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基于概率论的风险型决策及应用
引用本文:彭玉忠.基于概率论的风险型决策及应用[J].西安文理学院学报,2009,12(2):48-52.
作者姓名:彭玉忠
作者单位:江苏省运河高等师范学校数学系,江苏,邳州,221300  
摘    要:运用概率论处理运筹学中的风险型决策问题,得到一些具有实际意义的结果:运用状态概率和方案的期望值确立风险型决策的指导原则;运用树型图直观表示风险型决策方案的形成过程;以转移概率为特征值对风险型决策方案进行稳定性分析;运用Bayes概率计算公式对决策方案进行前、后验分析和调整.

关 键 词:概率论  风险型决策  依据原则  树型图  转移概率  Bayes公式

On the Application of the Probability Theory in Risk Decision-making
PENG Yu-zhong.On the Application of the Probability Theory in Risk Decision-making[J].Journal of Xi‘an University of Arts & Science:Natural Science Edition,2009,12(2):48-52.
Authors:PENG Yu-zhong
Institution:PENG Yu-zhong (Department of Mathematics,Yunhe Teachers' College, Pizhou 221300,China)
Abstract:The probability theory is an important tool in operational research. In this paper, using the probability theory to deal with the issue of risk decision-making in operational research, we obtain some practical and interesting results : establishing principles of risk decision-making by the state probability and program expectations; intuitively representing the process of risk decision-making program by treelike diagram; obtaining the stability analysis for risk decision-making program by the character of transfer probability; obtaining the pre-and post-mortem analysis and adjustment of decision-making program by Bayes formula. Since theory,methods and examples are combined, there are practical usability and good reference.
Keywords:probability  risk decision-making  based on the principle  treelike diagram  transition probability  Bayes formula
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