Solving network design problems via decomposition, aggregation and approximation / by Andreas Bärmann.

Format:

Book

Author/Creator:

Bärmann, Andreas., Author.

Series:

Research

Language:

English

Subjects (All):

Mathematical optimization.

Operations research.

Decision making.

Business logistics.

Optimization.

Operations Research/Decision Theory.

Logistics.

Local Subjects:

Optimization.

Operations Research/Decision Theory.

Logistics.

Physical Description:

1 online resource (XV, 203 p. 32 illus., 28 illus. in color.)

Edition:

1st ed. 2016.

Place of Publication:

Wiesbaden : Springer Fachmedien Wiesbaden : Imprint: Springer Spektrum, 2016.

Summary:

Andreas Bärmann develops novel approaches for the solution of network design problems as they arise in various contexts of applied optimization. At the example of an optimal expansion of the German railway network until 2030, the author derives a tailor-made decomposition technique for multi-period network design problems. Next, he develops a general framework for the solution of network design problems via aggregation of the underlying graph structure. This approach is shown to save much computation time as compared to standard techniques. Finally, the author devises a modelling framework for the approximation of the robust counterpart under ellipsoidal uncertainty, an often-studied case in the literature. Each of these three approaches opens up a fascinating branch of research which promises a better theoretical understanding of the problem and an increasing range of solvable application settings at the same time. Contents Decomposition for Multi-Period Network Design Solving Network Design Problems via Aggregation Approximate Second-Order Cone Robust Optimization Target Groups Researchers, teachers and students in mathematical optimization and operations research Network planners in the field of logistics and beyond < About the Author Dr. Andreas Bärmann is currently working as a postdoctoral researcher at the Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU) at the chair of Economics, Discrete Optimization and Mathematics. His research is focussed on mathematical optimization, especially the optimization of logistic processes.

Contents:

Decomposition for Multi-Period Network Design

Solving Network Design Problems via Aggregation

Approximate Second-Order Cone Robust Optimization.

Notes:

Includes bibliographical references.

ISBN:

3-658-13913-7