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
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.
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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