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Linear Programming Using MATLAB® / by Nikolaos Ploskas, Nikolaos Samaras

データ種別 電子書籍
出版者 Cham : Springer International Publishing : Imprint: Springer
出版年 2017

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URL オンライン

EB2939321


書誌詳細を非表示

書誌ID OB01039330
本文言語 英語
一般注記 1. Introduction -- 2. Linear Programming Algorithms -- 3. Linear Programming Benchmark and Random Problems -- 4. Presolve Methods -- 5. Scaling Techniques -- 6. Pivoting Rules -- 7. Basis Inverse and  Update Methods -- 8. Revised Primal Simplex Algorithm -- 9. Exterior Point Simplex Algorithms -- 10. Interior Point Method -- 11. Sensitivity Analysis -- Appendix: MATLAB’s Optimization Toolbox Algorithms --  Appendix: State-of-the-art Linear Programming Solvers;CLP and CPLEX.
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Summary: 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. As a solid companion to existing algorithmic-specific literature, this book will be useful to researchers, scientists, mathematical programmers, and students with a basic knowledge of linear algebra and calculus.  The clear presentation enables the reader to understand and utilize all components of simplex-type methods, such as presolve techniques, scaling techniques, pivoting rules, basis update methods, and sensitivity analysis
著者標目 *Ploskas, Nikolaos
Samaras, Nikolaos
SpringerLink (Online service)
統一書名標目 Springer Optimization and Its Applications,
件 名 LCSH:Mathematics
LCSH:Computer science -- Mathematics  全ての件名で検索
LCSH:Algorithms
LCSH:Computer software
LCSH:Mathematical optimization
FREE:Mathematics
FREE:Continuous Optimization
FREE:Mathematical Software
FREE:Math Applications in Computer Science
FREE:Algorithms
分 類 LCC:QA402.5-402.6
DC23:519.6
巻冊次 ISBN:9783319659190 RefWorks出力(各巻)
print ; ISBN:9783319659176 RefWorks出力(各巻)
資料種別 機械可読データファイル
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