论文标题
与单个和多个度假
Modeling and analysis of a discrete-time group-arrival and batch-size-dependent service queue with single and multiple vacation
论文作者
论文摘要
离散时间排队系统在数据包交换网络，Internet协议，宽带集成服务数字网络（B-ISDN），电路切换时间分段多访问等中具有广泛的应用程序，在本文中，我们分析了一个无限的离散时间组 - 群组 - 乘坐群组，具有单个和多重度假策略，单个和多个度假策略，处理/传输/传输/服务时间与Batch Sigess and Batch Sigess Sige。队列长度和服务器内容分布的双变量概率生成函数是首先得出的，因此我们根据特征方程的根提取概率。我们还发现任意和到达前插槽处的联合分布。离散相类型分布在通过特定通道调节高传输误差方面起着值得注意的作用。鉴于此，数值插图包括遵循离散阶段类型分布的服务时间分布。
Discrete-time queueing system has widespread applications in packet switching networks, internet protocol, Broadband Integrated Services Digital Network (B-ISDN), circuit switched time-division multiple access etc. In this paper, we analyze an infinite-buffer discrete-time group-arrival queue with single and multiple vacation policy where processing/transmission/service times dynamically vary with batch-size under service. The bivariate probability generating function of queue length and server content distribution has been derived first, and from that we extract the probabilities in terms of roots of the characteristic equation. We also find the joint distribution at arbitrary and pre-arrival slot. Discrete phase type distribution plays a noteworthy role in order to regulate the high transmission error through a particular channel. In view of this, numerical illustrations include the service time distribution to follow the discrete phase type distribution.
