有负顾客且Bernoulli反馈的M/M/c工作休假排队系统  

The M/M/c Working Vacation Queuing System with Negative Customers and Bernoulli Feedback

作　　者：刘红丹[1] 吕胜利[1] 李丹丹[1] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《郑州大学学报（理学版）》2013年第2期14-18,共5页Journal of Zhengzhou University:Natural Science Edition

基　　金：国家自然科学基金资助项目;编号71071133;河北省自然科学基金资助项目;编号G2012203136

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.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.

关 键 词：拟生灭过程 矩阵几何解 负顾客 反馈 工作休假 

分 类 号：O226[理学—运筹学与控制论]