Waiting Time Management, Its Consideration with Business Analytics, and Operating Autonomous Vehicles

我的研究团队在过去的5年里取得了长足的进步。本提案研究了(I)排队理论和等待时间管理，（II）医疗保健中的等待时间管理分析，以及（III）自动驾驶汽车（AVs）对福利的影响。* * * * * *我。***我们发展了排队和马尔可夫链分解（QMCD）方法，目前国际排队理论家使用。为了进一步推广QMCD，我们将描述它可以解决的问题，例如多服务器队列。我们将在存在优先级和放弃的情况下研究这种队列。这些众所周知的、开放的问题也适用于交通路口，并将支持第三项目。我们将继续研究对企业扩张至关重要的排队位置模型。塔吉特在加拿大的失败证明了糟糕的扩张计划的后果。我们将研究在有分类和服务水平目标的情况下排队的医疗保健相关现象（例如，参见加拿大分类和急性程度量表），以支持项目II.******II。医疗保健中的等待时间管理与分析***一个关键的医疗保健问题是急诊部门（ed）和选择性手术的等待管理。例如，不列颠哥伦比亚省10%的成人手术等待时间超过31周，见https://swt.hlth.gov.bc.ca/faces/Wooden.xhtml。我们将利用数据建立对急诊科的有效管理，计算急诊科减少等待时间的估算医疗保健效果，帮助急诊科改进其流程，并在考虑下游医疗和手术床位的情况下设计有效的算法来安排手术。******自动驾驶汽车（AVs）对生活质量的影响***自动驾驶汽车可能很快就会成为陆地交通的支柱，但关于自动驾驶汽车对福利的影响的研究很少，无法为其部署政策提供支持。我们将研究如何有效地共享自动驾驶汽车，考虑自动驾驶汽车的大小和车道分配，分析自动驾驶汽车对安全和医疗保健的影响（每年有近130万人死于事故，见http://asirt.org/initiatives/informing-road-users/road-safety-facts/road-crash-statistics），考虑对电动自动驾驶汽车征税以取代汽油税以支持基础设施，并研究如何协调自动驾驶汽车。******贡献：提出的研究计划将：培养高素质人才，提高对重要应用的控制，发展新的理论。具体而言，(1)将通过吸收我们开发的QMCD方法，在排队理论方面取得突破；(2)将改善急诊和术前患者的医疗保健服务过程及其结果；(3)将为加拿大政策制定者提供基于科学的自动驾驶车辆部署指南。

My research team has made substantial progress over the last 5 years. This proposal examines (I) queueing theory and waiting time management, (II) waiting time management with analytics in healthcare, and (III) the impact of Autonomous Vehicles (AVs) on welfare. ******I. Queueing Theory and Waiting Time Management***We developed the Queueing and Markov Chain Decomposition (QMCD) methodology that international queueing theorists currently use. To further disseminate QMCD, we will characterize the problems it can solve, such as multi-servers queues. We will study such queues in the presence of priority and abandonments. These, well-known, open, problems are also appropriate for traffic intersections and will support project III. We will continue to study queueing location models that are critical for firms' expansions. The failure of Target in Canada demonstrates the consequence of poor expansion planning. We will study healthcare related phenomena in queues in the presence of triage and service level targets (see, e.g., Canadian Triage and Acuity Scale) to support project II.******II. Waiting Time Management with Analytics in Healthcare***A critical healthcare issue is the management of waiting in Emergency Departments (EDs) and for elective surgeries. For example, the wait for 10% of adult surgeries in BC is more than 31 weeks, see https://swt.hlth.gov.bc.ca/faces/Wooden.xhtml. We will use data to establish effective management of EDs, calculate the imputed healthcare effects of wait time reduction in EDs, help EDs to improve their processes, and devise effective algorithms to schedule surgeries while considering downstream medical and surgical beds.******III. The Impact of Autonomous Vehicles (AVs) on Quality of Life***AVs may soon compose the backbone of land transportation, yet little research on AVs' impact on welfare is available to support policies on their deployment. We will study how AVs can be effectively share, consider sizes of AVs and lane allocation, analyze the safety and healthcare implications of AVs (annually, nearly 1.3 million people are killed in accidents, see http://asirt.org/initiatives/informing-road-users/road-safety-facts/road-crash-statistics), consider taxation of electric AVs in the replacement of gas tax to support infrastructure, and examine how to coordinate AVs.******Contributions: The proposed research program will: train highly qualified personnel, improve the control of important applications, and develop new theories. Specifically, (I) will lead to a breakthrough in queueing theory via the assimilation of the QMCD methodology we developed, (II) will improve the healthcare delivery process and its results for emergency and pre-surgery patients, and (III) will provide, science based, guidelines for Canadian policy makers on the deployment of AVs.