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Linear programming : foundations and extensions / Robert J. Vanderbei
Cham : Springer, 2020
xxv, 471 pages. : illustrations (some color) ; 25 cm.
Ký hiệu phân loại (DDC): 005.11
The book provides a broad introduction to both the theory and the application of optimization with a special emphasis on the elegance, importance, and usefulness of the parametric self-dual simplex method. The book assumes that a problem in "standard form," is a problem with inequality constraints and nonnegative variables.
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Linear programming and resource allocation modeling / Michael J. Panik
Hobokne, NJ : Wiley, 2019
448 pages. ; 25 cm.
Ký hiệu phân loại (DDC): 512.007
Guides in the application of linear programming to firm decision making, with the goal of giving decision-makers a better understanding of methods at their disposal Useful as a main resource or as a supplement in an economics or management science course, this comprehensive book addresses the deficiencies of other texts when it comes to covering linear programming theory-especially where data envelopment analysis (DEA) is concerned-and provides the foundation for the development of DEA. Linear Programming and Resource Allocation Modeling begins by introducing primal and dual problems via an optimum product mix problem, and reviews the rudiments of vector and matrix operations.
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Linear Programming Using MATLAB® / Nikolaos Ploskas, Nikolaos Samaras
New York, NY : Springer Science+Business Media, 2017
637 p. ; cm.
Ký hiệu phân loại (DDC): 629
This book offers a theoretical and computational presentation of a variety of linear programming algorithms and methods with an emphasis on the revised simplex method and its components. A theoretical background and mathematical formulation is included for each algorithm as well as comprehensive numerical examples and corresponding MATLAB code. The MATLAB implementations presented in this book are sophisticated and allow users to find solutions to large-scale benchmark linear programs. Each algorithm is followed by a computational study on benchmark problems that analyze the computational behavior of the presented algorithms.
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Understanding and using linear programming / Jiří Matoušek; Bernd Gärtner
Berlin : Springer, 2007
229 p. : illustrations
Ký hiệu phân loại (DDC): 519.72
This is an introductory textbook of linear programming, written mainly for students of computer science and mathematics. Our guiding phrase is, "what everytheoreticalcomputerscientistshouldknowaboutlinearprogramming." The book is relatively concise, in order to allow the reader to focus on the basic ideas. For a number of topics commonly appearing in thicker books on the subject, we were seriously tempted to add them to the main text, but we decided to present them only very brie?y in a separate glossary. At the same time, we aim at covering the main results with complete proofs and in su?cient detail, in a way ready for presentation in class. One of the main focuses is applications of linear programming, both in practice and in theory. Linear programming has become an extremely?- ible tool in theoretical computer science and in mathematics. While many of the?nest modern applications are much too complicated to be included in an introductory text, we hope to communicate some of the?avor (and excitement) of such applications on simpler examples.
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