Nonlinear Integer Programming (International Series in Operations Research & Management Science)

ISBN: 0387295038

Format: pdf

Category: Technical

Tag: Science/Engineering


Posted on 2007-12-09, updated at 2008-02-18. By anonymous.

Description



Duan Li (Author), Xiaoling Sun (Author), "Nonlinear Integer Programming (International Series in Operations Research & Management Science)"
Pages: 440 | Publisher: Springer; 1edt(May 3, 2006) | ISBN:0387295038 | English | PDF | 16.6 MB

The methodological development of integer programming has grown by leaps and bounds in the past four decades, with its main focus on linear integer programming. However, the past few years have also witnessed certain promising theoretical and methodological achievements in nonlinear integer programming. These recent developments have produced applications of nonlinear (mixed) integer programming across a variety of various areas of scientific computing, engineering, management science and operations research. Its prominent applications include, for examples, portfolio selection, capital budgeting, production planning, resource allocation, computer networks, reliability networks and chemical engineering.
In recognition of nonlinearity's academic significance in optimization and its importance in real world applications, NONLINEAR INTEGER PROGRAMMING is a comprehensive and systematic treatment of the methodology. The book's goal is to bring the state-of-the-art of the theoretical foundation and solution methods for nonlinear integer programming to students and researchers in optimization, operations research, and computer science. This book systemically investigates theory and solution methodologies for general nonlinear integer programming, and at the same time, provides a timely and comprehensive summary of the theoretical and algorithmic development in the last 30 years on this topic. The following are some features of the book:

- Duality theory for nonlinear integer programming is thoroughly discussed.
- Convergent Lagrangian and cutting methods for separable nonlinear integer programming are explained.
- Convexification scheme and the relation between the monotonicity and convexity is explored and illustrated.
- A solution framework is provided using global descent.
- Computational implementations for large-scale nonlinear integer programming problems are demonstrated for several efficient solution algorithms presented in the book.


Review

"This book addresses the topic of the general nonlinear integer programming (NLIP). The overall goal of the book is to bring the state of the art of the theoretical foundations and solution methods of NLIP to readers who are interested in optimization, operations research and computer science. This book investigates the theory and solution methodologies for the general NLIP and provides the developments of the last 30 years. It is assumed that readers are familiar with linear integer programming and the book thus focuses on the theory and solution methodologies of NLIP. The following are some of the features of the book: roster item"$bullet$" Duality theory for NLIP: Investigation into the relationship of the duality gap and the perturbation function has lead to the development of nonlinear Lagrangian theory, thus establishing a methodology for the solution of the NLIP. item"$bullet$" Convergent Lagrangian and cutting plane methods for NLIP: Concepts like the objective level cuts, objective contour cuts or the domain cut reshapes the perturbation function. This leads to the optimal solution to lie in the convex hull of the perturbation functions and thus guarantees a zero duality gap. item"$bullet$" Convexification scheme: Using the connection between monotonicity and convexity, convexification schemes are developed for monotone and non-convex integer programs, thus extending the reach of branch and bound methods. item"$bullet$" Solution framework using global descent: The optimal solution of an NLIP is sought from among the local minima. A theoretical framework is also established to escape from a local minimum. item"$bullet$" Computational implications for NLIP: Several NLIPs with up to several thousand variables are solved by solution algorithms presented in this book."
(Romesh Saigal, Mathematical Reviews)
Complaints received. Download links deleted.

Sponsored High Speed Downloads
9201 dl's @ 3306 KB/s
Download Now [Full Version]
8017 dl's @ 3885 KB/s
Download Link 1 - Fast Download
9749 dl's @ 3992 KB/s
Download Mirror - Direct Download



Search More...
Nonlinear Integer Programming (International Series in Operations Research & Management Science)

Search free ebooks in ebookee.com!


Links
Download this book

No active download links here?
Please check the description for download links if any or do a search to find alternative books.


Related Books

  1. Ebooks list page : 1468
  2. 2011-01-02Logic and Integer Programming (International Series in Operations Research & Management Science) (Repost)
  3. 2011-05-24Practical Goal Programming (International Series in Operations Research & Management Science)
  4. 2011-05-29Nonlinear Integer Programming (International Series in Operations Research & Management Science)
  5. 2009-03-31Linear Programming: Foundations and Extensions, 3rd Edition (International Series in Operations Research & Management Science)
  6. 2008-12-06Network Science, Nonlinear Science and Infrastructure Systems (International Series in Operations Research & Management Science
  7. 2007-06-06Linear Programming: Foundations and Extensions (International Series in Operations Research & Management Science)
  8. 2013-12-014th Party Cyber Logistics for Air Cargo (International Series in Operations Research & Management Science) (repost)
  9. 2013-09-21Engineering Risk and Finance (International Series in Operations Research & Management Science)
  10. 2012-02-27Handbook on Semidefinite, Conic and Polynomial Optimization (International Series in Operations Research & Management Science)
  11. 2011-09-18Supply Chain Engineering (International Series in Operations Research & Management Science)
  12. 2011-05-25Planning Production and Inventories in the Extended Enterprise: A State-of-the-Art Handbook, Volume 2 (International Series in Operations Research & Management Science)
  13. 2011-05-25Uncertainty and Environmental Decision Making: A Handbook of Research and Best Practice (International Series in Operations Research & Management Science)
  14. 2011-01-25Foundations of Location Analysis (International Series in Operations Research & Management Science)
  15. 2010-11-26Benchmarking with DEA, SFA, and R (International Series in Operations Research & Management Science)
  16. 2010-09-30Project Scheduling: A Research Handbook (International Series in Operations Research & Management Science) (Repost)
  17. 2010-09-29Handbook of Operations Research in Natural Resources (International Series in Operations Research & Management Science)
  18. 2009-11-20Perspectives in Modern Project Scheduling (International Series in Operations Research & Management Science)
  19. 2009-03-16Markov Chains: Models, Algorithms and Applications (International Series in Operations Research & Management Science)
  20. 2009-02-02Time-Varying Network Optimization (International Series in Operations Research & Management Science)

Comments

No comments for "Nonlinear Integer Programming (International Series in Operations Research & Management Science)".


    Add Your Comments
    1. Download links and password may be in the description section, read description carefully!
    2. Do a search to find mirrors if no download links or dead links.
    Back to Top