报告题目：Statistical inference for mean-field supermarket queueing models
报告人：赵以强
报告人单位：School of Mathematics and Statistics, Carleton University
时间：2024年05月28日（星期二），上午10：00—
地点：仙林校区教2-227（2）教室
主办单位：理学院、随机数学研究中心、科技处
邀请人：唐加山
报告内容：
This is an on-going research with my collaborators. In 2022, to celebrate the publication of the 100th volume, Queueing Systems published a special issue containing 100 Views on Queues. I presented my suggested research in the area of statistical inference for mean-filed queueing models.
The idea of mean-field approximations originated from works by Curie (1895) and Weiss (1907) in the area of statistical physics. Since then, it has been developed into a very important approximation tool for describing a large number of interacting particles systems (IPS) for many important applications in various fields, including queueing theory.
Applications of mean-field approximations to queueing systems go back to Dobrushin and Sukhov (1976), in which the so-called supermarket models were considered. Research on statistical inference for mean-field models started only in recent years due to difficulties as stated in Della Maestra and Hoffmann (2021): (1) the required fine probabilistic tools were still in full development; and (2) the motivation for statistical inference is not obvious.
So far, according to our best knowledge, statistical inference studies on mean-field models are all for continuous state systems, and the study on discrete-state processes, say queueing models or jump processes, has not yet started. In this talk, we demonstrate, through the supermarket model, the feasibility of this suggested research topic.
This talk is based on the joint work with Ahmed Sid-Ali, Ioannis Lambadaris, Wei Sun.
报告人简介：
赵以强博士是加拿大卡尔顿大学理学院副院长（主管研究生工作）、卡尔顿-渥太华-魁北克大学统计概率研究室联合主任，终身教授。他82年毕业于南京气象学院数学师资班，后留校任教，86年去加拿大留学，就读于萨斯卡彻温大学数学与统计系，90年获博士学位，90-92年在加拿大皇后大学加拿大通讯研究所从事博士后研究，92-2000年在加拿大威尼伯大学数学统计系先后任助理教授和副教授，2000年至今在加拿大卡尔顿大学数学与统计学院任教授。赵以强博士曾担任：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。
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大量（近150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; 被邀请作学术报告（包括重要国际会议大会报告）150多次多次获得优秀科研，教学奖（卡尔顿及温尼伯大学）;已培养150多名名硕士，博士生及博士后。