Linear Programming And Network Flows, 2Nd Ed
Title | Linear Programming And Network Flows, 2Nd Ed PDF eBook |
Author | Mokhtar S. Bazaraa |
Publisher | John Wiley & Sons |
Pages | 710 |
Release | 2008-11-04 |
Genre | |
ISBN | 9788126518920 |
The book addresses the problem of minimizing or maximizing a linear function in the presence of linear equality or inequality constraints. The general theory and characteristics of optimization problems are presented, along with effective solution algorithms. It explores linear programming and network flows, employing polynomial-time algorithms and various specializations of the simplex method. The text also includes many numerical examples to illustrate theory and techniques.· Linear Algebra, Convex Analysis, and Polyhedral Sets· The Simplex Method· Starting Solution and Convergence· Special Simplex Implementations and Optimality Conditions· Duality and Sensitivity Analysis· The Decomposition Principle· Complexity of the Simplex Algorithm and Polynomial Algorithms· Minimal Cost Network Flows· The Transportation and Assignment Problems· The Out-of-Kilter Algorithm· Maximal Flow, Shortest Path, Multicommodity Flow, and Network Synthesis Problems
Linear Programming and Network Flows
Title | Linear Programming and Network Flows PDF eBook |
Author | Mokhtar S. Bazaraa |
Publisher | |
Pages | 706 |
Release | 1990 |
Genre | Computers |
ISBN |
Table of contents
Linear Programming & Network Flows
Title | Linear Programming & Network Flows PDF eBook |
Author | M. S. Bazaraa |
Publisher | |
Pages | 684 |
Release | 2003 |
Genre | Linear programming |
ISBN | 9789812530417 |
Linear Programming and Network Flows
Title | Linear Programming and Network Flows PDF eBook |
Author | Mokhtar S. Bazaraa |
Publisher | John Wiley & Sons |
Pages | 595 |
Release | 2011-09-28 |
Genre | Mathematics |
ISBN | 1118211324 |
The authoritative guide to modeling and solving complex problems with linear programming—extensively revised, expanded, and updated The only book to treat both linear programming techniques and network flows under one cover, Linear Programming and Network Flows, Fourth Edition has been completely updated with the latest developments on the topic. This new edition continues to successfully emphasize modeling concepts, the design and analysis of algorithms, and implementation strategies for problems in a variety of fields, including industrial engineering, management science, operations research, computer science, and mathematics. The book begins with basic results on linear algebra and convex analysis, and a geometrically motivated study of the structure of polyhedral sets is provided. Subsequent chapters include coverage of cycling in the simplex method, interior point methods, and sensitivity and parametric analysis. Newly added topics in the Fourth Edition include: The cycling phenomenon in linear programming and the geometry of cycling Duality relationships with cycling Elaboration on stable factorizations and implementation strategies Stabilized column generation and acceleration of Benders and Dantzig-Wolfe decomposition methods Line search and dual ascent ideas for the out-of-kilter algorithm Heap implementation comments, negative cost circuit insights, and additional convergence analyses for shortest path problems The authors present concepts and techniques that are illustrated by numerical examples along with insights complete with detailed mathematical analysis and justification. An emphasis is placed on providing geometric viewpoints and economic interpretations as well as strengthening the understanding of the fundamental ideas. Each chapter is accompanied by Notes and References sections that provide historical developments in addition to current and future trends. Updated exercises allow readers to test their comprehension of the presented material, and extensive references provide resources for further study. Linear Programming and Network Flows, Fourth Edition is an excellent book for linear programming and network flow courses at the upper-undergraduate and graduate levels. It is also a valuable resource for applied scientists who would like to refresh their understanding of linear programming and network flow techniques.
Linear Programming and Network Flows
Title | Linear Programming and Network Flows PDF eBook |
Author | M. S. Bazaraa |
Publisher | John Wiley & Sons |
Pages | 582 |
Release | 1977 |
Genre | Mathematics |
ISBN |
Results from linear algebra and convex analysis; the simplex method; starting solution and convergence; special simplex forms and optimality conditions; duality and sensitivity; the decomposition principle; the transportation and assignment problems; minimal cost network flows; the out-of-kilter algorithm; maximal flow, shortest path, and multicommodity flow problems; proof of the representation theorem.
Linear Programming
Title | Linear Programming PDF eBook |
Author | Saul I. Gass |
Publisher | Courier Corporation |
Pages | 545 |
Release | 2003-01-01 |
Genre | Mathematics |
ISBN | 048643284X |
Comprehensive, well-organized volume, suitable for undergraduates, covers theoretical, computational, and applied areas in linear programming. Expanded, updated edition; useful both as a text and as a reference book. 1995 edition.
Linear Programming: Foundations and Extensions
Title | Linear Programming: Foundations and Extensions PDF eBook |
Author | Robert J. Vanderbei |
Publisher | Springer |
Pages | 440 |
Release | 1998-03-31 |
Genre | Business & Economics |
ISBN | 0792381416 |
This book focuses largely on constrained optimization. It begins with a substantial treatment of linear programming and proceeds to convex analysis, network flows, integer programming, quadratic programming, and convex optimization. Along the way, dynamic programming and the linear complementarity problem are touched on as well. This book aims to be the first introduction to the topic. Specific examples and concrete algorithms precede more abstract topics. Nevertheless, topics covered are developed in some depth, a large number of numerical examples worked out in detail, and many recent results are included, most notably interior-point methods. The exercises at the end of each chapter both illustrate the theory, and, in some cases, extend it. Optimization is not merely an intellectual exercise: its purpose is to solve practical problems on a computer. Accordingly, the book comes with software that implements the major algorithms studied. At this point, software for the following four algorithms is available: The two-phase simplex method The primal-dual simplex method The path-following interior-point method The homogeneous self-dual methods.£/LIST£.