The Transport PDE and Mixed-Integer Linear Programming

Fügenschuh AR, Geißler B, Martin A, Morsi A (2009)

Publication Language: English

Publication Type: Book chapter / Article in edited volumes

Publication year: 2009

Publisher: Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik, Germany

Edited Volumes: Models and Algorithms for Optimization in Logistics

Series: Dagstuhl Seminar Proceedings

City/Town: Dagstuhl, Germany

Book Volume: 09261

Conference Proceedings Title: Models and Algorithms for Optimization in Logistics

Journal Issue: 09261

URI: http://drops.dagstuhl.de/opus/volltexte/2009/2167

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.

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How to cite

APA:

Fügenschuh, A.-R., Geißler, B., Martin, A., & Morsi, A. (2009). The Transport PDE and Mixed-Integer Linear Programming. In Cynthia Barnhart; Uwe Clausen; Ulrich Lauther; Rolf H. Möhring (Eds.), Models and Algorithms for Optimization in Logistics. Dagstuhl, Germany: Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik, Germany.

MLA:

Fügenschuh, Armin-René, et al. "The Transport PDE and Mixed-Integer Linear Programming." Models and Algorithms for Optimization in Logistics. Ed. Cynthia Barnhart; Uwe Clausen; Ulrich Lauther; Rolf H. Möhring, Dagstuhl, Germany: Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik, Germany, 2009.

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