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A lift-and-project cutting plane algorithm for mixed 0–1 programs

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Advances in Logic‐Based Optimization Approaches to Process Integration and Supply Chain Management
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The ABACUS system for branch-and-cut-and-price algorithms in integer programming and combinatorial optimization
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Mathematics in Chemical Engineering
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Stochastic Mixed‐Integer Programming Algorithms: Beyond Benders' Decomposition
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Disjunctive Programming
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Gomory Cuts
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Lift‐and‐Project Inequalities
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Disjunctive Inequalities: Applications And Extensions
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Reformulation‐Linearization Technique for MIPs
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Use of L agrange Interpolating Polynomials in the RLT
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Pure Cutting‐Plane Algorithms and their Convergence
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Integer Programming
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A Comparison of Some Valid Inequality Generation Methods for General 0–1 Problems
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General Bibliography
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A Comparison of Some Valid Inequality Generation Methods for General 0–1 Problems
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Combining and strengthening Gomory cuts
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Lift-and-Project Cuts for Mixed 0-1 Programs
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Nonlinear Higher-Dimensional Representations
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Intersection Cuts for Factorable MINLP
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Consistency for 0–1 Programming
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Parallel DC Cutting Plane Algorithms for Mixed Binary Linear Program
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Disjunctive Programming
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Conic Linear Programming
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Implied Integrality in Mixed-Integer Optimization
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Sparsity of Lift-and-Project Cutting Planes
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Cut Generation through Binarization
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Getting Started
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Semidefinite Bounds
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Valid Inequalities for Structured Integer Programs
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Reformulations and Relaxations
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Enumeration
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Duality and Complementarity
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Conic Linear Programming
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Global Optimal Solution to Quadratic Discrete Programming Problem with Inequality Constraints
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Exact Separation of k-Projection Polytope Constraints
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Valid Inequalities Based on Simple Mixed-Integer Sets
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Disjunctive Programming
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Polyhedral Approaches to Mixed Integer Linear Programming
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Semidefinite Relaxations for Integer Programming
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Perspective Relaxation of Mixed Integer Nonlinear Programs with Indicator Variables
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Disjunctive Cuts for Non-convex Mixed Integer Quadratically Constrained Programs
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Cuts for Conic Mixed-Integer Programming
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New Variants of Lift-and-Project Cut Generation from the LP Tableau: Open Source Implementation and Testing
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Improving Cutting Plane Generation with 0-1 Inequalities by Bi-criteria Separation
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Proofs of Unsatisfiability Via Semidefinite Programming
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An Iterative Scheme for Valid Polynomial Inequality Generation in Binary Polynomial Programming
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Integrality Gaps of Linear and Semi-Definite Programming Relaxations for Knapsack
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Convexification Techniques for Linear Complementarity Constraints
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Lift-and-Project Cuts for Mixed Integer Convex Programs
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Intersection Cuts for Mixed Integer Conic Quadratic Sets
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Semidefinite programming in combinatorial optimization
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Connections between semidefinite relaxations of the max-cut and stable set problems
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Mathematical programming approaches to the synthesis of chemical process systems
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Discretization and localization in successive convex relaxation methods for nonconvex quadratic optimization
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A disjunctive cutting plane procedure for general mixed-integer linear programs
inferred← citeshttps://doi.org/10.1007/pl00011430openalex-snapshot
Mixing mixed-integer inequalities
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Constraint selection in a build-up interior-point cutting-plane method for solving relaxations of the stable-set problem
inferred← citeshttps://doi.org/10.1007/s00186-020-00723-9openalex-snapshot
On the facet defining inequalities of the mixed-integer bilinear covering set
inferred← citeshttps://doi.org/10.1007/s001860200200openalex-snapshot
Primal cutting plane algorithms revisited
inferred← citeshttps://doi.org/10.1007/s10107-002-0317-yopenalex-snapshot
A precise correspondence between lift-and-project cuts, simple disjunctive cuts, and mixed integer gomory cuts for 0-1 programming
inferred← citeshttps://doi.org/10.1007/s10107-002-0320-3openalex-snapshot
On the separation of split cuts and related inequalities
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Lifted inequalities for 0-1 mixed integer programming: Basic theory and algorithms
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An algorithm for mixed integer optimization
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Lift-and-project cuts and perfect graphs
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The stable set problem and the lift-and-project ranks of graphs
inferred← citeshttps://doi.org/10.1007/s10107-003-0445-zopenalex-snapshot
Stochastic programming with integer variables
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Strong formulations for mixed integer programs: valid inequalities and extended formulations
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An improved semidefinite programming relaxation for the satisfiability problem
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Lagrangian decomposition of block-separable mixed-integer all-quadratic programs
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Semidefinite representations for finite varieties
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The C3 Theorem and a D2 Algorithm for Large Scale Stochastic Mixed-Integer Programming: Set Convexification
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Cuts for mixed 0-1 conic programming
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Decomposition with branch-and-cut approaches for two-stage stochastic mixed-integer programming
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Perspective cuts for a class of convex 0–1 mixed integer programs
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Valid inequalities based on simple mixed-integer sets
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Polyhedra related to integer-convex polynomial systems
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Mixed Integer Models for the Stationary Case of Gas Network Optimization
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A convex-analysis perspective on disjunctive cuts
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On the gap between the quadratic integer programming problem and its semidefinite relaxation
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Optimizing over the split closure
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Projected Chvátal–Gomory cuts for mixed integer linear programs
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Valid inequalities for mixed integer linear programs
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On solving discrete two-stage stochastic programs having mixed-integer first- and second-stage variables
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Valid inequalities and restrictions for stochastic programming problems with first order stochastic dominance constraints
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The mixing-MIR set with divisible capacities
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Conic mixed-integer rounding cuts
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Computing deep facet-defining disjunctive cuts for mixed-integer programming
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On the relative strength of split, triangle and quadrilateral cuts
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A note on the split rank of intersection cuts
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Branching on general disjunctions
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Convex relaxations of non-convex mixed integer quadratically constrained programs: projected formulations
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Perspective reformulations of mixed integer nonlinear programs with indicator variables
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Small Chvátal Rank
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Convex relaxations of non-convex mixed integer quadratically constrained programs: extended formulations
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Strong valid inequalities for orthogonal disjunctions and bilinear covering sets
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Mixed-integer sets from two rows of two adjacent simplex bases
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Tightening simple mixed-integer sets with guaranteed bounds
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Generalized intersection cuts and a new cut generating paradigm
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Strong lift-and-project cutting planes for the stable set problem
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The Steiner connectivity problem
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Coordinated cutting plane generation via multi-objective separation
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Decomposition algorithms with parametric Gomory cuts for two-stage stochastic integer programs
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Design and verify: a new scheme for generating cutting-planes
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Convex hull representation of the deterministic bipartite network interdiction problem
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A dynamic inequality generation scheme for polynomial programming
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