In this paper, both Fritz John and Karush-Kuhn-Tucker necessary optimality conditions are established for a （weakly） LU-efficient solution in the considered nonsmooth multiobjective programming problem with the mult...In this paper, both Fritz John and Karush-Kuhn-Tucker necessary optimality conditions are established for a （weakly） LU-efficient solution in the considered nonsmooth multiobjective programming problem with the multiple interval-objective function. Further, the sufficient optimality conditions for a （weakly） LU-efficient solution and several duality results in Mond-Weir sense are proved under assumptions that the functions constituting the considered nondifferentiable multiobjective programming problem with the multiple interval- objective function are convex.展开更多
A new methodology is developed in this paper for determining the optimization (minimum cost) of water distribution systems based on reliability. This modelcan overcome the defect of consuming long computer time in gen...A new methodology is developed in this paper for determining the optimization (minimum cost) of water distribution systems based on reliability. This modelcan overcome the defect of consuming long computer time in general optimization based onre1iability. In this model the optimal design based on reliability of water distribution systems is conducted by multi-objective technique.展开更多
文摘In this paper, both Fritz John and Karush-Kuhn-Tucker necessary optimality conditions are established for a （weakly） LU-efficient solution in the considered nonsmooth multiobjective programming problem with the multiple interval-objective function. Further, the sufficient optimality conditions for a （weakly） LU-efficient solution and several duality results in Mond-Weir sense are proved under assumptions that the functions constituting the considered nondifferentiable multiobjective programming problem with the multiple interval- objective function are convex.
文摘A new methodology is developed in this paper for determining the optimization (minimum cost) of water distribution systems based on reliability. This modelcan overcome the defect of consuming long computer time in general optimization based onre1iability. In this model the optimal design based on reliability of water distribution systems is conducted by multi-objective technique.
