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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Sumario: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.
ISBN:9781119005216
9781848216563
DOI:10.1002/9781119005216.ch9