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The Orienteering Problem under Uncertainty Stochastic Programming and Robust Optimization compared

Author

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  • Evers, L.
  • Glorie, K.M.
  • van der Ster, S.
  • Barros, A.I.
  • Monsuur, H.

Abstract

The Orienteering Problem (OP) is a generalization of the well-known traveling salesman problem and has many interesting applications in logistics, tourism and defense. To reflect real-life situations, we focus on an uncertain variant of the OP. Two main approaches that deal with optimization under uncertainty are stochastic programming and robust optimization. We will explore the potentialities and bottlenecks of these two approaches applied to the uncertain OP. We will compare the known robust approach for the uncertain OP (the robust orienteering problem) to the new stochastic programming counterpart (the two-stage orienteering problem). The application of both approaches will be explored in terms of their suitability in practice.

Suggested Citation

  • Evers, L. & Glorie, K.M. & van der Ster, S. & Barros, A.I. & Monsuur, H., 2012. "The Orienteering Problem under Uncertainty Stochastic Programming and Robust Optimization compared," Econometric Institute Research Papers EI 2012-21, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    • Handle: RePEc:ems:eureir:37193
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    References listed on IDEAS

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    Cited by:

    1. Verbeeck, C. & Vansteenwegen, P. & Aghezzaf, E.-H., 2016. "Solving the stochastic time-dependent orienteering problem with time windows," European Journal of Operational Research, Elsevier, vol. 255(3), pages 699-718.
    2. Cédric Verbeeck & Pieter Vansteenwegen & El-Houssaine Aghezzaf, 2017. "The time-dependent orienteering problem with time windows: a fast ant colony system," Annals of Operations Research, Springer, vol. 254(1), pages 481-505, July.

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    Keywords

    robust optimization; stochastic programming; uncertain orienteering problem;
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