带有止步和中途退出的成批到达的M^x/M/1/N多重工作休假排队系统  

M^x/M/1/N Queue with Balking,Reneging and Multiple Working Vacations

作　　者：周宗好[1] 顾庆凤[2] 余君[2] 朱翼隽[3] 

机构地区：[1]黄山学院数学与统计学院,安徽黄山245041 [2]浙江农林大学理学院,浙江临安311300 [3]江苏大学理学院,江苏镇江212013

出　　处：《山西大学学报（自然科学版）》2013年第2期165-171,共7页Journal of Shanxi University(Natural Science Edition)

基　　金：安徽省高校省级自然科学研究项目(KJ2013B272);浙江省教育厅项目(Y201016405);黄山学院科研启动项目(2012xkjq008)

摘　　要：文章研究了适合通信网络的带有止步和中途退出的Mx/M/1/N多重工作休假排队系统.批量到达系统的顾客有一部分会因信道被占而离开系统,进入系统的顾客也有部分因不耐烦而离开系统,因此系统具有止步和中途退出策略.当系统内顾客全部服务完成时,服务台立即进入多重工作休假状态以节约资源提高效率.利用Mark-ov过程理论方法和矩阵几何解法,求得系统的各项排队优化指标.同时还利用数值模拟说明了系统参数对系统排队指标平均队长的影响.We consider an Mx/M/1/N queue with balking, reneging and multiple working vacations which are suitable for the communication network. A part of batch arrival customers balks because all the chan- nels are occupied,the part of the customer into the system renege if it has not been served after a period of waiting time, so we describe the system with balking, reneging strategy. The system takes multiple working vacations immediately when it becomes idle at a service completion instant in order to save energy. We ob- tain every performance optimization measures of the system by the Markov process and matrix-geometric- solution method. Finally,the effects of the parameters of the system are illustrated on the expected queue length of the system by numerical simulation.

关 键 词：稳态概率 性能指标 矩阵几何解法 多重工作休假 止步 中途退出 

分 类 号：O226[理学—运筹学与控制论]