Accumulating Priority Queues & Markov Models for Health Care Wait Times & Health Recovery Modelling

本提案中将描述的工作旨在建立在申请者在上一个资金周期中与他的合著者一起在提出所谓的累积优先队列(APQ)理论方面所发挥的领导作用。APQ的重要性在于，它是第一个在紧急程度与客户在系统中的等待时间之间取得平衡的服务规程。最初是由克莱恩罗克在20世纪60年代提出的，申请者与教授一起。Taylor(墨尔本)和Ziedins将首先获得累积优先级队列的等待时间分布；这是在其单一服务器设置中。在最后一个周期中，由申请者的NSERC发现补助金资助的博士生的延期被用来获得同质多服务器S指数案例(Sharif等人(2014年))和较难异质多服务器指数案例(Li&Stanford(2016))的等待时间分布。

The work to be described in this proposal intends to build upon the leadership the applicant has taken during the last funding cycle, along with his co-authors, in advancing the theory for what have come to be known as Accumulating Priority Queues(APQ). The importance of the APQ is that it is the first service discipline to balance urgency with the waiting times of customers in the system. initially proposed by Kleinrock in the 1960s, the applicant together with Profs. Taylor (Melbourne) and Ziedins were to first to obtain waiting time distributions for the Accumulating Priority Queue; this was in its single server setting. Extensions with PhD students funded by the applicant’s NSERC Discovery Grant in the last cycle have been used to obtain the waiting time distributions for the homogeneous multi-server s exponential case (Sharif et al (2014)) and the harder heterogeneous multi-server exponential case (Li & Stanford (2016)).