In the following software project of mine i have used also a more sophisticated mathematics..

[amin...@gmail.com]

Hello,


My Universal Scalability Law for Delphi and FreePascal version 3.22

In the following software project of mine i have used also a more sophisticated mathematics..

I have included a 32 bit and 64 bit windows executables called usl.exe and usl_graph.exe inside the zip, please read the readme file to know how to use it, it is a very powerful tool.

Here is an important and free book about Universal Scalability Law (USL), read it to understand more what USL is all about, you can download it from this link:

https://www.vividcortex.com/resources/universal-scalability-law/

And you have to optimize the criterion of the cost for a better QoS, and for this i have supplied you with a second option called -d that you have to run for that, so you have to type at the command prompt:

usl data.csv -d 0.3 0.1

the 0.3 is the slope of the secant with a step 0.1, so since the step is 0.1 so this will approximate a derivative of the USL equation that equal 0.3, so here is the output of my program when you run it with -d 0.3 0.1:

--

Peak number is: 449.188
Predicted scalability peak is: 18.434
Coefficient of determination R-squared is: 0.995
The derivative of the USL equation at delta(y)/delta(x)=0.300
with a step delta(x)=0.100, gives a number and derivative of
a secant or a derivative delta(y)/delta(x) of: 16.600 and 0.300

--

So as you have noticed that a good approximation for the derivative of the USL equation will arrive at the 16.600 cores and this gives also a derivative of the secant that approximate the derivative of the USL equation.

So to optimize more the criterion of the cost for a better QoS, you have to choose a good delta(y)/delta(x) to optimize the criterion of the cost of your system and you have to balance better between the performance and the cost.

The -nlr option means that the problem will be solved with the mathematical nonlinear regression using the simplex method as a minimization, if you don't specify -nlr, the problem will be solved by default by the mathematical polynomial regression.

You can read about it and download it from:

https://sites.google.com/site/scalable68/universal-scalability-law-for-delphi-and-freepascal



Thank you,
Amine Moulay Ramdane.

[amin...@gmail.com]