Stability of a retrial queueing network with different classes of customers and restricted resource pooling
We consider a retrial queueing network with diffrent classes of customers and several servers. Each customer class is associated with a set of servers who can serve the class of customers. Customers of each class exogenously arrive according to a Poisson process. If an exogenously arriving customer finds upon his arrival any idle server who can serve the customer class,then he begins to receive a service by one of the available servers. Otherwise he joins the retrial group,and then tries his luck again after exponential time,the mean of which is determined by his customer class. Service times of each server are assumed to have general distribution. The retrial queueing network can be represented by a Markov process,with the number of customers of each class,and the customer class and the remaining service time of each busy server. Using the fluid limit technique,we find a necessary and suffient condition for the positive Harris recurrence of the representing Markov process. This work is the first that applies the fluid limit technique to a model with retrial phenomenon.
retrial queue positive Harris recurrence stability,fluid limit resource pooling
Bara Kim
Department of Mathematics Korea University ,Anam-dong,Sungbuk-ku Seoul,136-701,Korea
国际会议
北京
英文
78-84
2010-07-24（万方平台首次上网日期，不代表论文的发表时间）