多重工作休假的M/M/c排队系统  

M/M/c queue with multiple working vacation

作　　者：朱翼隽[1] 徐剑[1] 周宗好[1] 

机构地区：[1]江苏大学理学院,江苏镇江212013

出　　处：《江苏大学学报（自然科学版）》2012年第3期369-372,共4页Journal of Jiangsu University：Natural Science Edition

基　　金：国家自然科学基金资助项目(70571030;10571076)

摘　　要：在已研究的多服务台休假排队基础上,考虑到无线通信网络中服务台可以从节能状态唤醒到正常状态的机制,建立了带多重工作休假的M/M/c排队系统,在休假期间所有服务员并未完全停止工作而是以较慢的速率服务顾客,称之为同步工作休假,并且是同步N-策略多重工作休假规则,同时引入了另一种休假策略:休假可中止.采用拟生灭过程和矩阵几何解的方法对该模型进行了研究,得到了系统的稳态队长分布,表明了在服务台全忙条件下的条件随机分解.Based on the researched multi-server vacation queue,the M/M/c queue with multiple wor-king vacation was proposed with consideration of the server wakes from energy saving mechanism to normal state in wireless communication network.All servers work at a low rate rather than complete stop du-ring a vacation period,which means a synchronous N policy multiple working vacation.Another vacation policy of vacation interruption was introduced.Based on quasi birth and death process and matrix geometric solution method,the steady state distribution for queue length was obtained.The conditional stochastic decomposition structure of queue length was achieved under the condition that all servers were busy.

关 键 词：工作休假 N-策略 矩阵几何解 拟生灭过程 条件随机分解 

分 类 号：O226[理学—运筹学与控制论]