论文标题
关于无限缓冲的离散时间批次大小的服务队列的联合分布，单个和多个假期
On the joint distribution of an infinite-buffer discrete-time batch-size-dependent service queue with single and multiple vacation
论文作者
论文摘要
由于离散时间队列在无线网络或电信系统中的广泛适用性，因此本文分析了一个和多个假期的无限 - 贝克级批量服务队列，其中客户/消息根据bernoulii流程和服务时间到达，随着批量大小而变化。该分析的最重要的焦点是在服务完成时期获得队列长度和服务器内容的完整联合分布，首先为此得出了双变量概率生成函数。我们还在任意插槽处获取联合分布。我们还为供应商的利用提供了几种边际分布和绩效指标。由于较高的传输误差，通过特定通道传输数据。由于离散的相类型分布在控制此错误方面起着值得注意的作用，因此我们包括数值示例，其中服务时间分布遵循离散相类型分布。通过某些绩效指标和总系统成本的图形表示，对批量依赖和独立服务的比较进行了比较。
Due to the widespread applicability of discrete-time queues in wireless networks or telecommunication systems, this paper analyzes an infinite-buffer batch-service queue with single and multiple vacation where customers/messages arrive according to the Bernoulii process and service time varies with the batch-size. The foremost focal point of this analysis is to get the complete joint distribution of queue length and server content at service completion epoch, for which first the bivariate probability generating function has been derived. We also acquire the joint distribution at arbitrary slot. We also provide several marginal distributions and performance measures for the utilization of the vendor. Transmission of data through a particular channel is skipped due to the high transmission error. As the discrete phase type distribution plays a noteworthy role to control this error, we include numerical example where service time distribution follows discrete phase type distribution. A comparison between batch-size dependent and independent service has been drawn through the graphical representation of some performance measures and total system cost.
