The Transport PDE and Mixed-Integer Linear Programming

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

Thumbnail PDF


  • Filesize: 164 kB
  • 9 pages

Document Identifiers

Author Details

Armin Fügenschuh
Björn Geißler
Alexander Martin
Antonio Morsi

Cite AsGet 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)


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


  • Access Statistics
  • Total Accesses (updated on a weekly basis)
    PDF Downloads
Questions / Remarks / Feedback

Feedback for Dagstuhl Publishing

Thanks for your feedback!

Feedback submitted

Could not send message

Please try again later or send an E-mail