论文标题
在马尔可夫到达过程下的单个和多个假期的州依赖批处理服务队列中
On state dependent batch service queue with single and multiple vacation under Markovian arrival process
论文作者
论文摘要
已经研究了无限缓冲批量服务的假期队列，其中批处理的服务率取决于批次的大小，而度假率取决于假期启动时期的队列大小。到达遵循马尔可夫到达过程（地图）。对于服务规则，考虑一般批量服务（GB）规则。服务时间和度假时间通常都被认为是分布的。使用双变量矢量生成函数方法和补充变量技术（SVT）获得了几种关节分布。提出了数值结果，以显示系统性能的行为以验证分析结果。
An infinite buffer batch service vacation queue has been studied where service rate of the batch is dependent on the size of the batch and vacation rate is dependent on the queue size at vacation initiation epoch. The arrivals follow the Markovian arrival process (MAP). For service rule, general bulk service (GBS) rule is considered. The service time and vacation time both are considered to be generally distributed. Several joint distributions of interest are obtained using the bivariate vector generating function method and the supplementary variable technique (SVT). Numerical results are presented to show the behavior of the system performance to validate the analytical results.
