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

我的研究团队在过去的5年里取得了实质性的进展。这项提案研究了(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和分析，以及(Iii)自动驾驶车辆(AVs)对福利的影响。 I.排队理论和等待时间管理 我们发展了国际排队理论家目前使用的排队和马尔可夫链分解(QMCD)方法。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。我们将研究具有优先权和放弃的这类排队。这些众所周知的公开问题也适用于交通路口，并将支持项目III。我们将继续研究对公司扩张至关重要的排队位置模型。Target在加拿大的失败证明了糟糕的扩张规划的后果。我们将研究在存在分诊和服务水平目标的情况下排队中与医疗保健相关的现象(例如，参见加拿大分诊和Acuity量表)以支持项目II。 II.医疗保健中使用Analytics进行等待时间管理 一个关键的医疗保健问题是急诊科(ED)和选择性手术的等待管理。例如，卑诗省10%的成人手术等待时间超过31周，参见https://swt.hlth.gov.bc.ca/faces/Wooden.xhtml.我们将使用数据来建立急诊室的有效管理，计算急诊室等待时间减少对医疗保健的影响，帮助急诊室改进其流程，并设计有效的算法来安排手术，同时考虑下游的内科和外科床位。 自动驾驶汽车(AVs)对生活质量的影响 AVS可能很快就会构成陆上交通的中坚力量，但关于AVS对福利的影响的研究很少，以支持其部署的政策。我们将研究如何有效地共享AVs，考虑AVs的大小和车道分配，分析AVs的安全和医疗影响(每年有近130万人死于事故)，了解http://asirt.org/initiatives/informing-road-users/road-safety-facts/road-crash-statistics)，考虑对电动AVs征税以取代燃气税来支持基础设施，并研究如何协调AVs。 贡献：拟议的研究计划将：培养高素质的人才，改善对重要应用的控制，并开发新的理论。具体地说，(I)通过吸收我们开发的QMCD方法，将导致排队理论的突破，(Ii)将改善紧急和手术前患者的医疗保健提供过程及其结果，以及(Iii)将为加拿大政策制定者提供基于科学的指导方针，以部署AVS。

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.