Markovian Modeling for Queues: from Independent Severs to Correlated Server
数学学科创建110周年系列报告
报告题目(Title)：Markovian Modeling for Queues: from Independent Severs to Correlated Server
报告人(Speaker)：Yiqiang Q. Zhao（School of Mathematics and Statistics, Carleton University）
地点(Place)：后主楼1220
时间(Time)：2025年9月9日 (周二) 16:00—17:00
邀请人(Inviter)：洪文明
报告摘要
For modeling multi-server queueing systems, a standard assumption is that all servers are independent. However, demand for studying queueing systems with correlated servers was created about 60 years ago, motivated by various applications. In recent years, the importance of such studies has been significantly increased, supported by new applications of greater significance to much larger scaled industry, and the whole society. Such studies have been considered very challenging. In this talk, we present a new Markov modelling approach for queueing systems with correlated service times. We apply this new approach to a queueing system with arrivals according to a Poisson process and two positive correlated exponential servers, referred to as the $M/M_D/2$ queue. This talk is based on joint research with Suman Thapa.
主讲人简介
赵以强博士是加拿大卡尔顿大学理学院终身正教授、卡尔顿-渥太华-魁北克大学统计概率联合研究室主任。历任卡尔顿大学数学统计学院院长、卡尔顿大学理学院副院长（主管科研及研究生工作）、渥太华-卡尔顿数学统计研究院主任、加拿大统计学会概率分会会长、加拿大运筹学会温尼伯分会会长、（国际著名）菲尔兹数学科学研究所董事会成员、英国剑桥大学牛顿学院访问教授等。
赵教授主要从事应用概率和随机运筹邻域的研究，在国际一流权威期刊上发表了150多篇高水平的学术论文，其研究成果被国际同行广泛引用(谷歌引用3000多次)，并得到高度评价，在应用概率，尤其是排队论及相关领域做出了重要的贡献。赵以强教授连续30多年主持多项国家重要科研项目、现担任五种国际主流权威期刊的副主编，包括OR Letters、Queueing Systems、Stochastic Models等。
