Parametric Integer Optimization / / Reinhard Mandel, Bernd Bank.

• Superior document: Title is part of eBook package: De Gruyter DGBA Mathematics - <1990
• VerfasserIn: Bank, Bernd,; Mandel, Reinhard,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2021]; ©1988
• Year of Publication: 2021
• Edition: Literaturverz. S. 133–138, Reprint 2021
• Language: German
• Series: Mathematical Research : Mathematische Forschung ; 39
• Physical Description: 1 online resource (144 p.)
• Other title: 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783112472668; 9783110635881
• DOI: 10.1515/9783112472668
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Reinhard Mandel, Bernd Bank.