| 事件故障状态量子博弈过程的参与者收益研究 |
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| 引用本文： | 崔铁军,李莎莎.事件故障状态量子博弈过程的参与者收益研究[J].运筹与管理,2023,32(1):116-120. |
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| 作者姓名： | 崔铁军 李莎莎 |
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| 作者单位： | 1.辽宁工程技术大学 安全科学与工程学院,辽宁 葫芦岛 125105; 2.辽宁工程技术大学 工商管理学院,辽宁 葫芦岛 125105 |
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| 基金项目： | 国家自然科学基金资助项目(52004120);辽宁省教育厅科学研究经费项目(LJ2020QNL018,LJKQZ2021157);辽宁工程技术大学学科创新团队项目(LNTU20TD-31) |
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| 摘 要： | 为了解事件故障状态量子博弈过程中参与者收益随各影响因素的变化情况，提出在空间故障树(Space Fault Tree, SFT)框架内，以事件故障状态为对象，对参与者收益进行研究。事件故障状态使用量子态表示，管理者和操作者的不同行为对事件故障状态的作用使用博弈表示。考虑因素包括安全产出价值、安全收益分配系数、安全措施成本。研究了事件故障状态与量子博弈的关系；纠缠与非纠缠态下的参与者收益；参与者收益受到各因素影响的特征等。研究得到了管理者和操作者考虑纠缠和非纠缠态的收益函数。结合SFT理论方法，提出了针对收益的因素重要度、因素联合重要度、收益风险区和安全区、因素区域重要度。理论上SFT可用于量子博弈参与者收益的分析。也论述了使用因素空间理论解决该问题的可能性。
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| 关 键 词： | 安全系统工程 空间故障树 事件故障状态 量子博弈 参与者收益 |
| 收稿时间： | 2021-03-14 |
Research on the Participant Income in Quantum Game Process of Event Fault State |
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| CUI Tiejun,LI Shasha.Research on the Participant Income in Quantum Game Process of Event Fault State[J].Operations Research and Management Science,2023,32(1):116-120. |
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| Authors: | CUI Tiejun LI Shasha |
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| Affiliation: | 1. College of Safety Science and Engineering, Liaoning Technical University, Huludao 125105, China; 2. School of Business Administration, Liaoning Technical University, Huludao 125105, China |
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| Abstract: | To understand the change of participants’ income with each influencing factor in the process of quantum game of event fault state, it is proposed to study participants’ income in the framework of space fault tree (SFT). The event fault state is expressed by quantum state, and the effect of different behaviors of manager and operator on the event fault state is expressed by game. Factors considered include safety output value, safety income distribution coefficient and safety measure cost. The relationship between event fault state and quantum game, the participant income in entangled and non entangled state, and the characteristics of participants’ income affected by various factors are studied. The income functions of managers and operators considering entangled and non entangled states are obtained. Combined with SFT theory and method, this paper puts forward the factor importance, factor joint importance, benefit risk area and safety area, factor area importance. In theory, SFT can be used to analyze the participants’ income of quantum game. It also discusses the possibility of using factor space theory to solve the problem. |
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| Keywords: | safety system engineering space fault tree event fault state quantum game participant income |
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