An \(O(n \log n)\) procedure for identifying facets of the knapsack polytope.
From MaRDI portal
Publication:1811629
DOI10.1016/S0167-6377(02)00221-3zbMath1042.90035MaRDI QIDQ1811629
Gloria Pérez, Laureano Fernando Escudero Bueno, María Araceli Garín
Publication date: 17 June 2003
Published in: Operations Research Letters (Search for Journal in Brave)
Related Items
Integrality Gaps of Linear and Semi-Definite Programming Relaxations for Knapsack, A polyhedral study on 0-1 knapsack problems with set packing constraints, Construction de facettes pour le polytope du sac-à-dos quadratique en 0-1, Cover and pack inequalities for (mixed) integer programming
Cites Work
- \(O(n \log n)\) procedures for tightening cover inequalities
- On the \(0/1\) knapsack polytope
- \(O(n)\) procedures for identifying maximal cliques and non-dominated extensions of consecutive minimal covers and alternates
- Lifted cover facets of the 0-1 knapsack polytope with GUB constraints
- Easily Computable Facets of the Knapsack Polytope
- Maximizing Submodular Set Functions: Formulations and Analysis of Algorithms
- Technical Note—A Note on Zero-One Programming
- Faces for a linear inequality in 0–1 variables
- Facet of regular 0–1 polytopes
- Facets of the knapsack polytope
- Facets of the Knapsack Polytope From Minimal Covers
- Properties of vertex packing and independence system polyhedra
- Sequence independent lifting of cover inequalities
- On the facial structure of set packing polyhedra
- Canonical Cuts on the Unit Hypercube