Extreme points of general transportation polytopes
| Autor: | Koehl, Patrice |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Transportation matrices are $m\times n$ non-negative matrices whose row sums and row columns are equal to, or dominated above with given integral vectors $R$ and $C$. Those matrices belong to a convex polytope whose extreme points have been previously characterized. In this article, a more general set of non-negative transportation matrices is considered, whose row sums are bounded by two integral non-negative vectors $R_{min}$ and $R_{max}$ and column sums are bounded by two integral non-negative vectors $C_{min}$ and $C_{max}$. It is shown that this set is also a convex polytope whose extreme points are then fully characterized. Comment: 10 pages |
| Databáze: | arXiv |
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