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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
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  • 燕山大学理学院, 河北秦皇岛 066004

收稿日期: 2022-02-25

  网络出版日期: 2026-03-16

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

Received date: 2022-02-25

  Online published: 2026-03-16

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。

本文引用格式

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, 2026 , 30(1) : 156 -170 . DOI: 10.15960/j.cnki.issn.1007-6093.2026.01.010

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.

参考文献

[1] Economou A, Kanta S. Equilibrium balking strategies in the observable single-server queue with breakdowns and repairs [J]. Operations Research Letters, 2008, 36(6): 696-699.
[2] Li L, Wang J, Zhang F. Equilibrium customer strategies in markovian queues with partial breakdowns [J]. Computers & Industrial Engineering, 2013, 66(4): 751-757.
[3] Yu S, Liu Z, Wu J. Strategic behavior in the partially observable markovian queues with partial breakdowns [J]. Operations Research Letters, 2017, 45(5): 471-474.
[4] Xu B, Xu X. Equilibrium strategic behavior of customers in the M/M/1 queue with partial failures and repairs [J]. Operational Research, 2018, 18(2): 273-292.
[5] Balachandran K. Purchasing priorities in queues [J]. Management Science, 1972, 18(5): 319- 326.
[6] Xu B, Xu X, Wang X. Optimal balking strategies for high-priority customers in M/G/1 queues with 2 classes of customers [J]. Journal of Applied Mathematics and Computing, 2016, 51(1): 623-642.
[7] 张淞钛,徐秀丽.具有两类平行顾客的不完全故障排队系统均衡分析[J].系统科学与数学,2019, 39(4):637-647.
[8] Anick D, Mitra D, Sondhi M. Stochastic theory of a data-handling system with multiple sources [J]. Bell Labs Technical Journal, 1982, 61(8): 1871-1894.
[9] Xu X, Wang H. Analysis of fluid model modulated by an M/PH/1 working vacation queue [J]. Journal of Systems Science and Systems Engineering, 2019, 28(2): 132-140.
[10] Yu S, Liu Z, Wu J. Fluid queue driven by a multi-server queue with multiple vacations and vacation interruption [J]. RAIRO-Operations Research, 2017, 51(4): 931-944.
[11] 徐秀丽,宋晓凤,靖欣,等.PH/M/1排队系统驱动的流模型[J].系统科学与数学,2017,37(3): 838-845.
[12] Economou A, Manou A. Strategic behavior in an observable fluid queue with an alternating service process [J]. European Journal of Operational Research, 2016, 254(1): 148-160.
[13] Wang S, Xu X. Equilibrium strategies of the fluid queue with working vacation [J]. Operational Research, 2021, 21(2): 1211-1228.
[14] Liu J, Xu X, Wang S, et al. Equilibrium analysis of the fluid model with two types of parallel customers and breakdowns [J]. Communications in Statistics-Theory and Methods, 2021, 50(24): 5792-5805.
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