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A more precise proof...

Ramine

4/24/2016 9:04:00 PM

Hello,


If in a parallel program the locked region is 1/8 the parallel region,
so at fewer cores and fewer threads, USL methodology can miss to give
a good approximation of the scalability, but this cases constitutes
a much much smaller part of the chance probabilisticaly that will
miss the possibilitity of forecasting correctly, but since
testing a database system or a parallel compression program will not
give the right and exact solution that optimizes efficiently
the criterion of the cost, so we can consider those cases benign
and because they are part of the those hasards of this world.


So i repeat:

Because in the USL methodology the much much greater part of the chance
probabilistically will hit and gives us the possibility of forecating up
to 10X the maximum number of cores and threads of the performance data
measurements, so it is a better approximation.

And because a much much smaller part of the chance probabilistically
will hit and gives us the possibility of forecating up to 5X the maximum
number of cores and threads of the performance data measurements.

So forecasting up to 10X the maximum number of cores and threads
of the performance data measurements is a good approximation with USL
methodology, so if you want to optimize the criterion of the cost, you
have to forecast up to 10X the maximum number of cores and threads of
the performance data measurements, and see the tendency, if it says
that you can scale more and more on for example NUMA architecture ,
so when you want to buy bigger NUMA systems, make sure that you buy them
with the right configuration that permit to add more processors
and more memory, and you have to go buying step by step more and more
processors and memory, and on each step you will be able to test
empirically again the Computer NUMA system that you have bought with my
USL programs,to better forecast again farther the scalability and
optimize more the criterion of the cost, so as you have noticed my USL
programs
are great tools and important tools !

I have included the 32 bit and 64 bit windows executables of my
programs inside the zip file to easy the job for you.

You can download my USL programs version 3.0 with the source code from:

https://sites.google.com/site/aminer68/universal-scalability-law-for-delphi-and-...


Thank you,
Amine Moulay Ramdane.