- 13 Jan 2022, 13:20
- Forum: General Discussion
- Topic: Convex Decomposition
- Replies:
**5** - Views:
**145**

Isn't this just solving a linear program V_1 \cdot x = v_{2,i} , x>=0 , \sum_j x_j = 1 for each vertex v_{2,i} of P_2 ( V_1 being the Matrix containing the vertices of P_1 , x being the coefficients of a possible convex combination)? Any LP solver (including Polymake) should be able to do this. Best...

- 29 Sep 2021, 20:00
- Forum: General Discussion
- Topic: how to define integer polytope by matrix representation
- Replies:
**6** - Views:
**899**

I would like to add that it seems you forgot to add the bounds of your binary variables to the polytope. If you add them and then calculate the lattice points, you should observe only two integer feasible solutions. So your problem and its solution space is rather trivial.

Best regards,

Thomas

Best regards,

Thomas

- 02 Jun 2021, 19:54
- Forum: Helpdesk
- Topic: Issues solving an LP
- Replies:
**6** - Views:
**4354**

Can you elaborate on how were you able to find the 240 feasible solutions/assignments for the integer variables? I used TOSimplex (one of the MILP codes in polymake) directly. It seems, polymake is currently not capable of doing this calculation. (It requires BOUNDED for the whole thing while for T...

- 20 May 2021, 21:06
- Forum: Helpdesk
- Topic: Issues solving an LP
- Replies:
**6** - Views:
**4354**

Please help me solve this MILP and find all the feasible solutions. It is typically impossiple to iterate all feasible solutions of a MILP, because if the remaining LP has several solutions for the same integer assignments, any convex combination is also feasible, yielding infinitely many solutions...

- 09 Mar 2021, 23:20
- Forum: Helpdesk
- Topic: Error in reading a .lp file using lp2poly
- Replies:
**6** - Views:
**4826**

If you use "simple" text editors (e.g. Notepad, Notepad++ on Windows or vi, vim, nano, mc on Linux or Mac), I would not expect any such problems.

- 02 Mar 2021, 23:45
- Forum: Helpdesk
- Topic: Error in reading a .lp file using lp2poly
- Replies:
**6** - Views:
**4826**

On my systems (Linux, Windows), the above command did not replace some strange white space character. I had to replace it manually.

Here is my corrected file: I did a few tests with it. The optimal value is 7 and I found 880 feasible solutions.

Best regards,

Thomas

Here is my corrected file: I did a few tests with it. The optimal value is 7 and I found 880 feasible solutions.

Best regards,

Thomas

- 06 Oct 2020, 09:59
- Forum: Helpdesk
- Topic: Simple question regarding converting polytope to facets
- Replies:
**3** - Views:
**4038**

- 28 Nov 2019, 17:10
- Forum: Helpdesk
- Topic: Error in using lp2poly
- Replies:
**21** - Views:
**10085**

TOSimplex can return all feasible solutions for the integer variables of a MILP, but this feature is missing in the interface to polymake You are cordially invited to extend the interface 8-) I think to do so, the MILP in polymake should somehow be extended. It seems to have no property like LATTIC...

- 28 Nov 2019, 15:01
- Forum: Helpdesk
- Topic: Error in using lp2poly
- Replies:
**21** - Views:
**10085**

By the way, this feature seems to be missing in polymake. TOSimplex can return all feasible solutions for the integer variables of a MILP, but this feature is missing in the interface to polymake. In polymake, TOSimplex can only be used to obtain all lattice points of a polyhedron (which have to be ...

- 27 Nov 2019, 20:53
- Forum: Helpdesk
- Topic: Error in using lp2poly
- Replies:
**21** - Views:
**10085**

Maybe, it is easier to feed polymake with these 125 points and let it calculate the inequalities and equalities from them. But I am really not sure about that.

Let's wait what the others say.

Best regards,

Thomas

Let's wait what the others say.

Best regards,

Thomas

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