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Produktdetails
- Produktdetails
- Mathematical Research Nr.39
- Verlag: De Gruyter
- Literaturverz. S. 133¿138, Reprint 2021
- Seitenzahl: 144
- Erscheinungstermin: 14. Januar 1989
- Deutsch
- Abmessung: 246mm x 175mm x 14mm
- Gewicht: 435g
- ISBN-13: 9783112472651
- ISBN-10: 3112472659
- Artikelnr.: 62911065
- Mathematical Research Nr.39
- Verlag: De Gruyter
- Literaturverz. S. 133¿138, Reprint 2021
- Seitenzahl: 144
- Erscheinungstermin: 14. Januar 1989
- Deutsch
- Abmessung: 246mm x 175mm x 14mm
- Gewicht: 435g
- ISBN-13: 9783112472651
- ISBN-10: 3112472659
- Artikelnr.: 62911065
Frontmatter
Preface
Contents
1. Introduction
2. Multifunctions and Constraint Sets
2.1. Definitions
2.2. Parameter Depending Constraint Sets
3. Stability of Some Continuous Optimization Problems
3.1. Definitions
3.2. Stability Properties
4. Quasiconvex Polynomial Optimization Problems
4.1. Properties of Quasiconvex Polynomial Functions
4.2. Multifunctions and Constraint Sets Defined by Quasi
convex Polynomial Functions
4.3. Stability Properties for a Fixed Objective Function
5. Integer Points in Certain Subsets of the Space Rn
5.1. Subsets Described as the Sum of a Compact Set and a Convex Cone
5.2. Subsets Described by Quasiconvex Polynomial Functions
5.3. Polyhedral Subsets
6. Stability Properties of Nonlinear Integer Optimization Problems
6.1. Introduction
6.2. Integer Problems with Quadratic Objective Function
6.3. Integer Problems with a Convex Polynomial Objective Function
7. The Existence of Optimal Points for Integer Optimization Problems
7.1. Concave Objective Functions
7.2. Polynomial Objective Functions
7.3. Some Special Mixed
Integer Optimization Problems
8. Quantitative Stability of (Mixed
) Integer Linear Optimization Problems
9. On Relations between Parametric Optimization, Solution Concepts and Subadditive Duality for Integer Optimization
9.1. Penalty Functions for (Mixed
) Integer Linear Optimization
9.2. Partitioning Procedures
9.3. Subadditive Duality
Bibliography
Backmatter
Preface
Contents
1. Introduction
2. Multifunctions and Constraint Sets
2.1. Definitions
2.2. Parameter Depending Constraint Sets
3. Stability of Some Continuous Optimization Problems
3.1. Definitions
3.2. Stability Properties
4. Quasiconvex Polynomial Optimization Problems
4.1. Properties of Quasiconvex Polynomial Functions
4.2. Multifunctions and Constraint Sets Defined by Quasi
convex Polynomial Functions
4.3. Stability Properties for a Fixed Objective Function
5. Integer Points in Certain Subsets of the Space Rn
5.1. Subsets Described as the Sum of a Compact Set and a Convex Cone
5.2. Subsets Described by Quasiconvex Polynomial Functions
5.3. Polyhedral Subsets
6. Stability Properties of Nonlinear Integer Optimization Problems
6.1. Introduction
6.2. Integer Problems with Quadratic Objective Function
6.3. Integer Problems with a Convex Polynomial Objective Function
7. The Existence of Optimal Points for Integer Optimization Problems
7.1. Concave Objective Functions
7.2. Polynomial Objective Functions
7.3. Some Special Mixed
Integer Optimization Problems
8. Quantitative Stability of (Mixed
) Integer Linear Optimization Problems
9. On Relations between Parametric Optimization, Solution Concepts and Subadditive Duality for Integer Optimization
9.1. Penalty Functions for (Mixed
) Integer Linear Optimization
9.2. Partitioning Procedures
9.3. Subadditive Duality
Bibliography
Backmatter
Frontmatter
Preface
Contents
1. Introduction
2. Multifunctions and Constraint Sets
2.1. Definitions
2.2. Parameter Depending Constraint Sets
3. Stability of Some Continuous Optimization Problems
3.1. Definitions
3.2. Stability Properties
4. Quasiconvex Polynomial Optimization Problems
4.1. Properties of Quasiconvex Polynomial Functions
4.2. Multifunctions and Constraint Sets Defined by Quasi
convex Polynomial Functions
4.3. Stability Properties for a Fixed Objective Function
5. Integer Points in Certain Subsets of the Space Rn
5.1. Subsets Described as the Sum of a Compact Set and a Convex Cone
5.2. Subsets Described by Quasiconvex Polynomial Functions
5.3. Polyhedral Subsets
6. Stability Properties of Nonlinear Integer Optimization Problems
6.1. Introduction
6.2. Integer Problems with Quadratic Objective Function
6.3. Integer Problems with a Convex Polynomial Objective Function
7. The Existence of Optimal Points for Integer Optimization Problems
7.1. Concave Objective Functions
7.2. Polynomial Objective Functions
7.3. Some Special Mixed
Integer Optimization Problems
8. Quantitative Stability of (Mixed
) Integer Linear Optimization Problems
9. On Relations between Parametric Optimization, Solution Concepts and Subadditive Duality for Integer Optimization
9.1. Penalty Functions for (Mixed
) Integer Linear Optimization
9.2. Partitioning Procedures
9.3. Subadditive Duality
Bibliography
Backmatter
Preface
Contents
1. Introduction
2. Multifunctions and Constraint Sets
2.1. Definitions
2.2. Parameter Depending Constraint Sets
3. Stability of Some Continuous Optimization Problems
3.1. Definitions
3.2. Stability Properties
4. Quasiconvex Polynomial Optimization Problems
4.1. Properties of Quasiconvex Polynomial Functions
4.2. Multifunctions and Constraint Sets Defined by Quasi
convex Polynomial Functions
4.3. Stability Properties for a Fixed Objective Function
5. Integer Points in Certain Subsets of the Space Rn
5.1. Subsets Described as the Sum of a Compact Set and a Convex Cone
5.2. Subsets Described by Quasiconvex Polynomial Functions
5.3. Polyhedral Subsets
6. Stability Properties of Nonlinear Integer Optimization Problems
6.1. Introduction
6.2. Integer Problems with Quadratic Objective Function
6.3. Integer Problems with a Convex Polynomial Objective Function
7. The Existence of Optimal Points for Integer Optimization Problems
7.1. Concave Objective Functions
7.2. Polynomial Objective Functions
7.3. Some Special Mixed
Integer Optimization Problems
8. Quantitative Stability of (Mixed
) Integer Linear Optimization Problems
9. On Relations between Parametric Optimization, Solution Concepts and Subadditive Duality for Integer Optimization
9.1. Penalty Functions for (Mixed
) Integer Linear Optimization
9.2. Partitioning Procedures
9.3. Subadditive Duality
Bibliography
Backmatter