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V
ValeryOchkov24-Ruby IV
24-Ruby IV
September 14, 2016
Question

One minimize problem - numerical and symbolical solutions

  • September 14, 2016
  • 23 replies
  • 7928 views

I am trieing to solve one minimize problem.

Numerical is OK - see please the picture and the Mathcad 15 sheet in attach.

But numerical - problems - see please two sheets (15 and Prime 3.1) in attach.

Any help please.

The problem of the race (from point 1 to point 4) on the lawn, plowing and asphalt
or

A a ray of light in a three-layer plate

Run-Min.png

23 replies

V
ValeryOchkov24-Ruby IVAuthor
24-Ruby IV
September 14, 2016

Ждем-с! I am waiting for the solution!

V
ValeryOchkov24-Ruby IVAuthor
24-Ruby IV
September 15, 2016

A try in Maple

Run-Min-Symbolic-mw.png

A
AlvaroDíaz12-Amethyst
12-Amethyst
September 15, 2016

Hi Valery.

What Maple is telling is that the critical points are the set indicated as x2=x3 and x3=x4. This is one DOF. Thus the mininum for your problem isn't a point, it is a curve given by

min.gif

This is, any point at this curve its a local extrema, and a minumun if t''(u)>0, which I don't check.

Best regards.

Alvaro.

V
ValeryOchkov24-Ruby IVAuthor
24-Ruby IV
September 16, 2016

It is one optic problem.

Video Link : 7197

V
ValeryOchkov24-Ruby IVAuthor
24-Ruby IV
September 18, 2016

An optic solution of the problem

V
ValeryOchkov24-Ruby IVAuthor
24-Ruby IV
September 19, 2016

With plots

2-Plot-Scan.png

V
ValeryOchkov24-Ruby IVAuthor
24-Ruby IV
September 19, 2016

But no symbolical solution

2-Symbolic.png

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