Linear Programming and Network Flows (eBook)
768 Seiten
John Wiley & Sons (Verlag)
978-1-118-16445-7 (ISBN)
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.
Mokhtar S. Bazaraa, PhD, is Emeritus Professor at the H. Milton Stewart School of Industrial and Systems Engineering at Georgia Institute of Technology. He is the coauthor of Nonlinear Programming: Theory and Algorithms, Third Edition and Linear Programming and Network Flows, Third Edition, both published by Wiley. John J. Jarvis, PhD, is Emeritus Professor at the H. Milton Stewart School of Industrial and Systems Engineering at Georgia Institute of Technology. A Fellow of the Institute of Industrial Engineers (IIE) and the Institute for Operations Research and the Management Sciences (INFORMS), Dr. Jarvis is the coauthor of Linear Programming and Network Flows, Third Edition (Wiley). Hanif D. Sherali, PhD, is University Distinguished Professor and the W. Thomas Rice Chaired Professor of Engineering at the Virginia Polytechnic and State University. A Fellow of INFORMS and IIE, he is the coauthor of Nonlinear Programming: Theory and Algorithms, Third Edition and Linear Programming and Network Flows, Third Edition, both published by Wiley.
"The book can be used both as reference and as textbook for
advanced undergraduate students and first-year graduate students in
the fields of industrial engineering, management, operation
research, computer science, mathematics and other engineering
disciplines that deal with the subjects of linear programming and
network flows." (Zentralblatt MATH, 2011)
Erscheint lt. Verlag | 25.11.2013 |
---|---|
Sprache | englisch |
Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
Mathematik / Informatik ► Mathematik ► Finanz- / Wirtschaftsmathematik | |
Technik | |
Schlagworte | Applied Mathematics in Science • Business & Management • Business Statistics & Math • Industrial Engineering • Industrielle Verfahrenstechnik • Lineare Programmierung • Mathematics • Mathematik • Mathematik in den Naturwissenschaften • Wirtschaftsmathematik u. -statistik • Wirtschaft u. Management |
ISBN-10 | 1-118-16445-8 / 1118164458 |
ISBN-13 | 978-1-118-16445-7 / 9781118164457 |
Haben Sie eine Frage zum Produkt? |
Größe: 33,2 MB
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