This paper considers the equilibrium behavior of customers in a Markovian queue with setup times and partial failures, where the reactivated server must go through a period of setup time to reach the normal working state and a failure can occur at any time during the normal service. When a partial failure occurs, the server continues to serve the customers on spot at a low rate and does not admit a new arrival. Once the system becomes empty, an exponential repair time starts. Assuming that all the customers have the option of joining or balking based on a linear reward-cost structure, the authors analyze the equilibrium strategies of the customers and the average social benefits of the system in the fully observable case and the partially observable case, respectively. And on this basis, the effect of several parameters on customers’ strategic behavior is presented by some numerical examples.

中文翻译：

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具有建立时间和部分故障的Markovian队列中的均衡客户策略

本文考虑了具有建立时间和部分故障的马尔可夫队列中客户的均衡行为，其中重新激活的服务器必须经过一段时间的建立时间才能达到正常工作状态，并且在正常服务期间的任何时间都可能发生故障。当发生部分故障时，服务器将继续以低费率为客户提供现场服务，并且不允许新客户到来。系统变空后，将开始指数维修时间。假设所有客户都有基于线性奖励成本结构的加入或拒绝的选择，那么作者分别在完全可观察的情况和部分可观察的情况下分析了顾客的均衡策略和系统的平均社会收益。 。在此基础上