Multi-Server M/M/c Queue with N-Policy and d-Type Working Vacation
Introducing the N-policy and half exhaustive d-type working vacation into a multi-server M/M/c queue.If d or more than d servers are idle,we let d idled servers start a multiple synchronous working vacation,the servers on working vacation keep on serving new customers in a low rate,and the rest c-d servers work as usual.When a vacation is finished,once the customers in the system is greater or equal to N,terminating the vacation of these d servers,otherwise starting another working vacation.When a service is completed in a vacation period,what kind of service has been accepted by the customer who has left,depends on the customers in the system whether is more than c-d,if the number of customer is more than c-d,a customer who has left maybe served by normal rate or low rate service,if the number of customer isnt more than c-d,a customer who has left served by normal rate service.Using a quasi-birth and death process and matrix geometric method,we obtain the stationary distributions.Finally,the result is applied to hierarchical cellular system,and we make the numerical analysis.
Half exhaustive Partial working vacation N-policy Hierarchical cellular system
Xiuli Xu Ming Li Huining Wang
College of Science,Yanshan University,Qinhuangdao 066004,China
国际会议
河北秦皇岛
英文
36-48
2017-08-21（万方平台首次上网日期，不代表论文的发表时间）