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

作　　者：杨磊 徐秀丽[1] YANG Lei;XU Xiuli(School of Science,Yanshan University,Qinhuangdao 066004,Hebei,China)

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《运筹学学报(中英文)》2025年第1期159-171,共13页Operations Research Transactions

基　　金：河北省自然科学基金(Nos.A2019203313,G2024203008);河北省高等学校科学研究重点项目(No.ZD2019079)。

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。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.

关 键 词：流体模型 两类顾客 灾难 完全故障 均衡分析 

分 类 号：O226[理学—运筹学与控制论]