Linear and Integer Optimization: Theory and Practice, Third Edition: Advances in Applied Mathematics
Autor Gerard Sierksma, Yori Zwolsen Limba Engleză Paperback – 14 oct 2024
More advanced topics also are presented including interior point algorithms, the branch-and-bound algorithm, cutting planes, complexity, standard combinatorial optimization models, the assignment problem, minimum cost flow, and the maximum flow/minimum cut theorem.
The second part applies theory through real-world case studies. The authors discuss advanced techniques such as column generation, multiobjective optimization, dynamic optimization, machine learning (support vector machines), combinatorial optimization, approximation algorithms, and game theory.
Besides the fresh new layout and completely redesigned figures, this new edition incorporates modern examples and applications of linear optimization. The book now includes computer code in the form of models in the GNU Mathematical Programming Language (GMPL). The models and corresponding data files are available for download and can be readily solved using the provided online solver.
This new edition also contains appendices covering mathematical proofs, linear algebra, graph theory, convexity, and nonlinear optimization. All chapters contain extensive examples and exercises. This textbook is ideal for courses for advanced undergraduate and graduate students in various fields including mathematics, computer science, industrial engineering, operations research, and management science.
Toate formatele și edițiile | Preț | Express |
---|---|---|
Paperback (1) | 356.66 lei 6-8 săpt. | |
CRC Press – 14 oct 2024 | 356.66 lei 6-8 săpt. | |
Hardback (1) | 740.09 lei 3-5 săpt. | +60.28 lei 7-13 zile |
CRC Press – mai 2015 | 740.09 lei 3-5 săpt. | +60.28 lei 7-13 zile |
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Specificații
ISBN-13: 9781032917801
ISBN-10: 1032917806
Pagini: 686
Ilustrații: 175
Dimensiuni: 178 x 254 mm
Greutate: 1.27 kg
Ediția:3
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Advances in Applied Mathematics
Locul publicării:Boca Raton, United States
ISBN-10: 1032917806
Pagini: 686
Ilustrații: 175
Dimensiuni: 178 x 254 mm
Greutate: 1.27 kg
Ediția:3
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Advances in Applied Mathematics
Locul publicării:Boca Raton, United States
Public țintă
PostgraduateCuprins
Basic Concepts of Linear Optimization. LINEAR OPTIMIZATION THEORY: BASIC TECHNIQUES. Geometry and Algebra of Feasible Regions. Dantzig’s Simplex Algorithm. Duality, Feasibility, and Optimality. Sensitivity Analysis. Large-Scale Linear Optimization. Integer Linear Optimization. Linear Network Models. Computational Complexity. LINEAR OPTIMIZATION PRACTICE: ADVANCED TECHNIQUES. Designing a Reservoir for Irrigation. Classifying Documents by Language. Production Planning; A Single Product Case. Production of Coffee Machines. Conflicting Objectives: Producing Versus Importing. Coalition Formation and Profit Distribution. Minimizing Trimloss When Cutting Cardboard. Off-Shore Helicopter Routing. The Catering Service Problem. Appendix A Mathematical Proofs. Appendix B Linear Algebra. Appendix C Graph Theory. Appendix D Convexity. Appendix E Nonlinear Optimization. Appendix F Writing LO-Models in GNU MathProg (GMPL). List of Symbols. Bibliography.
Notă biografică
Gerard Sierksma, PhD, University of Groningen, The Netherlands
Yori Zwols, PhD, Google UK, London
Yori Zwols, PhD, Google UK, London
Recenzii
Praise for the first edition:
"...very recommendable as a textbook and to anybody wishing to learn the topic."
—Optimization (1997)
"...the book is a nice balance between theory and applications...and gives a sound background for the techniques used and for investigating real problems."
—Zentralblatt für Mathematik (1998)
"...very recommendable as a textbook and to anybody wishing to learn the topic."
—Optimization (1997)
"...the book is a nice balance between theory and applications...and gives a sound background for the techniques used and for investigating real problems."
—Zentralblatt für Mathematik (1998)
Descriere
This textbook presents a strong and clear relationship between theory and practice. It covers basic topics such as Dantzig’s simplex algorithm, duality, sensitivity analysis, integer optimization models, and network models as well as more advanced topics including interior point algorithms, the branch-and-bound algorithm, cutting planes,