Hello,

About my linear programming modeling examples in Object Pascal..

I have just updated my Linear programming modeling examples in Object
Pascal, and i have just included the last stable version of 64bit
Symphony MILP solver inside the zip file, so just pass it the MPS output
file from the object pascal example.

You can download it from:

https://sites.google.com/site/scalable68/linear-programming-modeling-examples-in-object-pascal

And about optimization..

Advances in integer optimization from 1988 to 2017:

– Improved algorithms and methods: 147,650 times faster

– Improved computing power: 17,120 times faster

– Overall improvement: 2,527,768,000 times faster

In practice, this means that solving a typical MILP problem would have
taken 80 years back in 1988, whereas today it only takes one second.
However, while MILP problem solving is nowadays standard technology,
MINLP problems still pose a challenge.This is motivating and inspiring
researchers in the field.

Read more here:

The world’s fastest

https://www.abo.fi/en/news/the-worlds-fastest/

Optimization is a special area within Mathematics and Engineering. The
idea of optimization is to find the best possible – or a sufficiently
good – solution to a problem given in the form of a mathematical
description of a system or process.

And about optimization, i have just included the 64 bit SYMPHONY solver
for mixed-integer linear programs (MILPs), with a batch file that
executes the MPS file, inside the zip file that you can download from here:

https://sites.google.com/site/scalable68/linear-programming-modeling-examples-in-object-pascal

And you can read this interesting webpage and you will notice on the
benchmark that SYMPHONY solver is good:

ILP Solver Comparison Part I

http://strimas.com/prioritization/scip-performance/

And read my following webpage about my Linear programming formulation of
the Shortest-Route problem in object pascal to understand more:

http://pages.videotron.com/aminer/lp/linear.htm

Thank you,
Amine Moulay Ramdane.