講座主題： A Tollbooth Tandem Queue with Heterogeneous Servers
主講嘉賓：何啟明
講座時間： 2017年3月1日（星期三）下午13:30—15:30
講座地點：商學院116報告廳
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商學院
2017年2月26日
主講嘉賓簡介
何啟明，加拿大滑鐵盧大學管理科學系教授，加拿大運籌學會會員，INFORMS會員，主要從事運籌學（随機過程、排隊論）及其應用方面的研究，在運籌學、管理科學領域Annals of Operations Research、Naval Research Logistics 、OMEGA: The International Journal of Management Science、Computer & Operations Research 、Performance Evaluation、Journal of Applied Probability、European Journal of Operational Research、Stochastic Models、J. of Asian-Pacific Journal of Operational Research等頂級期刊發表論文100餘篇，并擔任Annals of Operations Research、Performance Evaluation、Stochastic Models等多個期刊的編委。
講座主要内容：
We study a tandem queueing system with K servers and no waiting space in between. A customer needs service from one server but can leave the system only if all down-stream servers are not occupied. Such a system is often observed in toll collection during rush hours in transportation networks, and we shall call it a tollbooth tandem queue. We apply matrix-analytic methods to study this queueing system, and obtain explicit results for various performance measures. Using these results, we can efficiently compute the mean and variance of the queue lengths, waiting time, sojourn time, and departure delays. Numerical examples are presented to gain insights into the performance and design of the tollbooth tandem queue. In particular, it reveals that the intuitive result of arranging servers in decreasing order of service speed (i.e., arrange faster servers at downstream stations) is not always optimal for minimizing the mean queue length or mean waiting time.
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