A stabilization method for solution of a parametric multicriteria equilibrium programming problemстатья
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Дата последнего поиска статьи во внешних источниках: 28 мая 2015 г.
Авторы:
Vasil’ev F.P. ,
Artem’eva L.A. ,
Antipin A.S.
Журнал:
Moscow University Computational Mathematics and Cybernetics
Том:
33
Номер:
4
Год издания:
2009
Издательство:
Allerton Press Inc.
Местоположение издательства:
United States
Первая страница:
181
Последняя страница:
188
DOI:
10.3103/S0278641909040025
Аннотация:
A multicriteria equilibrium programming problem comprising a mathematical programming problem as a particular case, a multicriteria Pareto-point search problem, a minimization problem with equilibrium selection of the feasible set, etc., is considered. It is assumed that the initial data are known only approximately. In view of the fact that the considered problem is generally unstable with respect to the input data, a regularization method, which is a generalization of the Tikhonov stabilization method, is proposed. Conditions for matching the method parameters to the error in the input data are presented. The convergence of this method is analyzed. © 2009 Allerton Press, Inc.
Добавил в систему:
Васильев Федор Павлович