Abstract
An integer packing set is a set of non-negative integer vectors with the property that, if a vector x is in the set, then every non-negative integer vector y with y≤x is in the set as well. The main result of this paper is that integer packing sets, ordered by inclusion, form a well-quasi-ordering. This result allows us to answer a recently posed question: the k-aggregation closure of any packing polyhedron is again a packing polyhedron.
Original language | English |
---|---|
Pages (from-to) | 226-230 |
Number of pages | 5 |
Journal | Operations Research Letters |
Volume | 49 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2021 |
Bibliographical note
Accepted Author ManuscriptKeywords
- k-aggregation closure
- Packing polyhedra
- Polyhedrality
- Well-quasi-ordering