In this paper, the Geometry/G/1 queueing model with inter-arrival times generated by a geometric（parameter p） distribution according to a late arrival system with delayed access and service times independently distr...In this paper, the Geometry/G/1 queueing model with inter-arrival times generated by a geometric（parameter p） distribution according to a late arrival system with delayed access and service times independently distributed with distribution {gj }, j≥ 1 is studied. By a simple method （techniques of probability decomposition, renewal process theory） that is different from the techniques used by Hunter（1983）, the transient property of the queue with initial state i（i ≥ 0） is discussed. The recursion expression for u -transform of transient queue-length distribution at any time point n^＋ is obtained, and the recursion expression of the limiting queue length distribution is also obtained.展开更多
Using recursive method, this paper studies the queue size properties at any epoch n＋ in Geom/G/ I（E, SV） queueing model with feedback under LASDA （late arrival system with delayed access） setup. Some new results ...Using recursive method, this paper studies the queue size properties at any epoch n＋ in Geom/G/ I（E, SV） queueing model with feedback under LASDA （late arrival system with delayed access） setup. Some new results about the recursive expressions of queue size distribution at different epoch （n＋, n, n-） are obtained. Furthermore the important relations between stationary queue size distribution at different epochs are discovered. The results are different from the relations given in M/G/1 queueing system. The model discussed in this paper can be widely applied in many kinds of communications and computer network.展开更多
基金This work was supported by the Scientific Research Fund of Southwestern University of Finance and Economics and the Science Foundation of Sichuan Normal University.
文摘In this paper, the Geometry/G/1 queueing model with inter-arrival times generated by a geometric（parameter p） distribution according to a late arrival system with delayed access and service times independently distributed with distribution {gj }, j≥ 1 is studied. By a simple method （techniques of probability decomposition, renewal process theory） that is different from the techniques used by Hunter（1983）, the transient property of the queue with initial state i（i ≥ 0） is discussed. The recursion expression for u -transform of transient queue-length distribution at any time point n^＋ is obtained, and the recursion expression of the limiting queue length distribution is also obtained.
基金Supported by the National Natural Science Foundation of China (No.70871084)Scientific Research Fund of Southwestern University of Finance and Economicsthe Specialized Research Fund for the Doctoral Program of Higher Education of China (No.200806360001)
文摘Using recursive method, this paper studies the queue size properties at any epoch n＋ in Geom/G/ I（E, SV） queueing model with feedback under LASDA （late arrival system with delayed access） setup. Some new results about the recursive expressions of queue size distribution at different epoch （n＋, n, n-） are obtained. Furthermore the important relations between stationary queue size distribution at different epochs are discovered. The results are different from the relations given in M/G/1 queueing system. The model discussed in this paper can be widely applied in many kinds of communications and computer network.
