License: Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported license (CC BY-NC-ND 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/OASIcs.ATMOS.2007.1180
URN: urn:nbn:de:0030-drops-11804
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2007/1180/
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Powell, Warren ; Bouzaiene-Ayari, Belgacem

13. Approximate dynamic programming for rail operations

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07001.PowellWarren.Paper.1180.pdf (0.2 MB)

Abstract

Approximate dynamic programming offers a new modeling and algorithmic strategy for complex problems such as rail operations. Problems in rail operations are often modeled using classical math programming models defined over space-time networks. Even simplified models can be hard to solve, requiring the use of various heuristics. We show how to combine math programming and simulation in an ADP-framework, producing a strategy that looks like simulation using iterative learning. Instead of solving a single, large optimization problem, we solve sequences of smaller ones that can be solved optimally using commercial solvers. We step forward in time using the same flexible logic used in simulation models. We show that we can still obtain near optimal solutions, while modeling operations at a very high level of detail. We describe how to adapt the strategy to the modeling of freight cars and locomotives.

BibTeX - Entry

@InProceedings{powell_et_al:OASIcs:2007:1180,
  author =	{Warren Powell and Belgacem Bouzaiene-Ayari},
  title =	{{13. Approximate dynamic programming for rail operations}},
  booktitle =	{7th Workshop on Algorithmic Approaches for Transportation Modeling, Optimization, and Systems (ATMOS'07)},
  series =	{OpenAccess Series in Informatics (OASIcs)},
  ISBN =	{978-3-939897-04-0},
  ISSN =	{2190-6807},
  year =	{2007},
  volume =	{7},
  editor =	{Christian Liebchen and Ravindra K. Ahuja and Juan A. Mesa},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2007/1180},
  URN =		{urn:nbn:de:0030-drops-11804},
  doi =		{10.4230/OASIcs.ATMOS.2007.1180},
  annote =	{Keywords: }
}

Collection: 7th Workshop on Algorithmic Methods and Models for Optimization of Railways (ATMOS'07)
Issue Date: 2007
Date of publication: 06.11.2007

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