Questions tagged [totally-unimodular]
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3
questions
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Assignment problem with mutually exclusive constraints has an integral polyhedron?
I have the following problem
$\min \sum_{i\in I} \sum_{j \in J} c_{ij} x_{ij} $
$s.t. \sum_{j \in J} x_{ij} \leq b_i, \forall i \in I$
$\sum_{j \in S_l} x_{ij} \leq 1, \forall l \in L, i \in I $
$\...
- 30.4k
3
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1
answer
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Totally unimodular towards linear programming relaxation
I'm currently studying about totally unimodular.
I was reading this link: https://ostad.nit.ac.ir/upload/Integer_Programming_1.pdf, from page 38-41 and I came across the statement:
'It is clear that ...
7
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1
answer
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Non-Integral Optimal Solutions of Totally Unimodular Linear Programs
If a Linear Program (LP) has Totally Unimodular constraint matrix, integer RHS vector, and has an optimal solution, then it has an integer optimal solution.
But what about additional optimal solutions ...
- 30.4k