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关于MTR算法中GAP点的确定方法
引用本文:高峰,侯亚君.关于MTR算法中GAP点的确定方法[J].沈阳理工大学学报,1998,17(2):55-61.
作者姓名:高峰  侯亚君
作者单位:[1]沈阳工业学院经贸分院 [2]沈阳工业学院
摘    要:本文对多目标规划信赖域算法(MTR算法)中GAP点如何确定进行了详细讨论,给出了确定GAP点的GAP算法,并证明了该算法在有限步内可以终止到GAP点,这不但说明了多目标规划信赖域算法的可实现性,同时也从一个侧面说明了它具有较高的迭代效率,为MTR算法的可行性提供了理论根据。

关 键 词:多目标规划  信赖域算法  限制算子  最佳化

The Method to Determine GAP Point in MTR Algorithm
Gao Feng,Hou Yajun.The Method to Determine GAP Point in MTR Algorithm[J].Transactions of Shenyang Ligong University,1998,17(2):55-61.
Authors:Gao Feng  Hou Yajun
Abstract:The method to determine GAP point in multiobjective programming trust region algorithm (MTR algorithm)has been discussed in detail.It presents the GAP algorithm which is used to determine GAP point,and shows that the GAP algorithm converges and terminates to a GAP point after a finite number of iterations.All these not only explain the realizability of MTR algorithm but show indirectly its higher efficiency of iteration,which provides a theoretical basis for the feasibility of MTR algorithm.
Keywords:multiobjective programming  generalized accetable point  trust region algorithm  restriction operator  
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