講座題目：Markovian Modeling for Queues: from Independent Severs to Correlated Server

主講嘉賓：Yiqiang Q. Zhao

講座主持：王金亭 教授

講座時(shí)間：2025年9月12日（星期五）09：30-10：30

講座地點(diǎn)：中央財(cái)經(jīng)大學(xué)沙河校區(qū)二教113教室

講座摘要：

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

嘉賓簡(jiǎn)介：

趙以強(qiáng)博士是加拿大卡爾頓大學(xué)理學(xué)院終身正教授、卡爾頓-渥太華-魁北克大學(xué)統(tǒng)計(jì)概率聯(lián)合研究室主任。歷任卡爾頓大學(xué)數(shù)學(xué)統(tǒng)計(jì)學(xué)院院長(zhǎng)、卡爾頓大學(xué)理學(xué)院副院長(zhǎng)（主管科研及研究生工作）、渥太華-卡爾頓數(shù)學(xué)統(tǒng)計(jì)研究院主任、加拿大統(tǒng)計(jì)學(xué)會(huì)概率分會(huì)會(huì)長(zhǎng)、加拿大運(yùn)籌學(xué)會(huì)溫尼伯分會(huì)會(huì)長(zhǎng)、（國(guó)際著名）菲爾茲數(shù)學(xué)科學(xué)研究所董事會(huì)成員、英國(guó)劍橋大學(xué)牛頓學(xué)院訪問(wèn)教授等。

趙教授主要從事應(yīng)用概率和隨機(jī)運(yùn)籌鄰域的研究，在國(guó)際一流權(quán)威期刊上發(fā)表了150多篇高水平的學(xué)術(shù)論文，其研究成果被國(guó)際同行廣泛引用(谷歌引用3000多次)，并得到高度評(píng)價(jià)，在應(yīng)用概率，尤其是排隊(duì)論及相關(guān)領(lǐng)域做出了重要的貢獻(xiàn)。趙以強(qiáng)教授連續(xù)30多年主持多項(xiàng)國(guó)家重要科研項(xiàng)目、現(xiàn)擔(dān)任五種國(guó)際主流權(quán)威期刊的副主編，包括OR Letters、Queueing Systems、Stochastic Models等。

主辦單位：管理科學(xué)與工程學(xué)院