Parametric Integer Optimization

by Bernd Bank, Reinhard Mandel

Overview

Keine ausführliche Beschreibung für "Parametric Integer Optimization" verfügbar.

Product Details

ISBN-13:	9783112472651
Publisher:	De Gruyter
Publication date:	01/14/1989
Series:	Mathematical Research , #39
Edition description:	Literaturverz. S. 133-138, Reprint 2021
Pages:	144
Product dimensions:	6.69(w) x 9.61(h) x 0.38(d)
Language:	German
Age Range:	18 Years

Table of Contents

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