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Algorithm Engineering pp 245–279Cite as

Algorithm Engineering in Robust Optimization

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9220))

Abstract

Robust optimization is a young and emerging field of research having received a considerable increase of interest over the last decade. In this paper, we argue that the algorithm engineering methodology fits very well to the field of robust optimization and yields a rewarding new perspective on both the current state of research and open research directions.

To this end we go through the algorithm engineering cycle of design and analysis of concepts, development and implementation of algorithms, and theoretical and experimental evaluation. We show that many ideas of algorithm engineering have already been applied in publications on robust optimization. Most work on robust optimization is devoted to analysis of the concepts and the development of algorithms, some papers deal with the evaluation of a particular concept in case studies, and work on comparison of concepts just starts. What is still a drawback in many papers on robustness is the missing link to include the results of the experiments again in the design.

Partially supported by grant SCHO 1140/3-2 within the DFG programme Algorithm Engineering.

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Notes

  1. 1.

    http://www-03.ibm.com/software/products/en/ibmilogcpleoptistud.

  2. 2.

    http://www.fico.com/en/products/fico-xpress-optimization-suite.

  3. 3.

    http://www.gurobi.com/.

  4. 4.

    http://www.mathworks.com/products/matlab/.

  5. 5.

    http://www.math.nus.edu.sg/~mattohkc/sdpt3.html.

  6. 6.

    Number of items for finite, strict knapsack is estimated with the pegging test from [122].

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Authors and Affiliations

  1. Management School, Lancaster University, Lancaster, LA1 4YX, United Kingdom

    Marc Goerigk

  2. Institute of Numerical and Applied Mathematics, University of Göttingen, Lotzestraße 16-18, 37083, Göttingen, Germany

    Anita Schöbel

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  1. Marc Goerigk
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  2. Anita Schöbel
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Correspondence to Marc Goerigk .

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  1. Kiel University , Kiel, Germany

    Lasse Kliemann

  2. Karlsruhe Institute of Technology , Karlsruhe, Germany

    Peter Sanders

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Goerigk, M., Schöbel, A. (2016). Algorithm Engineering in Robust Optimization. In: Kliemann, L., Sanders, P. (eds) Algorithm Engineering. Lecture Notes in Computer Science(), vol 9220. Springer, Cham. https://doi.org/10.1007/978-3-319-49487-6_8

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