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...
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
New York, NY :
Springer New York
2009.
Cham : Springer Nature |
| Serie: | Springer Series in Operations Research and Financial Engineering
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| Soggetti: | |
| Accesso online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
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 |
Sommario:
- 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.