Advances in Optimization and Linear Programming - Stanimirovi¿, Ivan
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Présentation Advances In Optimization And Linear Programming Format Relié
- Livre Informatique
Résumé : 1. Introduction 1.1 Multiobjective Optimization 1.2 Symbolic Transformations in Multi-Sector Optimization 1.3. Pareto Optimality Test 1.4 The Method of Weight Coefficients 1.5 Mathematical Model 1.6 Properties of a Set of Constraints 1.7 Geometrical Method 2. Simplex Method 2.1 Properties of Simplex Methods 2.2 The Algebraic Essence of the Simplex Method 2.3 The Term Tucker's Tables and the Simplex Method for Basic Permissible Canonical Forms 2.4 Algorithm of Simplex Method 2.5 Determination of the Initial Basic Permissible Solution 2.6 Two-Phase Simplex Methods 2.7 BigM Method 2.8 Duality in Linear Programming 2.9 Dual Simplex Method 2.10 Elimination of Equations and Free Variables 2.11 Revised Simplex Method 2.12 Cycling Concept and Anti-Cyclic Rules 2.13 Complexity of Simplex Methods and Minty-Klee Polyhedra 3. Three Direct Methods in Linear Programming 3.1 Basic Terms 3.2 Minimum Angle Method 3.3 Dependent Constraints and Application of Game Theory 3.4 Algorithms and Implementation Details 3.5 Direct Heuristic Algorithm with General Inverses
Biographie: 1. Introduction 1.1 Multiobjective Optimization 1.2 Symbolic Transformations in Multi-Sector Optimization 1.3. Pareto Optimality Test 1.4 The Method of Weight Coefficients 1.5 Mathematical Model 1.6 Properties of a Set of Constraints 1.7 Geometrical Method 2. Simplex Method 2.1 Properties of Simplex Methods 2.2 The Algebraic Essence of the Simplex Method 2.3 The Term Tucker?s Tables and the Simplex Method for Basic Permissible Canonical Forms 2.4 Algorithm of Simplex Method 2.5 Determination of the Initial Basic Permissible Solution 2.6 Two-Phase Simplex Methods 2.7 BigM Method 2.8 Duality in Linear Programming 2.9 Dual Simplex Method 2.10 Elimination of Equations and Free Variables 2.11 Revised Simplex Method 2.12 Cycling Concept and Anti-Cyclic Rules 2.13 Complexity of Simplex Methods and Minty-Klee Polyhedra 3. Three Direct Methods in Linear Programming 3.1 Basic Terms 3.2 Minimum Angle Method 3.3 Dependent Constraints and Application of Game Theory 3.4 Algorithms and Implementation Details 3.5 Direct Heuristic Algorithm with General Inverses
Sommaire: This new volume provides the information needed to understand the simplex method, the revised simplex method, dual simplex method, and more for solving linear programming problems.
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