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DOI: 10.4230/DagSemProc.09261.31
URN: urn:nbn:de:0030-drops-21679
URL: https://drops.dagstuhl.de/opus/volltexte/2009/2167/
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Fügenschuh, Armin ; Geißler, Björn ; Martin, Alexander ; Morsi, Antonio

The Transport PDE and Mixed-Integer Linear Programming

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09261.MartinAlexander.Paper.2167.pdf (0.2 MB)


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.



BibTeX - Entry

@InProceedings{fugenschuh_et_al:DagSemProc.09261.31,
  author =	{F\"{u}genschuh, Armin and Gei{\ss}ler, Bj\"{o}rn and Martin, Alexander and Morsi, Antonio},
  title =	{{The Transport PDE and Mixed-Integer Linear Programming}},
  booktitle =	{Models and Algorithms for Optimization in Logistics},
  pages =	{1--9},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2009},
  volume =	{9261},
  editor =	{Cynthia Barnhart and Uwe Clausen and Ulrich Lauther and Rolf H. M\"{o}hring},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2009/2167},
  URN =		{urn:nbn:de:0030-drops-21679},
  doi =		{10.4230/DagSemProc.09261.31},
  annote =	{Keywords: Transport Equation, Partial Differential Equation, Mixed-Integer Linear Programming, Modeling, Nonlinear Constraints}
}

Keywords: Transport Equation, Partial Differential Equation, Mixed-Integer Linear Programming, Modeling, Nonlinear Constraints
Collection: 09261 - Models and Algorithms for Optimization in Logistics
Issue Date: 2009
Date of publication: 02.10.2009


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