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Robust Two-Stage Network Problems

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Operations Research Proceedings 2015

Part of the book series: Operations Research Proceedings ((ORP))

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Abstract

In this paper a class of network optimization problems is discussed. It is assumed that a partial solution can be formed in the first stage, when the arc costs are precisely known, and completed optimally in the second stage, after a true second-stage cost scenario occurs. The robust min-max criterion is used to compute an optimal solution. Several complexity results for the interval and discrete uncertainty representations are provided.

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Acknowledgements

This work was partially supported by the National Center for Science (Narodowe Centrum Nauki), grant 2013/09/B/ST6/01525.

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Authors and Affiliations

  1. Faculty of Computer Science and Management, Wrocław University of Technology, Wrocław, Poland

    Adam Kasperski

  2. Faculty of Fundamental Problems of Technology, Wrocław University of Technology, Wrocław, Poland

    Paweł Zieliński

Authors
  1. Adam Kasperski
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  2. Paweł Zieliński
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Corresponding author

Correspondence to Adam Kasperski .

Editor information

Editors and Affiliations

  1. Department of Business Administration, University of Vienna, Vienna, Austria

    Karl Franz Dörner

  2. Decision Sciences and Statistics (IDS) Department, ESSEC Business School of Paris, Cergy Pontoise Cedex, France

    Ivana Ljubic

  3. Department of Statistics and Operations Research, University of Vienna, Vienna, Austria

    Georg Pflug

  4. Operations Research and Control Systems, TU Wien, Vienna, Austria

    Gernot Tragler

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Kasperski, A., Zieliński, P. (2017). Robust Two-Stage Network Problems. In: Dörner, K., Ljubic, I., Pflug, G., Tragler, G. (eds) Operations Research Proceedings 2015. Operations Research Proceedings. Springer, Cham. https://doi.org/10.1007/978-3-319-42902-1_5

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