针对系统可靠性退化过程中其组成单元的责任追溯问题，基于合作博弈思想提出一种系统可靠性退化的单元责任Shapley值分配模型，并给出了模型的构建过程和求解步骤。在确定单元退化联盟的形成规则、种类和数量的基础上，求解出了每种单元退化联盟的责任分配权重；提出并证明了基于联盟组成单元结构关系的责任分配特征函数；运用仿真方法验证了模型求解结果的正确性和合理性。最后结合实例研究，说明了所提模型的可行性和有效性。
曹颖赛
,
刘思峰
,
方志耕
,
张秦
. 系统可靠性退化的单元责任Shapley值分配模型[J]. 机械工程学报, 2017
, 53(20)
: 202
-208
.
DOI: 10.3901/JME.2017.20.202
Using the cooperative game theory, the allocation of responsibility during the reliability degradation of system which has many composing components and complex structure is studied. A Shapley value allocation model of responsibility during the degradation of system reliability is constructed. The construction process and solution steps of the model are combed as well. Based on the cooperation rules between components and the types, quantities and forming probatility of cooperative alliance are obtained. Characteristic function of the responsibility allocation which is based on the structure relation of the coalition is also proposed and proved. The correctness and rationality of the model is verified based on the simulation method. Finally, a case study shows that the proposed model is feasible and effective by contrast with the traditional reliability allocation methods.
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