Easy. The most important, least redundant, and single points of failure will
fail next.
On Sep 9, 2011 8:33 PM, "Mike Nute" <[email protected]> wrote:
> IMO, the best approach would depend on your beliefs about the survival
curve of the server. If you believe the general hazard rate is relatively
constant (i.e. time-since-startup is not a huge factor) you could make it
into a basic time series logistic regression problem: Let Y_i_t be 1 if
server i fails at time t, 0 if it does not. Let X_i_(t-1) be the vector of
measurements on server i at time (t-1). Then do logistic regression of X on
Y. You could then add X_i_(t-2) to your predictors and see if it adds
accuracy, and so on with previous time periods until they stop being
predictive.
>
> That would also facilitate experimenting with transformations like the
change in certain measurements at (t-1), (t-2), etc..., or interactions
between certain measurements.
>
> If different failure classes are important, you could similarly apply that
to multinomial logistic regression.
>
> If the failure rate depends heavily on time since startup, you could apply
some kind of survival modeling technique like a Cox Proportional Hazard
model or incorporating some prior belief about the shape of the survival
curve. That could end up being technically similar to the logistic
regression above, but with a more exotic link function and/or offset term.
(I have a good brief chapter on the CPH model from an old actuarial exam
study guide in pdf if you want it. Survival models are actuary staples :-).)

>
> Hope that helps.
>
> Mike Nute
>
>
> ------Original Message------
> From: Lance Norskog
> To: user
> ReplyTo: [email protected]
> Subject: Predictive analysis problem
> Sent: Sep 9, 2011 10:45 PM
>
> Let's say you manage 2000 servers in a huge datacenter. You have regularly
> sampled stats, with uniform methods: aka, they are all sampled the same
way
> across all servers across the full time series This data is a cube of
> (server X time X measurement type), with a measurement in each cell.
>
> You also have a time series of system failures, a matrix of server X
failure
> class. What algorithm will predict which server will fail next, and when
and
> how?
>
> --
> Lance Norskog
> [email protected]
>
>

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