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Enhancement of the outer approximationmethod for the solution ofconcentration-constrained optimal-designgroundwater-remediation problems

Papadopoulou Maria P., Pinder George F. , Karatzas Giorgos

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URI: http://purl.tuc.gr/dl/dias/13743BA2-73CE-4F9F-B156-EE57782A7123
Year 2003
Type of Item Peer-Reviewed Journal Publication
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Bibliographic Citation M.P. Papadopoulou, G.F. Pinder, and G.P. Karatzas,"Enhancement of the outer approximation method for the solution of concentration-constrained optimal-design groundwater-remediation problems," Water Resources Research, vol. 39, no. 7, pp.1185-1194, 2003. doi: 10.1029/2002WR001541 https://doi.org/10.1029/2002WR001541
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Summary

Nonlinearity and nonconvexity are two major characteristics of groundwater qualitymanagement models. The classical solutions of such problems require enormouscomputational effort without ensuring a global optimum. To circumvent this problem, theouter approximation method, a global optimization technique, was introduced to solvegroundwater quality management problems characterized by a nonconvex objectivefunction with minima at the boundary of the feasible region and constraints that haveconvex or nonconvex behavior. In this paper, a more sophisticated and computationallyefficient approach for the case of the nonconvex constraints is presented. To illustratethe efficacy and efficiency of this new approach, a hypothetical and a field-scale problemare considered

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