具有两类平行顾客和故障延迟修复的流体排队均衡分析

doi:10.15960/j.cnki.issn.1007-6093.2026.01.010

运筹学学报（中英文） ›› 2026, Vol. 30 ›› Issue (1): 156-170.doi: 10.15960/j.cnki.issn.1007-6093.2026.01.010

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具有两类平行顾客和故障延迟修复的流体排队均衡分析

王静, 徐秀丽†

燕山大学理学院, 河北秦皇岛 066004

收稿日期:2022-02-25 发布日期:2026-03-16
通讯作者: 徐秀丽 E-mail:xxl-ysu@163.com
基金资助:
国家自然科学基金 (No. 62171143), 河北省自然科学基金 (No. G2024203008), 河北省高等学校科学研究重点项目 (No. ZD2019079)

Equilibrium analysis of the fluid model with two types of parallel customers and delayed repair

WANG Jing, XU Xiuli†

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

Received:2022-02-25 Published:2026-03-16

摘要/Abstract

摘要： 本文对具有两类平行顾客和故障延迟修复的流体模型进行经济学分析。正常工作状态、故障延迟修复状态、故障维修状态, 这三个状态依次交替进行。当流体到达系统时, 根据获取到的信息来计算净收益, 进而决定是否进入系统。在完全可见和几乎可见的情形下, 分别讨论了流体均衡止步策略和单位时间内的社会收益最优策略。通过数值算例分析了到达率和服务率对单位时间内平均社会收益的影响。

关键词: 流体排队, 平行顾客, 故障, 延迟修复, 止步策略

Abstract: In this paper, the fluid model with two types of parallel customers and fault delay repair is economically analyzed. The normal working state, fault delay repair state and fault repair state are alternately carried out. When the fluid reaches the system, the net benefit based on the obtained information is calculated, and then whether to enter the system is determined. In the case of complete feasibility and almost visibility, the fluid equilibrium balking strategies and the social benefit optimal strategy per unit time are discussed respectively. Numerical examples are given to analyze the influence of the arrival rate and service rate on average social benefits per unit time.

Key words: fluid queue, parallel customers, breakdown, delayed repair, balking strategies

中图分类号:

O226

王静, 徐秀丽. 具有两类平行顾客和故障延迟修复的流体排队均衡分析[J]. 运筹学学报（中英文）, 2026, 30(1): 156-170.

WANG Jing, XU Xiuli. Equilibrium analysis of the fluid model with two types of parallel customers and delayed repair[J]. Operations Research Transactions, 2026, 30(1): 156-170.

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具有两类平行顾客和故障延迟修复的流体排队均衡分析

Equilibrium analysis of the fluid model with two types of parallel customers and delayed repair

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