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

Description

This book analyzes and compares four closely related problems, namely linear programming, integer programming, linear integration, and linear summation (or counting). The focus is on duality and the novel approach 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 which are not very well-known in the optimization community. 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.

Disclaimer:
Contents of this page are indexed from this page for search purpose only. All actions are under your responsability. Email us to report illegal contents or external links and we'll remove them immediately.

Please check the description for download links if any or do a search to find alternative books.

Can't Download?
Please search mirrors if you can't find download links for "Linear and Integer Programming vs Linear Integration and Counting: A Duality Viewpoint" in "Description" and someone else may update the links. Check the comments when back to find any updates.

Search Mirrors
Maybe some mirror pages will be helpful, search this book at top of this page or click here to find more info.

1. Ebooks list page : 2724
2. [share_ebook] Linear and Integer Programming vs Linear Integration and Counting: A Duality Viewpoint
3. Alexander Schrijver: Theory of Linear and Integer Programming
4. Linear & Integer Programming: Theory and Practice (Pure and Applied Mathematics)
5. Linear Complementarity, Linear and Nonlinear Programming
6. Integer Programming: Facets, Subadditivity, and Duality for Group and Semi-Group Problems
7. Numerical Analysis 2000 : Linear Algebra - Linear Systems and Eigenvalues
8. [request_ebook] Linear and Generalized Linear Mixed Models and Their Applications
9. Convex Variational Problems: Linear, nearly Linear and Anisotropic Growth Conditions (Lecture Notes in Mathematics)
10. Linear Algebra and Linear Operators in Engineering: With Applications in Mathematica
11. Linear Algebra and Linear Operators in Engineering: with Applications in Mathematica
12. Linear Algebra and Linear Operators in Engineering: with Applications in Mathematica
13. Extending the Linear Model with R: Generalized Linear, Mixed Effects and Nonparametric Regression Models (Texts in Statistical
14. Extending the Linear Model with R: Generalized Linear, Mixed Effects and Nonparametric Regression Models (Texts in Statistical
15. [request_ebook] Extending the Linear Model with R: Generalized Linear, Mixed Effects and Nonparametric Regression Models
16. Linear Algebra and Linear Models (2nd edition)