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Linear Programming Computation / / by Ping-Qi PAN



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Autore: PAN Ping-Qi Visualizza persona
Titolo: Linear Programming Computation / / by Ping-Qi PAN Visualizza cluster
Pubblicazione: Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2014
Edizione: 1st ed. 2014.
Descrizione fisica: 1 online resource (749 p.)
Disciplina: 519.72
Soggetto topico: Matrix theory
Algebra
Mathematics
Economics
Management science
Linear and Multilinear Algebras, Matrix Theory
Mathematics, general
Economics, general
Note generali: Bibliographic Level Mode of Issuance: Monograph
Nota di bibliografia: Includes bibliographical references.
Nota di contenuto: Introduction -- Geometry of the Feasible Region -- Simplex Method -- Duality principle and dual simplex method -- Implementation of the Simplex Method -- Sensitivity Analysis and Parametric LP -- Variants of the Simplex Method -- Decomposition Method -- Interior Point Method -- Integer Linear Programming (ILP) -- Pivot Rule -- Dual Pivot Rule -- Simplex Phase-I Method -- Dual Simplex Phase-l Method -- Reduced Simplex Method -- Improved Reduced Simplex Method -- D-Reduced Simplex Method -- Criss-Cross Simplex Method -- Generalizing Reduced Simplex Method -- Deficient-Basis Method -- Dual Deficient-Basis Method -- Face Method -- Dual Face Method -- Pivotal interior-point Method -- Special Topics -- Appendix -- References.
Sommario/riassunto: With emphasis on computation, this book is a real breakthrough in the field of LP. In addition to conventional topics, such as the simplex method, duality, and interior-point methods, all deduced in a fresh and clear manner, it introduces the state of the art by highlighting brand-new and advanced results, including efficient pivot rules, Phase-I approaches, reduced simplex methods, deficient-basis methods, face methods, and pivotal interior-point methods. In particular, it covers the determination of the optimal solution set, feasible-point simplex method, decomposition principle for solving large-scale problems, controlled-branch method based on generalized reduced simplex framework for solving integer LP problems.
Titolo autorizzato: Linear programming computation  Visualizza cluster
ISBN: 3-642-40754-4
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910300157103321
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