Analysis of a discrete-time G/sup (X)//D/1-S queueing system with applications in packet-switching systems

P. Tran-Gia, H. Ahmadi
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引用次数: 51

Abstract

The authors present and solve a discrete-time G/sup (X)//D/1-S queuing system with a finite queue size and batch arrivals with a general batch size distribution. The motivation for this model arises from performance modeling of a statistical multiplexer with synchronous transmission of fixed-size data units in synchronous time slots. The arrival process to the multiplexer, for example, may originate from a number of independent sources with packets of variable lengths. Hence, a packet arrival corresponds to an arrival of a batch of data units. Different performance measures such as percentage of packet loss and data-unit loss are considered under two different admission policies of packets into the queue.<>
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离散时间G/sup (X)//D/1-S排队系统分析及其在分组交换系统中的应用
提出并求解了一类离散时间G/sup (X)//D/1-S排队系统,该系统具有有限的队列大小和一般的批大小分布。该模型的动机来自统计多路复用器的性能建模,该多路复用器在同步时隙中同步传输固定大小的数据单元。例如,到多路复用器的到达过程可以来自具有可变长度的数据包的多个独立源。因此,一个包的到达对应于一批数据单元的到达。在两种不同的数据包进入队列的允许策略下,考虑了不同的性能度量,如丢包百分比和数据单元丢失。
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