Solving symbolically a parametric linear program
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Newsgroups: sci.math.symbolic, sci.math
From: humberto.bortolo...@gmail.comDate: Tue, 11 Mar 2008 02:09:20 -0700 (PDT)
Local: Tues, Mar 11 2008 5:09 am
Subject: Solving symbolically a parametric linear program
Greetings!
Is there a mathematical software package that solves symbolically a
parametric linear program, like that one:
min x + y
subject to ax + y >= 4
bx + y >= 7
x >= 0, y >=0
That is, I would like to see the solution in terms of the coefficients
a and b:
(x*, y*) = (3/(a - b), (4a - 7b)/(a - b)) if 7/a <= 4/b
(x*, y*) = (7/a, 0), otherwise.
Thanks in advance, Humberto.
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Newsgroups: sci.math.symbolic, sci.math, comp.soft-sys.math.maple
From: humberto.bortolo...@gmail.comDate: Wed, 12 Mar 2008 03:13:30 -0700 (PDT)
Local: Wed, Mar 12 2008 6:13 am
Subject: Re: Solving symbolically a parametric linear program
Hi!
I've found a package for the REDUCE system that solves parametric
linear programs symbolically: SYMOPT. There is technical report about
it:
http://www.fmi.uni-passau.de/forschung/mip-berichte/MIP-0203.ps
It would be nice to have such package in Maple or Mathematica or,
better, in a free system.
Best regards, Humberto.
On 11 mar, 06:09, humberto.bortolo...@gmail.com wrote:
> Greetings! > Is there a mathematical software package that solves symbolically aparametriclinearprogram, like that one:
> min x + y
> subject to ax + y >= 4
> bx + y >= 7
> x >= 0, y >=0
> That is, I would like to see the solution in terms of the coefficients
> a and b:
> (x*, y*) = (3/(a - b), (4a - 7b)/(a - b)) if 7/a <= 4/b
> (x*, y*) = (7/a, 0), otherwise.
> Thanks in advance,Humberto.
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Newsgroups: sci.math.symbolic, sci.math, comp.soft-sys.math.maple
From: humberto.bortolo...@gmail.comDate: Sat, 15 Mar 2008 21:46:47 -0700 (PDT)
Local: Sun, Mar 16 2008 12:46 am
Subject: Re: Solving symbolically a parametric linear program
Hi!
I've discovered the Maple package SynRAC that does the job:
http://www.risc.uni-linz.ac.at/about/conferences/issac2004/se-abstrac...
However, I don't know if this package is freely available. I've just
sent an e-mail for the authors. Let's see.
Humberto.
On 12 mar, 07:13, humberto.bortolo...@gmail.com wrote:
> Hi! > I've found a package for the REDUCE system that solvesparametriclinearprograms symbolically: SYMOPT. There is technical report about
> it:
> http://www.fmi.uni-passau.de/forschung/mip-berichte/MIP-0203.ps
> It would be nice to have such package in Maple or Mathematica or,
> better, in a free system.
> Best regards,Humberto.
> On 11 mar, 06:09,humberto.bortolo...@gmail.com wrote:
> > Greetings!
> > Is there a mathematical software package that solves symbolically aparametriclinearprogram, like that one:
> > min x + y
> > subject to ax + y >= 4
> > bx + y >= 7
> > x >= 0, y >=0
> > That is, I would like to see the solution in terms of the coefficients
> > a and b:
> > (x*, y*) = (3/(a - b), (4a - 7b)/(a - b)) if 7/a <= 4/b
> > (x*, y*) = (7/a, 0), otherwise.
> > Thanks in advance,Humberto.- Ocultar texto entre aspas -
> - Mostrar texto entre aspas -
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