Title: Benefits of Deeper Analysis in Simulation-based Groundwater Optimization Problems
Authors: Aswin Kannan, Stefan Wild
Abstract: A common dilemma in many decision, design, and modeling problems involving water resources is determining the level of simulation output to be passed to an optimization solver. A pure black-box approach allows for the easiest interface between the solver and the underlying simulator(s) but often requires a large number of simulation evaluations. On the other hand, full knowledge of the underlying computations enables the use of more specialized solvers but is labor-intensive, increases a solver's overhead, and can be intractable or unrealistic. We explore trade-offs occurring between these two extremes on a groundwater problem based on the Lockwood Solvent Groundwater Plume Site. We make explicit use of knowledge about the problem's nonsmoothness and additional outputs from the underlying simulator. We propose an augmented Lagrangian framework to solve the resulting problem under three different levels of information. Our results show both the benefit of working with richer output from the underlying simulator and the trade-off between computational complexity and accuracy with this increase in information.
Keywords: Black-box optimization, simulation-based optimization, groundwater
Thanks: We are grateful to Genetha Gray for drawing our attention to the problem studied here and to L. Shawn Matott for making the code available. This work was supported by the Office of Advanced Scientific Computing Research, Office of Science, U.S. Department of Energy, under Contract DE-AC02-06CH11357.
Status: Appears in the Proceedings of the XIX International Conference on Computational Methods in Water Resources (CMWR 2012)
Link: [PDF] from CMWR 2012 Proceedings
Formerly available as Argonne Preprint ANL/MCS-P2043-0212
BibTeX:
@inproceedings{AKSW12,  
    title       = "Benefits of Deeper Analysis in Simulation-based Groundwater Optimization Problems",
    author      = "Aswin Kannan and Stefan M. Wild",
    booktitle   = "Proceedings of the XIX International Conference on Computational
                   Methods in Water Resources (CMWR 2012)",
    month       = "June",    
    year        = "2012",
    note        ="Available at \url{http://www.mcs.anl.gov/~wild/papers/2012/AKSW12.pdf}"
}
	
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