Optimal balking strategies in the M/M/1 queue with multi-phase failures and repairs

被引:0
|
作者
Senlin Yu
Zaiming Liu
Jinbiao Wu
机构
[1] Central South University,School of Mathematics and Statistics
来源
Operational Research | 2019年 / 19卷
关键词
Queueing games; Random environment; Failures; Repairs;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we study the equilibrium strategies in the M/M/1 queue with partial and total failures. The state of the server is modulated by a random environment. Based on different precision levels of system information, we study separately the threshold strategies for the fully observable case and mixed strategies for the fully unobservable case. In addition, we illustrate the effect of several parameters on equilibrium behavior via numerical examples. Some possible generalizations are also discussed.
引用
收藏
页码:435 / 447
页数:12
相关论文
共 50 条
  • [1] Optimal balking strategies in the M/M/1 queue with multi-phase failures and repairs
    Yu, Senlin
    Liu, Zaiming
    Wu, Jinbiao
    OPERATIONAL RESEARCH, 2019, 19 (02) : 435 - 447
  • [2] Equilibrium strategies of the unobservable M/M/1 queue with balking and delayed repairs
    Yu, Senlin
    Liu, Zaiming
    Wu, Jinbiao
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 290 : 56 - 65
  • [3] TRANSIENT AND STEADY STATE ANALYSIS OF AN M/M/1 QUEUE WITH BALKING, CATASTROPHES, SERVER FAILURES AND REPAIRS
    Tarabia, Ahmed M. K.
    JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2011, 7 (04) : 811 - 823
  • [4] Customers' Equilibrium Balking Strategies in an M/M/1 Queue with Variable Service Rate
    Li, Le
    Wang, Jinting
    Zhang, Feng
    PROCEEDINGS OF 2ND CONFERENCE ON LOGISTICS, INFORMATICS AND SERVICE SCIENCE (LISS 2012), VOLS 1 AND 2, 2013,
  • [5] Analysis of Vacation Fluid M/M/1 Queue in Multi-Phase Random Environment
    Ammar, Sherif I.
    Alharbi, Yousef F.
    Zhao, Yiqiang Q.
    MATHEMATICS, 2023, 11 (21)
  • [6] Transient Analysis of an M/M/1 Queue with Reneging, Catastrophes, Server Failures and Repairs
    M. I. G. Suranga Sampath
    Jicheng Liu
    Bulletin of the Iranian Mathematical Society, 2018, 44 : 585 - 603
  • [7] Transient Analysis of an M/M/1 Queue with Reneging, Catastrophes, Server Failures and Repairs
    Sampath, M. I. G. Suranga
    Liu, Jicheng
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2018, 44 (03) : 585 - 603
  • [8] Equilibrium strategic behavior of customers in the M/M/1 queue with partial failures and repairs
    Xu, Biao
    Xu, Xiuli
    OPERATIONAL RESEARCH, 2018, 18 (02) : 273 - 292
  • [9] Equilibrium strategic behavior of customers in the M/M/1 queue with partial failures and repairs
    Biao Xu
    Xiuli Xu
    Operational Research, 2018, 18 : 273 - 292
  • [10] The busy period of an M/M/1 queue with balking and reneging
    Ammar, Sherif I.
    Helan, Mahmoud M.
    Al Amri, Faizah T.
    APPLIED MATHEMATICAL MODELLING, 2013, 37 (22) : 9223 - 9229