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An Approach to Model Reduction of Logistic Networks Based on Ranking

  • Bernd Scholz-Reiter
  • Fabian Wirth
  • Sergey Dashkovskiy
  • Michael KosmykovEmail author
  • Thomas Makuschewitz
  • Michael Schönlein
Conference paper

Abstract

Simulations or mathematical analysis of a real-world logistic network require a model. In this context two challenges occur for modelling: First, the model should represent the real-world logistic network in an accurate way. Second, it should foster simulations or analytical analysis to be conducted in a reasonable time. A large size is often a drawback of many models. In the case of logistic networks this drawback can be overcome by reducing the number of locations and transportation links of the graph model. In this paper we present an approach to model reduction of a logistic network based on ranking. The rank of a given location states the importance of the location for the whole network. In order to calculate the importance of a location we introduce an adaptation of the PageRank algorithm for logistic networks. The information about the rank and the structural relations between the locations are used for our approach to model reduction. Depending on the structural relation between locations we suggest three different approaches to obtain a model of lower size.

Keywords

Material Flow Model Reduction Logistic Network Reduction Rule Ranking Algorithm 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgment

B. Scholz-Reiter, F. Wirth, M. Kosmykov, T. Makuschewitz and M. Schönlein are supported by the Volkswagen Foundation (Project Nr. I/82684 “Dynamic Large-Scale Logistics Networks”). S. Dashkovskiy is partially supported by the DFG as a part of Collaborative Research Center 637 “Autonomous Cooperating Logistic Processes—A Paradigm Shift and its Limitations”.

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Copyright information

© Springer -Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Bernd Scholz-Reiter
    • 1
  • Fabian Wirth
    • 2
  • Sergey Dashkovskiy
    • 3
  • Michael Kosmykov
    • 3
    Email author
  • Thomas Makuschewitz
    • 1
  • Michael Schönlein
    • 2
  1. 1.BIBA-Bremer Institut für Produktion und Logistik GmbHUniversity of BremenBremenGermany
  2. 2.Institute of MathematicsUniversity of WürzburgWurzburgGermany
  3. 3.Centre of Industrial MathematicsUniversity of BremenBremenGermany

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