Continuous Representation Techniques in Combinatorial Optimization (original) (raw)

Polyhedral Techniques in Combinatorial Optimization

Stan Van Hoesel

1995

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The Polyhedral-Surface Cutting-Plane Method for Linear Combinatorial Optimization

Oksana Pichugina

2020

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A Polynomial Time Algorithm for Vertex Enumeration and Optimization over Shaped Partition Polytopes

Shmuel Onn

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The Bipartite Boolean Quadric Polytope with Multiple-Choice Constraints

Alexander Martin

arXiv: Optimization and Control, 2020

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Polyhedral Techniques in Combinatorial Optimization II: Applications and Computations

Stan Van Hoesel

1995

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Set operations on polyhedra using binary space partitioning trees

Bruce Naylor

ACM SIGGRAPH Computer Graphics, 1987

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A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra

Komei Fukuda

Discrete and computational geometry, 1992

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New approaches for optimizing over the semimetric polytope

Andrea Lodi

Mathematical Programming, 2005

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The use of edge-directions and linear programming to enumerate vertices

Shmuel Onn

Journal of Combinatorial Optimization, 2007

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Minimization of Boolean functions by combinatorial method

Mishel Solomko

Technology audit and production reserves, 2017

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A New Encoding of Not Necessarily Closed Convex Polyhedra

Enea Zaffanella

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Delaunay partitions in Rn applied to non-convex programs and vertex/facet enumeration problems

Lusine Yepremyan

Computers & Operations Research, 2005

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Computing compromise sets in polyhedral framework

Carlos Romero

Applied Mathematics Letters, 2000

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Parametric nonlinear discrete optimization over well-described sets and matroid intersections

Shmuel Onn

Mathematical Programming, 2010

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On multi-index assignment polytopes

Ioannis Mourtos

2006

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A Discrete Convex Min-Max Formula for Box-TDI Polyhedra

andras frank

Mathematics of Operations Research

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Combinatorial Optimization: An Introduction

Dimitris Alevras

Universitext, 2001

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A representation of generalized convex polyhedra and applications

Nguyen Luan

Optimization, 2019

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The Minimization Method of Boolean Functions in Polynomial Set-theoretical Format

bohdan rytsar

2015

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A Faster Cutting Plane Method and its Implications for Combinatorial and Convex Optimization

Sam Wong

2015 IEEE 56th Annual Symposium on Foundations of Computer Science, 2015

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Piecewise convex formulations of binary and permutation problems

Ider Tseveendorj

Numerical Analysis and Applications, 2011

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On the complete set packing and set partitioning polytopes: Properties and rank 1 facets

Eduardo Uchoa

Operations Research Letters, 2018

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Conic Mixed-Binary Sets: Convex Hull Characterizations and Applications

Simge Kucukyavuz

Operations Research

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Discrete Geometry and Optimization

K. Bezdek

Fields Institute Communications, 2013

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Alternative formulations for the Set Packing Problem and their application to the Winner Determination Problem

Juan Monge

Annals of Operations Research, 2012

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Boolean operations based on the planar polyhedral representation

Juan Flaquer

Computer-Aided Design, 1988

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Foundations of Discrete Optimization: In Transition from Linear to Non-linear Models and Methods

Raymond Hemmecke

Jahresbericht der Deutschen Mathematiker-Vereinigung, 2012

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On the Complexity of Four Polyhedral Set Containment Problems

ionat zurr

2011

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FPTAS for optimizing polynomials over the mixed-integer points of polytopes in fixed dimension

Raymond Hemmecke

Mathematical Programming, 2008

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An algorithm for discrete booleans with applications to finite element modeling of complex systems

Kaan Karamete

Finite Elements in Analysis and Design, 2013

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polymake in Linear and Integer Programming

Andreas Paffenholz

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Combinatorial Optimization with Explicit Delineation of the Ground Set by a Collection of Subsets

James Orlin

SIAM Journal on Discrete Mathematics, 2008

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Notes on Convex Sets, Polytopes, Polyhedra, Combinatorial Topology, Voronoi Diagrams and Delaunay Triangulations

Jean Gallier

2008

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Reduced-size formulations for metric and cut polyhedra in sparse graphs

Viet Nguyen

Networks, 2016

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Combinatorial Optimization and Theoretical Computer Science

Vangelis Paschos

2008

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