Parametric Integer Optimization / Bernd Bank and Reinhard Mandel.

Format:

Book

Author/Creator:

Bank, Bernd, author.

Mandel, Reinhard, author.

Series:

Mathematical Research

Mathematical Research ; Volume 39

Language:

English

Subjects (All):

Mathematical optimization.

Physical Description:

1 online resource (144 pages).

Edition:

Literaturverz. S. 133–138, Reprint 2021

Place of Publication:

Berlin ; Boston : De Gruyter, 1988.

Summary:

Keine ausführliche Beschreibung für "Parametric Integer Optimization" verfügbar.

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

Notes:

Includes bibliographical references.

Description based on: online resource; title from PDF information screen (De Gruyter, viewed December 4, 2022).

Description based on publisher supplied metadata and other sources.

ISBN:

9783112472668

3112472667

OCLC:

1369661997