运筹学学报 >
2025 , Vol. 29 >Issue 1: 159 - 171
DOI: https://doi.org/10.15960/j.cnki.issn.1007-6093.2025.01.013
具有两类顾客和灾难到达的故障流体模型的均衡分析
收稿日期: 2021-09-08
网络出版日期: 2025-03-08
基金资助
河北省自然科学基金(A2019203313);河北省自然科学基金(G2024203008);河北省高等学校科学研究重点项目(ZD2019079)
版权
Equilibrium analysis of a fault fluid model with two types of customers and disaster arrival
Received date: 2021-09-08
Online published: 2025-03-08
Copyright
杨磊, 徐秀丽 . 具有两类顾客和灾难到达的故障流体模型的均衡分析[J]. 运筹学学报, 2025 , 29(1) : 159 -171 . DOI: 10.15960/j.cnki.issn.1007-6093.2025.01.013
This paper makes an economic analysis of a complete fault fluid model with two types of customers and disaster arrival. Disaster arrival will empty the system and force customers to leave. Suppose that the arriving customers decide whether to enter or not according to the "benefit-loss" utility function. The system of linear differential equations is constructed, and the individual balking threshold and the social benefit function per unit time are obtained by using the matrix analysis method at both fully observable and almost observable levels of information. Finally, the influence of parameters on social benefit is discussed through numerical examples.
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