This paper considers the Geom/G/1 queueing model with feedback according to a latearrival system with delayed access (LASDA).Using recursive method,this paper studies the transientproperty of the queue size from the i...This paper considers the Geom/G/1 queueing model with feedback according to a latearrival system with delayed access (LASDA).Using recursive method,this paper studies the transientproperty of the queue size from the initial state N(0^+)=i.Some new results about the recursiveexpression of the transient queue size distribution at any epoch n^+ and the recursive formulae of theequilibrium distribution are obtained.Furthermore,the recursive formulae of the equilibrium queuesize distribution at epoch n,and n are obtained,too.The important relations between stationaryqueue size distributions at different epochs are discovered (being different from the relations given inM/G/1 queueing system).The model discussed in this paper can be widely applied in all kinds ofcommunications and computer network.展开更多
基金supported by the National Natural Science Foundation of China under Grant No.70871084Specialized Research Fund for the Doctoral Program of Higher Education of China under Grant No. 200806360001the Scientific Research Fund of Sichuan Provincial Education Department under Grant No.10ZA136
基金supported by the National Natural Science Foundation of China under Grant No. 70871084the Specialized Research Fund for the Doctoral Program of Higher Education of China under Grant No 200806360001the Scientific Research Fund of Southwestern University of Finance and Economics
文摘This paper considers the Geom/G/1 queueing model with feedback according to a latearrival system with delayed access (LASDA).Using recursive method,this paper studies the transientproperty of the queue size from the initial state N(0^+)=i.Some new results about the recursiveexpression of the transient queue size distribution at any epoch n^+ and the recursive formulae of theequilibrium distribution are obtained.Furthermore,the recursive formulae of the equilibrium queuesize distribution at epoch n,and n are obtained,too.The important relations between stationaryqueue size distributions at different epochs are discovered (being different from the relations given inM/G/1 queueing system).The model discussed in this paper can be widely applied in all kinds ofcommunications and computer network.
