This paper is concerned with the stability of multiclass queueing networks of 2 stations and4 buffers under the longest queue first served discipline(LQFS).For this network,the service priority of a customer is determ...This paper is concerned with the stability of multiclass queueing networks of 2 stations and4 buffers under the longest queue first served discipline(LQFS).For this network,the service priority of a customer is determined by the length of the queue that customer resides in at that time.The main result includes two parts.Firstly,the corresponding fluid model is established,and then it is shown that the queueing networks under LQFS are stable whenever the traffic intensity is strictly less than one for each station.展开更多
基金supported by the National Natural Science Foundation of China under Grant No.11101050
文摘This paper is concerned with the stability of multiclass queueing networks of 2 stations and4 buffers under the longest queue first served discipline(LQFS).For this network,the service priority of a customer is determined by the length of the queue that customer resides in at that time.The main result includes two parts.Firstly,the corresponding fluid model is established,and then it is shown that the queueing networks under LQFS are stable whenever the traffic intensity is strictly less than one for each station.
