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多步决策过程中有效解的平稳性
引用本文:刘立平,陈珽.多步决策过程中有效解的平稳性[J].自动化学报,1993,19(2):170-176.
作者姓名:刘立平  陈珽
作者单位:1.华中理工大学系统工程研究所,武汉
摘    要:本文首先论述多步决策过程及其性能指标,引进有关信息集、半收敛和强收敛等概念,给出多步决策的含时有效解和定态有效解及其平稳性的定义。然后探讨了集值映射序列在拓扑意义下的收敛和以Pompeiu-Hausdauff距离意义的收敛之间的关系,证明了几个对应关系定理。最后,文章系统地考察了决策过程中有效解的平稳性质。

关 键 词:多步决策过程    含时有效解    定态有效解    半平稳解    强平稳解
收稿时间:1991-4-8

On the Stationariness of Efficient Solution Sequence in the Multistep Decision Process
Liu Liping,Chen Ting.On the Stationariness of Efficient Solution Sequence in the Multistep Decision Process[J].Acta Automatica Sinica,1993,19(2):170-176.
Authors:Liu Liping  Chen Ting
Abstract:In this paper, the notions and concepts about information set, semi-cenvergence, strong convergence, etc. are introduced and the definitions of transient efficient solution as well as its stationariness in multi-step decision process are given. Then the paper studies the relation between the conergence in the sense of topology and the strong convergence in the sense of pompeiu-Hausdauff Matrix, and proves the corresponding theorems under weak conditions. Finally the paper systematically investigates the stafionariness of efficient solution sequence.
Keywords:Multi-step decision process  transient efficient solution  final efficient solution  semi-stationary solution  strong stationary solution  
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