Linear Programming Computation - Info and Reading Options
By Ping-Qi PAN
"Linear Programming Computation" was published by Springer Singapore Pte. Limited in 2022 - Singapore, it has 1 pages and the language of the book is English.
“Linear Programming Computation” Metadata:
- Title: Linear Programming Computation
- Author: Ping-Qi PAN
- Language: English
- Number of Pages: 1
- Publisher: ➤ Springer Singapore Pte. Limited
- Publish Date: 2022
- Publish Location: Singapore
“Linear Programming Computation” Subjects and Themes:
- Subjects: Linear programming
Edition Identifiers:
- The Open Library ID: OL37332226M - OL20792596W
- ISBN-13: 9789811901461 - 9789811901478
- All ISBNs: 9789811901461 - 9789811901478
AI-generated Review of “Linear Programming Computation”:
"Linear Programming Computation" Description:
Open Data:
Intro -- Preface to First Edition -- Acknowledgments -- Preface to Second Edition -- References -- Contents -- About the Book -- About the Author -- Notation -- Part I Foundations -- 1 Introduction -- 1.1 Error of Floating-Point Arithmetic -- 1.2 From Real-Life Issue to LP Model -- 1.3 Illustrative Applications -- 1.4 Standard LP Problem -- 1.5 Basis and Feasible Basic Solution -- References -- 2 Geometry of Feasible Region -- 2.1 Feasible Region as Polyhedral Convex Set -- 2.2 Interior Point and Relative Interior Point -- 2.3 Face, Vertex, and Extreme Direction -- 2.4 Representation of Feasible Region -- 2.5 Optimal Face and Optimal Vertex -- 2.6 Graphic Approach -- 2.7 Heuristic Characteristic of Optimal Solution -- 2.8 Feasible Direction and Active Constraint -- References -- 3 Simplex Method -- 3.1 Simplex Algorithm: Tableau Form -- 3.2 Getting Started -- 3.3 Simplex Algorithm -- 3.4 Degeneracy and Cycling -- 3.5 Finite Pivot Rule -- 3.6 Notes on Simplex Method -- References -- 4 Implementation of Simplex Method -- 4.1 Miscellaneous -- 4.2 Scaling -- 4.3 LU Factorization of Basis -- 4.4 Sparse LU Factorization of Basis -- 4.5 Updating LU Factors -- 4.6 Crash Procedure for Initial Basis -- 4.7 Harris Rule and Tolerance Expending -- 4.8 Pricing for Reduced Cost -- References -- 5 Duality Principle and Dual Simplex Method -- 5.1 Dual LP Problem -- 5.2 Duality Theorem -- 5.3 Optimality Condition -- 5.4 Dual Simplex Algorithm: Tableau Form -- 5.5 Dual Simplex Algorithm -- 5.6 Economic Interpretation of Duality: Shadow Price -- 5.7 Dual Elimination -- 5.8 Bilevel LP: Intercepting Optimal Set -- 5.9 Notes on Duality -- References -- 6 Primal-Dual Simplex Method -- 6.1 Mixed Two-Phase Simplex Algorithm -- 6.2 Primal-Dual Simplex Algorithm -- 6.3 Self-Dual Parametric Simplex Algorithm -- 6.4 Criss-Cross Algorithm Using Most-Obtuse-Angle Rule
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