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Large Scale Linear and Integer Optimization: A Unified Approach

Author: Richard Kipp Martin
Publisher: Boston, MA : Springer US, 1999.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
There is a growing need in major industries such as airline, trucking, financial engineering, etc. to solve very large linear and integer linear optimization problems. Because of the dramatic increase in computing power, it is now possible to solve these problems. Along with the increase in computer power, the mathematical programming community has developed better and more powerful algorithms to solve very large  Read more...
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Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Richard Kipp Martin
ISBN: 9781461549758 1461549752
OCLC Number: 851821418
Description: 1 online resource (xvii, 740 pages)
Contents: 1 Linear and Integer Linear Optimization --
2 Linear Systems and Projection --
3 Linear Systems and Inverse Projection --
4 Integer Linear Systems: Projection and Inverse Projection --
5 The Simplex Algorithm --
6 More on Simplex --
7 Interior Point Algorithms: Polyhedral Transformations --
8 Interior Point Algorithms: Barrier Methods --
9 Integer Programming --
10 Projection: Benders' Decomposition --
11 Inverse Projection: Dantzig-Wolfe Decomposition --
12 Lagrangian Methods --
13 Sparse Methods --
14 Network Flow Linear Programs --
15 Large Integer Programs: Preprocessing and Cutting Planes --
16 Large Integer Programs: Projection and Inverse Projection --
VI Appendix --
A Polyhedral Theory --
A.1 Introduction --
A.2 Concepts and Definitions --
A.3 Faces of Polyhedra --
A.4 Finite Basis Theorems --
A.5 Inner Products, Subspaces and Orthogonal Subspaces --
A. 6 Exercises --
B Complexity Theory --
B.1 Introduction --
B.2 Solution Sizes --
B.3 The Turing Machine --
B.4 Complexity Classes --
B.5 Satisfiability --
B.7 Complexity of Gaussian Elimination --
B.8 Exercises --
C Basic Graph Theory --
D Software And Test Problems --
E NOTATION --
References --
Author Index --
Topic Index.
Responsibility: by Richard Kipp Martin.

Abstract:

This is a textbook about linear and integer linear optimization. The major goal of the book is to develop the theory of linear and integer linear optimization in a unified manner and then demonstrate  Read more...

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From the reviews of the first edition:"This book is a very comprehensive textbook of linear and integer optimization. It presents a unified approach to the subject and is one of the few books Read more...

 
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