The Transport PDE and Mixed-Integer Linear Programming

Fügenschuh, Armin; Geißler, Björn; Martin, Alexander; Morsi, Antonio

doi:10.4230/DagSemProc.09261.31

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The Transport PDE and Mixed-Integer Linear Programming

Authors Armin Fügenschuh, Björn Geißler, Alexander Martin, Antonio Morsi

Part of: Volume: Dagstuhl Seminar Proceedings, Volume 9261
Part of: Series: Dagstuhl Seminar Proceedings (DagSemProc)
License: Creative Commons Attribution 4.0 International license
Publication Date: 2009-10-02

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Document Identifiers

DOI: 10.4230/DagSemProc.09261.31
URN: urn:nbn:de:0030-drops-21679

Subject Classification

Keywords

Transport Equation
Partial Differential Equation
Mixed-Integer Linear Programming
Modeling
Nonlinear Constraints

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Abstract

Discrete, nonlinear and PDE constrained optimization are mostly considered as
different fields of mathematical research. Nevertheless many real-life problems
are most naturally modeled as PDE constrained mixed integer nonlinear programs.
For example, nonlinear network flow problems where the flow dynamics are 
governed by a transport equation are of this type. We present four different 
applications together with the derivation of the associated transport equations
and we show how to model these problems in terms of mixed integer linear 
constraints.

Cite As Get BibTex

Armin Fügenschuh, Björn Geißler, Alexander Martin, and Antonio Morsi. The Transport PDE and Mixed-Integer Linear Programming. In Models and Algorithms for Optimization in Logistics. Dagstuhl Seminar Proceedings, Volume 9261, pp. 1-9, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2009) https://doi.org/10.4230/DagSemProc.09261.31

Author Details

Armin Fügenschuh

Björn Geißler

Alexander Martin

Antonio Morsi

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