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ISBN: 9780792346944

This book includes variants of the ellipsoid method for convex and quasiconvex problems and applies them to very general convex and quasiconvex models in location theory. It starts by des… Altro …

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ISBN: 9780792346944

grams of which the objective is given by the ratio of a convex by a positive (over a convex domain) concave function. As observed by Sniedovich (Ref. [102, 103]) most of the properties of… Altro …

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dos Santos Gromicho, J.A.:
Quasiconvex Optimization and Location Theory (Applied Optimization, 9) - copertina rigida, flessible

1998

ISBN: 9780792346944

Springer, Hardcover, Auflage: 1998, 241 Seiten, Publiziert: 1998-01-31T00:00:01Z, Produktgruppe: Book, 1.16 kg, Econometrics & Statistics, Economics, Business & Money, Subjects, Books, Co… Altro …

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dos Santos Gromicho, J.A.:
Quasiconvex Optimization and Location Theory (Applied Optimization, 9) - copertina rigida, flessible

1998, ISBN: 0792346947

[EAN: 9780792346944], Used, as new, [PU: Springer], Like New, Books

NOT NEW BOOK. Costi di spedizione: EUR 21.73 Mispah books, Redhill, SURRE, United Kingdom [82663586] [Rating: 4 (of 5)]
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J.A. dos Santos Gromicho:
Quasiconvex Optimization and Location Theory - copertina rigida, flessible

ISBN: 9780792346944

Springer , pp. 246 . Hardback. New., Springer, 6

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Dettagli del libro
Quasiconvex Optimization and Location Theory (Applied Optimization, 9)

This book includes variants of the ellipsoid method for convex and quasiconvex problems and applies them to very general convex and quasiconvex models in location theory. It starts by describing the adopted notation and provides basic details of convexity and convex optimization. Without aiming at replacing classical references, it manages to bring the required concepts into an easily tractable form and to focus the reader on the more elaborate developments that follow. Many techniques in convex optimization rely on the use of separation hyperplanes. The book uses the ellipsoid method as an illustration of such a technique and provides a new and more stable version of this method. The new algorithm receives a clear and concise treatment, starting with its derivation and ending with its convergence analysis. Both the derivation and the analysis use a simpler approach than previously found in the literature. The second part of the book generalizes the new algorithm to solve quasiconvex programs. Although the techniques required by the quasiconvex case are more complex, the book provides a clear and direct interpretation of the main theoretical results. Audience: This book will be of great value to graduate students and researchers working in continuous optimization using separation techniques and for those dealing with general continuous location models.

Informazioni dettagliate del libro - Quasiconvex Optimization and Location Theory (Applied Optimization, 9)


EAN (ISBN-13): 9780792346944
ISBN (ISBN-10): 0792346947
Copertina rigida
Anno di pubblicazione: 1998
Editore: Springer
240 Pagine
Peso: 0,522 kg
Lingua: eng/Englisch

Libro nella banca dati dal 2007-04-13T12:00:22+02:00 (Rome)
Pagina di dettaglio ultima modifica in 2023-12-29T13:16:20+01:00 (Rome)
ISBN/EAN: 0792346947

ISBN - Stili di scrittura alternativi:
0-7923-4694-7, 978-0-7923-4694-4
Stili di scrittura alternativi e concetti di ricerca simili:
Autore del libro : dos santos, san antonio
Titolo del libro: location theory, theory wants


Dati dell'editore

Autore: J.A. dos Santos Gromicho
Titolo: Applied Optimization; Quasiconvex Optimization and Location Theory
Editore: Springer; Springer US
219 Pagine
Anno di pubblicazione: 1998-01-31
New York; NY; US
Lingua: Inglese
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
Available
XXII, 219 p.

BB; Hardcover, Softcover / Mathematik/Sonstiges; Optimierung; Verstehen; algorithms; classification; complexity; computation; derivative; derivatives; dynamic programming; Facility Location; geometry; optimization; programming; sets; Subdifferential; Optimization; Algorithms; Computational Mathematics and Numerical Analysis; Theory of Computation; Econometrics; Algorithmen und Datenstrukturen; Numerische Mathematik; Theoretische Informatik; Ökonometrie und Wirtschaftsstatistik; EA; BC

1 Introduction.- 2 Elements of Convexity.- 2.1 Generalities.- 2.2 Convex sets.- 2.3 Convex functions.- 2.4 Quasiconvex functions.- 2.5 Other directional derivatives.- 3 Convex Programming.- 3.1 Introduction.- 3.2 The ellipsoid method.- 3.3 Stopping criteria.- 3.4 Computational experience.- 4 Convexity in Location.- 4.1 Introduction.- 4.2 Measuring convex distances.- 4.3 A general model.- 4.4 A convex location model.- 4.5 Characterizing optimality.- 4.6 Checking optimality in the planar case.- 4.7 Computational results.- 5 Quasiconvex Programming.- 5.1 Introduction.- 5.2 A separation oracle for quasiconvex functions.- 5.3 Easy cases.- 5.4 When we meet a “bad” point.- 5.5 Convergence proof.- 5.6 An ellipsoid algorithm for quasiconvex programming.- 5.7 Improving the stopping criteria.- 6 Quasiconvexity in Location.- 6.1 Introduction.- 6.2 A quasiconvex location model.- 6.3 Computational results.- 7 Conclusions.

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