Robustness to Time Discretization Errors in Water Network Optimization

Nicole Taheri (), Fabian R. Wirth (), Bradley J. Eck (), Martin Mevissen () and Robert N. Shorten ()
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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

A chapter in Operations Research Proceedings 2014, 2016, pp 581-588 from Springer

Abstract: 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.

Keywords: Optimization; Water networks; Time discretization (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-3-319-28697-6_81

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