Functional Law of the Iterated Logarithm for Multi-Server Queues with Batch Arrivals and Customer Feedback

摘要：

　　A functional law of the iterated logarithm(FLIL)and its corresponding law of the iterated logarithm(LIL)are established for a multi-server queue with batch arrivals and customer feedback.The FLIL and LIL,which quantify the magnitude of asymptotic fluctuations of the stochastic processes around their mean values,are developed in three cases: underloaded,critically loaded and overloaded,for five performance measures: queue length,workload,busy time,idle time and departure process.Both FLIL and LIL are proved using an approach based on strong approximations.

关键词： Functional law of the iterated logarithm Multi-server queue Batch arrival Customer feedback Strong approximation

作者: Yongjiang Guo

作者单位: School of Science,Beijing University of Posts and Telecommunications,China,100876

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: 185-188

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）