中文摘要：

将负顾客和反馈机制结合，研究了M／M／c工作休假排队系统，其中在休假期间，服务员并未完全停止工作，而是以相对于正常工作时较低的服务率为顾客服务，工作休假策略为空竭多重工作休假．负顾客一对一抵消正在接受服务的正顾客（若有），若系统中无正顾客时，到达的负顾客自动消失，负顾客不接受服务．完成服务的正顾客以一定概率反馈到队尾寻求再次服务．并利用拟生灭过程和矩阵几何解方法得到了系统队长的稳态分布，给出稳态下系统的一些性能指标和数值算例．

英文摘要：

An M/M/c working vacation queuing system with feedback and negative customers was investigated. During the vacation period, the service rate wasn＇ t zero. The working vacation policy was exhaustive service and multiple working vacations. Positive customers were removed by negative customers only one by one at the head of the queue （ if present）. When a negative customer arrived and the system was empty, the arrival disappeared. Negative customers didn＇ t accept service. After the service was completed, a positive customer may feedback with certain probability. Using quasi-birth-and-death （QBD） process and matrix-geometric solution, the steady-state distribution of the captain was obtained, and certain reliable indices and numerical examples were given.