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| URI | http://purl.tuc.gr/dl/dias/ECA8E96C-1F1F-4AC3-9584-8D43E0DD2C8F | - |
| Γλώσσα | en | - |
| Μέγεθος | 10 | en |
| Τίτλος | A Primal method for the solution of the groundwater quality management problem | en |
| Δημιουργός | Tucciarelli T. | en |
| Δημιουργός | Karatzas Giorgos | en |
| Δημιουργός | Καρατζας Γιωργος | el |
| Δημιουργός | Pinder G.F. | en |
| Περιγραφή | Δημοσίευση σε επιστημονικό περιοδικό | el |
| Περίληψη | A 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 |
| Τύπος | Peer-Reviewed Journal Publication | en |
| Τύπος | Δημοσίευση σε Περιοδικό με Κριτές | el |
| Άδεια Χρήσης | http://creativecommons.org/licenses/by/4.0/ | en |
| Ημερομηνία | 2015-10-22 | - |
| Ημερομηνία Δημοσίευσης | 1998 | - |
| Θεματική Κατηγορία | Water resources | en |
| Θεματική Κατηγορία | groundwater quality management problem | en |
| Θεματική Κατηγορία | Nonlinear algorithms | en |
| Θεματική Κατηγορία | primal method | en |
| Βιβλιογραφική Αναφορά | T. 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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