中文摘要：

考虑具有常重试率和Bernoulli休假的M／M／1重试排队，到达系统的顾客仅知道服务台的状态．如果在顾客到达时刻服务台正忙，则顾客或以概率q加入到重试组中，或以概率1-q止步．在每次服务结束后，服务台或者以概率p开始一次休假，或者以概率1-p保持空闲状态．基于收入-支出结构，得到了个体最优进队策略，社会净收益最优进队策略和利润最优进队策略．对于这些最优进队概率的大小顺序我们给出了详细的证明．最后，给出了数值例子来阐述进队策略的影响．

英文摘要：

This paper considers an M/M/1 retrial queue with a constant retrial rate and Bernoulli vacation, in which arriving customers are only informed about the server＇s state. If the server is busy upon the arrival instant, a customer either joins the retrial orbit with probability q or balks with complementary probability 1 - q. After each service completion, the server either begins a single vacation with probability p or remains idle with probability 1 - p. In this paper, the individual optimal joining strategy, the joining strategy for the social net welfare and the joining strategy for the optimal profit are derived under a natural reward-cost structure. We give a rigorous proof regarding the ordering of the optimal joining probabilities. Finally, some numerical examples are given to illustrate the effect of on the joining strategies.