Linear and integer programming vs linear integration and counting : a duality viewpoint
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 associate...
Bewaard in:
| Hoofdauteur: | |
|---|---|
| Formaat: | Livre numérique |
| Taal: | Anglais |
| Gepubliceerd in: |
New York, NY :
Springer New York
2009.
Cham : Springer Nature |
| Reeks: | Springer Series in Operations Research and Financial Engineering
|
| Onderwerpen: | |
| Online toegang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Opmerking: |
Numérisation de l'édition de Dordrecht : New York : Springer, 2009 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Linear and Integer Programming vs Linear Integration and Counting, Texte imprimé, 9781441918536 • Linear and Integer Programming vs Linear Integration and Counting, Texte imprimé, 9780387560168 • Linear and Integer Programming vs Linear Integration and Counting, Texte imprimé, 9780387094137 |
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| 008 | 110627s2009 xx ||| |||| 00| 0 eng d | ||
| 009 | PPN15327235X | ||
| 020 | |a 9780387094144 (en ligne) | ||
| 041 | 0 | |a eng | |
| 082 | |a 519.72 | ||
| 084 | |a 90C05. 2010 | ||
| 084 | |a 90C10. 2010 | ||
| 100 | 1 | |a Lasserre, Jean-Bernard, |d 1953-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Linear and integer programming vs linear integration and counting : |b a duality viewpoint |c Jean Bernard Lasserre. |
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c 2009. | ||
| 490 | 0 | |a Springer Series in Operations Research and Financial Engineering |x 2197-1773 | |
| 500 | |a Numérisation de l'édition de Dordrecht : New York : Springer, 2009 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a I Linear Integration and Linear Programming -- The Linear Integration Problem I -- Comparing the Continuous Problems P and I -- II Linear Counting and Integer Programming -- The Linear Counting Problem I -- Relating the Discrete Problems P and I with P -- III Duality -- Duality and Gomory Relaxations -- Barvinok#x2019;s Counting Algorithm and Gomory Relaxations -- A Discrete Farkas Lemma -- The Integer Hull of a Convex Rational Polytope -- Duality and Superadditive Functions. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Programmation linéaire | ||
| 650 | |a Programmation en nombres entiers | ||
| 650 | |a Systèmes linéaires |x Modèles mathématiques | ||
| 776 | 0 | |t Linear and Integer Programming vs Linear Integration and Counting |b Texte imprimé |z 9781441918536 | |
| 776 | 0 | |t Linear and Integer Programming vs Linear Integration and Counting |b Texte imprimé |z 9780387560168 | |
| 776 | 0 | |t Linear and Integer Programming vs Linear Integration and Counting |b Texte imprimé |z 9780387094137 | |
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| 997 | |0 1403783 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||