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Equilibrium and optimal balking strategies of customers in Markovian queues with multiple vacations and N-policy

机译：具有多重休假和N策略的马尔可夫排队中客户的均衡和最优拒绝策略

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摘要

This paper studies the customers' equilibrium and socially optimal balking strategies in single-server Markovian queues with multiple vacations and N-policy. That is, the server starts taking a vacation time once the system becomes empty, and reactivates in case at least N customers waiting in the queue after completing the vacation. Otherwise, he/she continues taking another vacation. We discuss the fully observable and fully unobservable queues, respectively. For each type of queues, we get both customers' equilibrium and optimal balking strategies, and make numerical comparisons between them. We observe that the customers' individual behavior in stable equilibrium always makes the system more congested than the socially optimal one. Moreover, we also make sensitivity analysis of customers' equilibrium and optimal strategies and social welfare with respect to N and the vacation parameter, respectively. It shows that customers and the social planner all prefer a classical Markovian queue without vacations and N-policy. By comparing social welfare under the two information cases, we find that whether the system information should be revealed to customers depends on the potential arrivals of demand.
机译：本文研究了具有多个休假和N策略的单服务器马尔可夫队列中客户的均衡和社会最优的拒绝策略。即，一旦系统变空，服务器就会开始休假时间，并在休假后至少有N个客户在队列中等待的情况下重新激活。否则，他/她将继续休假。我们分别讨论了完全可观察的队列和完全不可观察的队列。对于每种类型的队列，我们​​都获得了客户的均衡和最优的拒绝策略，并在它们之间进行了数值比较。我们观察到，处于稳定均衡状态的客户的个人行为总是使系统比社会最优的系统更拥挤。此外，我们还分别针对N和休假参数对客户的均衡，最优策略和社会福利进行敏感性分析。它表明，客户和社会计划者都喜欢没有休假和N政策的经典马尔可夫排队。通过比较这两种情况下的社会福利，我们发现是否应向客户显示系统信息取决于潜在的需求到达。

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  • 来源
    《Applied Mathematical Modelling》 |2016年第1期|284-301|共18页
  • 作者

    Wei Sun; Shiyong Li; Cheng-Guo E.;

  • 作者单位

    School of Economics and Management, Yanshan University, Qinhuangdao 066004, China;

    School of Economics and Management, Yanshan University, Qinhuangdao 066004, China;

    School of Economics and Management, Yanshan University, Qinhuangdao 066004, China,Liren College, Yanshan University, Qinhuangdao 066004, China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Markovian queues; Multiple vacations; N-policy; Balking strategy; Information precision;

    机译：马尔可夫排队;多次假期;N政策阻止策略;信息精度;

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