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A Primal method for the solution of the groundwater quality management problem

Tucciarelli T., Karatzas Giorgos, Pinder G.F.

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URIhttp://purl.tuc.gr/dl/dias/ECA8E96C-1F1F-4AC3-9584-8D43E0DD2C8F-
Languageen-
Extent10en
TitleA Primal method for the solution of the groundwater quality management problemen
CreatorTucciarelli T.en
CreatorKaratzas Giorgosen
CreatorΚαρατζας Γιωργοςel
Creator Pinder G.F.en
DescriptionΔημοσίευση σε επιστημονικό περιοδικό el
Content SummaryA new algorithm for the solution of the groundwater quality management problem is presented. The method assumes that most of the computational effort in such problems involves evaluation of the concentrations and their derivatives with respect to the pumping rates at the control points. The methodology proposed herein is a combination of the cutting plane method and the primal method. In this approach each line search moves from a feasible point towards the solution of a subproblem with linear constraints and the same objective function as the original problem. Sensitivity analysis is used to compute the derivative of a single concentration with respect to all the pumping rates by solving only one linear system at each time step. The method has been tested with analytical convex problems and a model example. A comparison of the algorithm's performance was conducted using MINOS 5.1. For the case of a linear cost function the method shows a computational growth rate almost linearly proportional to the number of decision variables.en
Type of ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2015-10-22-
Date of Publication1998-
Subject Water resourcesen
Subject groundwater quality management problemen
Subject Nonlinear algorithms en
Subjectprimal methoden
Bibliographic CitationT. Tucciarelli, G.P. Karatzas, and G.F Pinder,"A Primal method for the solution of the groundwater quality management problem," Operations Research, vol. 46, no.4, pp. 463-473, 1998.en

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