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Enhancement of the outer approximation method for the solution of concentration‐constrained optimal‐design groundwater‐remediation problems
Author(s) -
Papadopoulou Maria P.,
Pinder George F.,
Karatzas G. P.
Publication year - 2003
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/2002wr001541
Subject(s) - mathematical optimization , maxima and minima , nonlinear system , groundwater , boundary (topology) , field (mathematics) , regular polygon , quality (philosophy) , groundwater remediation , computer science , mathematics , environmental remediation , engineering , geotechnical engineering , mathematical analysis , physics , quantum mechanics , pure mathematics , ecology , philosophy , geometry , epistemology , contamination , biology
Nonlinearity and nonconvexity are two major characteristics of groundwater quality management models. The classical solutions of such problems require enormous computational effort without ensuring a global optimum. To circumvent this problem, the outer approximation method, a global optimization technique, was introduced to solve groundwater quality management problems characterized by a nonconvex objective function with minima at the boundary of the feasible region and constraints that have convex or nonconvex behavior. In this paper, a more sophisticated and computationally efficient approach for the case of the nonconvex constraints is presented. To illustrate the efficacy and efficiency of this new approach, a hypothetical and a field‐scale problem are considered.