论文标题
批处理依赖的服务队列的固定队列和服务器内容分布，带有马尔可夫到达过程：bmap/g^{（a，b）} _ n/1
Stationary queue and server content distribution of a batch-size-dependent service queue with batch Markovian arrival process: BMAP/G^{(a,b)}_n/1
论文作者
论文摘要
带有批处理马尔可夫到达过程（BMAP）的排队系统在无线通信领域中具有最重要的应用程序。 BMAP已用于建模视频源的叠加，并近似数据，语音和视频流量的叠加。本文分析了一个无限缓冲器通常分布的批量服务队列，并使用BMAP，常规批量服务（$ a，b $）规则和批处理依赖性服务时间。在此拟议的分析中，我们主要致力于使用补充变量技术在Defrate时期的队列和服务器内容分布一起得出双变量矢量生成功能。已经讨论了出发时期分布的完整提取的数学过程，并使用那些提取的概率，我们在任意时期实现了队列和服务器内容分布。最后，为了深入了解包含确定性和相型服务时间分布的读者，进行了数字插图。
Queueing systems with batch Markovian arrival process (BMAP) have paramount applications in the domain of wireless communication. The BMAP has been used to model the superposition of video sources and to approximate the super-position of data, voice and video traffic. This paper analyzes an infinite-buffer generally distributed batch-service queue with BMAP, general bulk service ($a,b$) rule and batch-size-dependent service time. In this proposed analysis, we mainly focus on deriving the bivariate vector generating function of queue and server content distribution together at departure epoch using supplementary variable technique. The mathematical procedure for the complete extraction of distribution at departure epoch has been discussed and using those extracted probabilities, we achieve the queue and server content distribution at arbitrary epoch. Finally, numerical illustrations have been carried out in order to make a deep insight to the readers which contains deterministic as well as phase-type service time distributions.
