Abstract. We provide a simple description in terms of linear inequalities of the convex hull of the nonnegative integer vectors x that satisfy a given linear ...
This description allows the replacement of “weak” knapsack-type constraints by stronger ones in several ILP formulations for practical problems, including ...
Jan 12, 2024 · Recently, Cacchiani et al. [8] described the convex hulls of ≤and ≥-type knapsacks with a generalized upper bound constraint i∈N x i ≤ 2.
Here we study this polytope and identify facet–defining inequalities that cut off all fractional extreme points of its linear programming relaxation, as well as ...
On integer polytopes with few nonzero vertices ; 2013 · Cacchiani, Valentina ; Caprara, Alberto ; Maróti, Gábor ; Toth, Paolo · Operations research letters. - ...
TL;DR: This description allows the replacement of “weak” knapsack-type constraints by stronger ones in several ILP formulations for practical problems, ...
We provide a simple description in terms of linear inequalities of the convex hull of the nonnegative integer vectors x that satisfy a given linear knapsack ...
Abstract — We consider non-integer vertices of the polytope of three-index axial assignment prob- lem. In particular, rather sharp lower bounds are obtained ...
Deduce from Theorem 2 the following Pick's Theorem: if P ⊂ R2 is a convex polygon with integer vertices and non-empty interior, then the number of integer.
Sep 7, 2011 · Is there some constructive way to enumerate the possibilities? If the polytope has k vertices, is there some not-too-horrible upper bound on the ...
Missing: integer nonzero