Linear and Integer Programming vs Linear Integration and Counting A Duality Viewpoint /

• Κύριος συγγραφέας: Lasserre, Jean-Bernard (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2009.
• Σειρά: Springer Series in Operations Research and Financial Engineering,
• Θέματα: Mathematics.; Computer science > Mathematics.; Convex geometry.; Discrete geometry.; Mathematical optimization.; Operations research.; Management science.; Operations Research, Management Science.; Optimization.; Discrete Mathematics in Computer Science.; Convex and Discrete Geometry.

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...

Πίνακας περιεχομένων:

• 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.