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0–1 Multiband Robust Optimization

In: Operations Research Proceedings 2013

Author

Listed:
  • Christina Büsing

    (RWTH Aachen University)

  • Fabio D’Andreagiovanni

    (Technical University Berlin
    Zuse-Institut Berlin (ZIB))

  • Annie Raymond

    (Zuse-Institut Berlin (ZIB))

Abstract

We provide an overview of new theoretical results that we obtained while further investigating multiband robust optimization, a new model for robust optimization that we recently proposed to tackle uncertainty in mixed-integer linear programming. This new model extends and refines the classical $$\varGamma $$ Γ -robustness model of Bertsimas and Sim and is particularly useful in the common case of arbitrary asymmetric distributions of the uncertainty. Here, we focus on uncertain 0–1 programs and we analyze their robust counterparts when the uncertainty is represented through a multiband set. Our investigations were inspired by the needs of our industrial partners in the research project ROBUKOM [2].

Suggested Citation

  • Christina Büsing & Fabio D’Andreagiovanni & Annie Raymond, 2014. "0–1 Multiband Robust Optimization," Operations Research Proceedings, in: Dennis Huisman & Ilse Louwerse & Albert P.M. Wagelmans (ed.), Operations Research Proceedings 2013, edition 127, pages 89-95, Springer.
    • Handle: RePEc:spr:oprchp:978-3-319-07001-8_13
    DOI: 10.1007/978-3-319-07001-8_13
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