Column Generation in Integer Linear Programming

This chapter introduces exact methods for solving integer linear programming problems with a large number of variables. These methods are known as branch-and price methods. The chapter examines an inequality for eliminating 0-1 column generation and it focuses on two integer linear programming probl...

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Detalles Bibliográficos
Autor principal: Loiseau, I.
Otros Autores: Ceselli, A., Maculan, N., Salani, M.
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: Wiley Blackwell 2014
Acceso en línea:Registro en Scopus
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Registro en la Biblioteca Digital
Aporte de:Registro referencial: Solicitar el recurso aquí
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100 1 |a Loiseau, I. 
245 1 0 |a Column Generation in Integer Linear Programming 
260 |b Wiley Blackwell  |c 2014 
270 1 0 |m Loiseau, I.; Departamento de Computación, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos AiresArgentina 
506 |2 openaire  |e Política editorial 
520 3 |a This chapter introduces exact methods for solving integer linear programming problems with a large number of variables. These methods are known as branch-and price methods. The chapter examines an inequality for eliminating 0-1 column generation and it focuses on two integer linear programming problem models and a comparison between their linear relaxations. The chapter presents a schema of a column generation method for solving an integer linear programming (ILP) and the difficulties that can appear at the time of implementation. In the chapter two column generation algorithms are introduced: for the p-medians problem and for vehicle routing problems. © ISTE Ltd 2014. All rights reserved.  |l eng 
593 |a Departamento de Computación, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Argentina 
593 |a Dipartimento di Tecnologie dell'Informazione, Università degli Studi di Milano, Italy 
593 |a Programa de Engenharia de Sistemas e Computação, COPPE, Universidade Federal do Rio de Janeiro, Brazil 
593 |a Dipartimento di Tecnologie dell'Informazione, Università degli Studi di Milano, Italy 
690 1 0 |a COLUMN GENERATION 
690 1 0 |a INTEGER LINEAR PROGRAM (ILP) 
690 1 0 |a VEHICLE ROUTING 
690 1 0 |a BRANCH AND PRICE 
690 1 0 |a COLUMN GENERATION 
690 1 0 |a EXACT METHODS 
690 1 0 |a INTEGER LINEAR PROGRAMMING 
690 1 0 |a INTEGER LINEAR PROGRAMS 
690 1 0 |a IT FOCUS 
690 1 0 |a LINEAR RELAXATIONS 
690 1 0 |a VEHICLE ROUTING PROBLEMS 
690 1 0 |a INTEGER PROGRAMMING 
700 1 |a Ceselli, A. 
700 1 |a Maculan, N. 
700 1 |a Salani, M. 
773 0 |d Wiley Blackwell, 2014  |g v. 9781848216563  |h pp. 235-259  |p Concepts of Comb. Optim.: 2nd Ed.  |z 9781119005216  |z 9781848216563  |t Concepts of Combinatorial Optimization: 2nd Edition 
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