Linear and Integer Programming vs Linear Integration and Counting: A Duality Viewpoint (Springer Series in Operations Research and Financial Engineering) - Hardcover
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“Lasserre has produced a fascinating slim ... monograph (much of the work his own) looking at the parallels between linear (respectively integer) programming on the one hand and integration (respectively integer counting) problems on the other hand. ... An appendix on various transforms a hundred references and a brief index complete the work which is a welcome addition to an important set of topics.” (J. Borwein, Mathematical Reviews, Issue 2010 f)
“This book is devoted to analysing four important problems: integer programming problem, linear programming problem, linear integration problem, and linear counting problem. ... a very specialized book on the integer programming problem and its dual variants. ... can be very helpful for researchers working in developing algorithms for the integer programming problem which is a formidable challenging problem. This is a clear and well-written book ... .” (E. Almehdawe, Journal of the Operational Research Society, Vol. 61 (12), 2010)
This book analyzes and compares four closely related problems, namely linear programming, integer programming, linear integration, and linear summation (or counting). The book provides some new insights on duality concepts for integer programs.
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- VerlagSpringer
- Erscheinungsdatum2009
- ISBN 10 038709413X
- ISBN 13 9780387094137
- EinbandTapa dura
- Anzahl der Seiten168
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Buchbeschreibung Zustand: New. pp. xiv + 168. Bestandsnummer des Verkäufers 26746471
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Buchbeschreibung Zustand: New. Brand New Original US Edition.We Ship to PO BOX Address also. EXPEDITED shipping option also available for faster delivery.This item may ship from the US or other locations in India depending on your location and availability. Bestandsnummer des Verkäufers ABTR-65771
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Linear and Integer Programming vs Linear Integration and Counting
Verlag:
Springer New York Apr 2009
(2009)
ISBN 10: 038709413X
ISBN 13: 9780387094137
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Buchbeschreibung Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In this book the author analyzes and compares four closely related problems, namely linear programming, integer programming, linear integration, linear summation (or counting). The focus is on duality and the approach is rather novel as it puts integer programming in perspective with three associated problems, and permits one to define discrete analogues of well-known continuous duality concepts, and the rationale behind them. Also, the approach highlights the difference between the discrete and continuous cases. Central in the analysis are the continuous and discrete Brion and Vergne's formulae for linear integration and counting. This approach provides some new insights on duality concepts for integer programs, and also permits to retrieve and shed new light on some well-known results. For instance, Gomory relaxations and the abstract superadditive dual of integer programs are re-interpreted in this algebraic approach.This book will serve graduate students and researchers in applied mathematics, optimization, operations research and computer science. Due to the substantial practical importance of some presented problems, researchers in other areas will also find this book useful. 184 pp. Englisch. Bestandsnummer des Verkäufers 9780387094137
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Linear and Integer Programming vs Linear Integration and Counting
Verlag:
Springer New York
(2009)
ISBN 10: 038709413X
ISBN 13: 9780387094137
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Buchbeschreibung Gebunden. Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Analyzes and compares four closely related nontrivial problems, namely linear programming, integer programming, linear integration, linear summation (or counting) with a focus on dualityProvides some new insights on duality concepts for integer pr. Bestandsnummer des Verkäufers 5908873
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Linear and Integer Programming vs Linear Integration and Counting : A Duality Viewpoint
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Buchbeschreibung Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - In this book the author analyzes and compares four closely related problems, namely linear programming, integer programming, linear integration, linear summation (or counting). The focus is on duality and the approach is rather novel as it puts integer programming in perspective with three associated problems, and permits one to define discrete analogues of well-known continuous duality concepts, and the rationale behind them. Also, the approach highlights the difference between the discrete and continuous cases. Central in the analysis are the continuous and discrete Brion and Vergne's formulae for linear integration and counting. This approach provides some new insights on duality concepts for integer programs, and also permits to retrieve and shed new light on some well-known results. For instance, Gomory relaxations and the abstract superadditive dual of integer programs are re-interpreted in this algebraic approach.This book will serve graduate students and researchers in applied mathematics, optimization, operations research and computer science. Due to the substantial practical importance of some presented problems, researchers in other areas will also find this book useful. Bestandsnummer des Verkäufers 9780387094137
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