Optimal groundwater remediation design using trust region based metamodels within a genetic algorithm

Shengquan Yan, Barbara Minsker

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Computational cost is a critical issue for large-scale water resource optimization problems that often involve time-consuming simulation models. Less accurate approximation ("meta") models can be used to improve computational efficiency. We propose a novel trust-region-based metamodel framework, in which hierarchically trained metamodels are embedded into a genetic algorithm (GA) optimization framework to replace time-consuming numerical models. Numerical solutions produced from early generations of the GA, along with solutions dynamically sampled from later generations, are used to retrain the metamodels and correct the GA's converging route. A bootstrap sampling technique is used to cluster the collected numerical solutions into hierarchical training regions and then multiple metamodels are trained based on these clustered regions. The hierarchically trained metamodels are then used to approximate the numerical models. A trust region testing strategy selects the most appropriate metamodels for prediction. This allows the local regions (particularly those near the optimal solution) to be approximated by smoother and smaller metamodels with higher accuracy. This can speed up GA's convergence when the population moves into local regions. The technique was tested with artificial neural networks (ANNs) and support vector machines (SVMs) on a field-scale groundwater remediation case in a distributed network computation environment. Our preliminary results show that the adaptive meta-model GA (AMGA) with the trust region based training technique converges with higher accuracy with the same computation effort. Copyright ASCE 2005.

Original languageEnglish (US)
Title of host publicationWorld Water Congress 2005
Subtitle of host publicationImpacts of Global Climate Change - Proceedings of the 2005 World Water and Environmental Resources Congress
Pages348
Number of pages1
DOIs
StatePublished - 2005
Event2005 World Water and Environmental Resources Congress - Anchorage, AK, United States
Duration: May 15 2005May 19 2005

Publication series

NameWorld Water Congress 2005: Impacts of Global Climate Change - Proceedings of the 2005 World Water and Environmental Resources Congress

Other

Other2005 World Water and Environmental Resources Congress
Country/TerritoryUnited States
CityAnchorage, AK
Period5/15/055/19/05

ASJC Scopus subject areas

  • Water Science and Technology

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