A new combinatorial branch-and-bound algorithm for the knapsack problem with conflicts
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Publication:2029024
DOI10.1016/j.ejor.2020.07.023zbMath1487.90546OpenAlexW3045117486MaRDI QIDQ2029024
Fabio Furini, Pablo San Segundo, Stefano Coniglio
Publication date: 3 June 2021
Published in: European Journal of Operational Research (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10261/229689
branch-and-bound algorithmcombinatorial optimizationmaximum weighted clique problemknapsack problem with conflicts
Polyhedral combinatorics, branch-and-bound, branch-and-cut (90C57) Combinatorial optimization (90C27)
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Cites Work
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- Infra-chromatic bound for exact maximum clique search
- Strong lift-and-project cutting planes for the stable set problem
- Clique-based facets for the precedence constrained knapsack problem
- A branch and cut solver for the maximum stable set problem
- An exact bit-parallel algorithm for the maximum clique problem
- An O(n) algorithm for the linear multiple choice knapsack problem and related problems
- Bilevel programming: a survey
- An efficient branch-and-bound algorithm for finding a maximum clique with computational experiments
- Reduction strategies and exact algorithms for the disjunctively constrained knapsack problem
- The ellipsoid method and its consequences in combinatorial optimization
- An upper bound for the zero-one knapsack problem and a branch and bound algorithm
- A multi-KP modeling for the maximum-clique problem
- A combinatorial column generation algorithm for the maximum stable set problem
- A minimal algorithm for the multiple-choice knapsack problem
- Local branching
- Clique is hard to approximate within \(n^{1-\epsilon}\)
- Foundations of bilevel programming
- On minimization of the number of branches in branch-and-bound algorithms for the maximum clique problem
- The maximum clique interdiction problem
- General cut-generating procedures for the stable set polytope
- A new upper bound for the maximum weight clique problem
- A nonconvex quadratic optimization approach to the maximum edge weight clique problem
- On the use of intersection cuts for bilevel optimization
- An improved bit parallel exact maximum clique algorithm
- Maximum-weight stable sets and safe lower bounds for graph coloring
- A new branch-and-bound algorithm for the maximum weighted clique problem
- On integer and bilevel formulations for the \(k\)-vertex cut problem
- Speeding up branch and bound algorithms for solving the maximum clique problem
- Relaxed approximate coloring in exact maximum clique search
- A combinatorial branch-and-bound algorithm for box search
- A new branch-and-bound algorithm for the maximum edge-weighted clique problem
- Coordinated cutting plane generation via multi-objective separation
- An algorithm for the disjunctively constrained knapsack problem
- A review on algorithms for maximum clique problems
- Algorithms for the Bin Packing Problem with Conflicts
- A Branch-and-Price Algorithm for the Bin Packing Problem with Conflicts
- Ellipsoidal Relaxations of the Stable Set Problem: Theory and Algorithms
- Dynamic Programming and Strong Bounds for the 0-1 Knapsack Problem
- The Knapsack Problem with Conflict Graphs
- An O(n) algorithm for the multiple-choice knapsack linear program
- A reactive local search-based algorithm for the disjunctively constrained knapsack problem
- A Strong Cutting Plane/Branch-and-Bound Algorithm for Node Packing
- The Multiple-Choice Knapsack Problem
- Bilevel Programming Approaches to the Computation of Optimistic and Pessimistic Single-Leader-Multi-Follower Equilibria.
- A Branch-and-Bound Algorithm for the Knapsack Problem with Conflict Graph
- A New General-Purpose Algorithm for Mixed-Integer Bilevel Linear Programs
- Reducibility among Combinatorial Problems
- Incremental Upper Bound for the Maximum Clique Problem
- A branch-and-cut algorithm for the maximum cardinality stable set problem