TY - GEN AB - 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.-- AU - Ploskas, Nikolaos, AU - Samaras, Nikolaos, CN - T57.74 DO - 10.1007/978-3-319-65919-0 DO - doi ID - 805666 KW - Linear programming. KW - Mathematics. KW - Computer science KW - Algorithms. KW - Computer software. KW - Mathematical optimization. LK - https://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-65919-0 N2 - 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.-- SN - 9783319659190 SN - 3319659197 T1 - Linear programming using MATLAB® / TI - Linear programming using MATLAB® / UR - https://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-65919-0 VL - v. 127 ER -