Linear Programming Using MATLAB®

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 num...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Ploskas, Nikolaos (Συγγραφέας), Samaras, Nikolaos (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
Σειρά:Springer Optimization and Its Applications, 127
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Ploskas, Nikolaos.  |e author. 
245 1 0 |a Linear Programming Using MATLAB®  |h [electronic resource] /  |c by Nikolaos Ploskas, Nikolaos Samaras. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2017. 
300 |a XVII, 637 p. 59 illus., 47 illus. in color.  |b online resource. 
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490 1 |a Springer Optimization and Its Applications,  |x 1931-6828 ;  |v 127 
505 0 |a 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. 
520 |a 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. 
650 0 |a Mathematics. 
650 0 |a Computer science  |x Mathematics. 
650 0 |a Algorithms. 
650 0 |a Computer software. 
650 0 |a Mathematical optimization. 
650 1 4 |a Mathematics. 
650 2 4 |a Continuous Optimization. 
650 2 4 |a Mathematical Software. 
650 2 4 |a Math Applications in Computer Science. 
650 2 4 |a Algorithms. 
700 1 |a Samaras, Nikolaos.  |e author. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783319659176 
830 0 |a Springer Optimization and Its Applications,  |x 1931-6828 ;  |v 127 
856 4 0 |u http://dx.doi.org/10.1007/978-3-319-65919-0  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)