Multiobjective management of mining under water hazard by game theory |
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Authors: | Ferenc Szidarovszky Lucien Duckstein Istvan Bogardi |
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Affiliation: | 1. Department of Systems & Industrial Engineering University of Arizona, Tucson AZ 85721, U.S.A.;2. Department of Hydrology & Water Resources, University of Arizona, Tucson, AZ 85721, U.S.A. |
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Abstract: | The management of an aquifer is studied under the assumption that the solution of the multiobjective programming model describing the management problem should satisfy a certain set of axioms. It is shown that a certain class of multiobjective problems may be solved by a game-theoretical concept leading to a single objective quasiconvex programming problem. The method is generalization of Nash's cooperative game theoretical model, and may lean on Zeuther's bargaining process. The methodology is applied to the Transdanubian Karstic region in Hungary where three objectives are present: mining costs, water supply and environmental protection. Results are compared with the solution previously obtained by compromise programming with an l1-norm. It is found that results obtained by the two methods are comparable. |
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