The Stability Condition of BMAP/PH/∞ Queues

摘要：

　　This paper discusses the stability condition of the BMAP/PH/∞ queue.The main contribution of this paper is to prove that the BMAP/PH/∞ queue is stable if and only if the logarithmic moment of the batch-size distribution is finite.This result can be extended to a multiclass model.We omit its details due to the limitation of space.

关键词： Stability condition Batch Markovian arrival process (BMAP) Phase-type distribution Infinite-server queue Logarithmic moment

作者: Moeko Yajima Tuan Phung-Duc Hiroyuki Masuyama

作者单位: Tokyo Institute of Technology,Tokyo 1528552 Japan University of Tsukuba,Ibaraki 3058573 Japan Kyoto University,Kyoto 6068501 Japan

会议类型: 国际会议

会议名称: The 12th International Conference on Queueing Theory and Network Applications(第十二届排序理论与网络应用国际会议)(QTNA 2017)

会议地点: 河北秦皇岛

会议语种:英文

页码: 82-85

在线出版日期: 2017-08-21（万方平台首次上网日期，不代表论文的发表时间）