1.

Record Nr.

UNINA9910299992803321

Autore

Conforti Michele

Titolo

Integer Programming / / by Michele Conforti, Gérard Cornuéjols, Giacomo Zambelli

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014

ISBN

3-319-11008-X

Edizione

[1st ed. 2014.]

Descrizione fisica

1 online resource (XII, 456 p. 75 illus.)

Collana

Graduate Texts in Mathematics, , 0072-5285 ; ; 271

Disciplina

519.77

Soggetti

Operations research

Management science

Convex geometry 

Discrete geometry

Algorithms

Operations Research, Management Science

Convex and Discrete Geometry

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

Preface -- 1 Getting Started -- 2 Integer Programming Models -- 3 Linear Inequalities and Polyhedra -- 4 Perfect Formulations -- 5 Split and Gomory Inequalities -- 6 Intersection Cuts and Corner Polyhedra -- 7 Valid Inequalities for Structured Integer Programs -- 8 Reformulations and Relaxations -- 9 Enumeration -- 10 Semidefinite Bounds -- Bibliography -- Index.

Sommario/riassunto

This book is an elegant and rigorous presentation of integer programming, exposing the subject’s mathematical depth and broad applicability. Special attention is given to the theory behind the algorithms used in state-of-the-art solvers. An abundance of concrete examples and exercises of both theoretical and real-world interest explore the wide range of applications and ramifications of the theory. Each chapter is accompanied by an expertly informed guide to the literature and special topics, rounding out the reader’s understanding and serving as a gateway to deeper study. Key topics include: formulations polyhedral theory cutting planes decomposition



enumeration semidefinite relaxations Written by renowned experts in integer programming and combinatorial optimization, Integer Programming is destined to become an essential text in the field.