to me that simply
>>>> computing the standard deviation of all the non-zero chain lengths  
>>>> would give a
>>>> good guide point to determine if we needed to invalidate our hash  
>>>> table.  I've
>>>> written the below implementation.  I've not tested it (I'll be 
>>>> doing that here
>>>> shortly for the next few days), but I wanted to post it to get  
>>>> feedback from you
>>>> all on the subject.  The highlights are:
>>>>
>>>> 1) We add a counter to rt_hash_bucket structure to track the length 
>>>> of each
>>>> individual chain.  I realize this is sub-optimal, as it adds  
>>>> potentially lots of
>>>> memory to hash table as a whole (4 bytes * number of hash buckets). 
>>>>  I'm afraid
>>>> I've not come up with a better way to track that yet.  We also 
>>>> track the total
>>>> number of route entries and the number of non-zero length chains.   
>>>> Lastly we
>>>> also maintain a global maximum chain length which defines the 
>>>> longest chain we
>>>> will tolerate in the route table.  This patch defines it as the 
>>>> mean chain
>>>> length plus one standard deviation.
>>>
>>> I believe the general rule of thumb for something like this is at
>>> least two standard deviations.  For a normal distribution, one standard
>>> deviation covers about 68 % of the sample universe, while two standard
>>> deviations covers about 95 % (three standard deviations covers 99.73 %).
>>> See the Wikipedia entry:
>>>
>>>     http://en.wikipedia.org/wiki/Standard_deviation
>>>
>>
>> Thanks Bill for the pointer, this is the trick.
>>
>> I believe we should target "4σ 99.993666% " case.
>>
>> But we dont need to really compute Standard deviation at runtime, only  
>> find an (upper) approximation of it.
>>
>> For elasticity=4 and 512*1024 samples (mean < 4), I guess 4σ can be  
>> approximated by 20 or something.
>>
>
> Good estimation of Standard Deviation could be computed for free
> in rt_check_expire(). (each runs scans 20% of hash table with default 
> tunables timeout & ip_rt_gc_interval)
>
> We could update 4σ estimation in this function, every minute (ip_rt_gc_interval)
>
> At softirq time we then can detect a particular hash chain is
> longer than 4σ estimation and trigger an appropriate action.
>
> This action is to : flush table, and while we do that, expand hash table
> if its current size is under ip_rt_max_size/elasticity...
>

That is a good idea. I'm still testing the last patch I posted, and Its going
pretty well (I did find a few bugs, so I'll be reposting when I'm done).  Doing
the update on demand when seem to be pretty quick, but I'll rewrite to gather
stats on how long it take specifically, and then rewrite/compare to your
suggested implementation above.  It seems like the above would save space in the
hash table, as I could eliminate the chain_length counter per hash bucket.
On the down side though, I don't know if a 1 minute garbage collection interval
would allow too much of a window to grow a chain in (i.e. we could check chain
lengths against a too small standard deviation value, and trigger a cache
rebuild unnecessecarily).  Just thinking out loud, I've not got any evidence to
support or contradict that

Best
Neil

>
>
>
>
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