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From: Frank Deutschmann <fhd@in*.ne*>
Subject: Re: Draeger Atlantis
To: deepreef@bi*.bi*.Ha*.Or*
Date: Wed, 19 Jul 1995 12:09:17 -0400 (EDT)
Cc: techdiver@terra.net
Richard Pyle sez:
> Now, add two more identical computers, any one of which can fully operate
> the system.  The computer complexity has just increased by a factor of 3,
> so the probability of a component failure has tripled.  However, since 3
> simultaneous computer failures are required to bring the whole system
> down, the probability of a system failure is the cube root of the
> probability of a single computer failure (i.e., MUCH less -- assuming the
> three computers are truly independant entities).

Pretty close, but you are ignoring the (additional) complexity of any
hw/sw used to link the three computers.  (Yes, this is a nit, the end result
is still that the reliability is improved!)

For more in-depth treatment of this sort of subject, see the reference:
_The Theory and Practice of Reliable Systems_, by Siework and Schwarz (sp?).


Side note:
I do a lot of reliability analysis type work, and recently I had a chance to
apply
that to everyday life:  the NYC Subway has recently taken to advertising how
much more wonderful the subway is these days; one of their ads touted that
subway cars now travel approx 50,000 miles without a failure -- which they
clearly
thought was an amazingly impressive number.  Well, applying a little systems
analysis, looking at the sheer number of miles and cars traveling on a small
portion of the system (the 15 mile line I take everyday), I estimated that
even with a 50,000 mile MTBF, the system would see a major failure on just my
line alone once a week.  This doesn't take into account signals, etc -- and
guess
what?  Actual failure rate that I experience is approximately once a week rush
hour failure -- pretty good correlation!

(I wrote a letter to the MTA -- the subway people -- and they never responded,
but the 50,000 mile ads disappeared within a week...)

-frank
-- 
fhd@in*.ne* | There is no excellent beauty that hath not some strangeness in
  1 212 559 5534  | the proportion!		-- Francis Bacon
  1 917 992 2248  | Beauty is the proper conformity of the parts to one another
  1 718 746 7061  | and to the whole.	-- W. Heisenberg

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