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Robustness to Time Discretization Errors in Water Network Optimization

In: Operations Research Proceedings 2014

Author

Listed:
  • Nicole Taheri

    (IBM Research Ireland)

  • Fabian R. Wirth

    (University of Passau)

  • Bradley J. Eck

    (IBM Research Ireland)

  • Martin Mevissen

    (IBM Research Ireland)

  • Robert N. Shorten

    (IBM Research Ireland)

Abstract

Water networkTaheri, Nicole optimization problemsWirth, Fabian R. requireEck, Bradley J. modelingMevissen, Martin the progression of flowShorten, Robert N. and pressure over time. The time discretization step for the resulting differential algebraic equation must be chosen carefully; a large time step can result in a solution that bears little relevance to the physical system, and small time steps impact a problem’s tractability. We show that a large time step can result in meaningless results and we construct an upper bound on the error in the tank pressures when using a forward Euler scheme. We provide an optimization formulation that is robust to this discretization error; robustness to model uncertainty is novel in water network optimization.

Suggested Citation

  • Nicole Taheri & Fabian R. Wirth & Bradley J. Eck & Martin Mevissen & Robert N. Shorten, 2016. "Robustness to Time Discretization Errors in Water Network Optimization," Operations Research Proceedings, in: Marco Lübbecke & Arie Koster & Peter Letmathe & Reinhard Madlener & Britta Peis & Grit Walther (ed.), Operations Research Proceedings 2014, edition 1, pages 581-588, Springer.
    • Handle: RePEc:spr:oprchp:978-3-319-28697-6_81
    DOI: 10.1007/978-3-319-28697-6_81
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