具有两类顾客和灾难到达的故障流体模型的均衡分析

doi:10.15960/j.cnki.issn.1007-6093.2025.01.013

运筹学学报（中英文） ›› 2025, Vol. 29 ›› Issue (1): 159-171.doi: 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

杨磊¹, 徐秀丽¹^,*()

1. 燕山大学理学院, 河北秦皇岛 066004

收稿日期:2021-09-08 出版日期:2025-03-15 发布日期:2025-03-08
通讯作者: 徐秀丽 E-mail:xxl-ysu@163.com
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)

Equilibrium analysis of a fault fluid model with two types of customers and disaster arrival

Lei YANG¹, Xiuli XU¹^,*()

1. School of Science, Yanshan University, Qinhuangdao 066004, Hebei, China

Received:2021-09-08 Online:2025-03-15 Published:2025-03-08
Contact: Xiuli XU E-mail:xxl-ysu@163.com

摘要/Abstract

摘要：

本文对两类顾客且有灾难到达的全故障流体模型进行经济学分析, 灾难到达会清空系统迫使顾客离开。假设到达的顾客根据“收益-成本”效用函数决定是否进入。构建线性微分方程组, 在完全可见和几乎可见两种信息水平下利用矩阵分析法得出个体止步阈值和单位时间内的社会收益函数, 最后通过数值算例讨论参数对于社会收益的影响。

关键词: 流体模型, 两类顾客, 灾难, 完全故障, 均衡分析

Abstract:

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.

Key words: fluid model, two types of customers, disaster, complete failure, equilibrium analysis

中图分类号:

O226

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（中英文）, 2025, 29(1): 159-171.

Lei YANG, Xiuli XU. Equilibrium analysis of a fault fluid model with two types of customers and disaster arrival[J]. Operations Research Transactions, 2025, 29(1): 159-171.

图/表 4

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具有两类顾客和灾难到达的故障流体模型的均衡分析

Equilibrium analysis of a fault fluid model with two types of customers and disaster arrival

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