Improving Operations in Services and Manufacturing Using Queuing Models

排队模型适用于为制造业和服务业的许多应用中的决策提供指导。这项建议的长远目标是加深对排队论的认识，并加强其应用。我将专注于提高我们对排队模型及其应用的理解，以解决医疗保健和制造公司的问题，在这些公司，等待和流动时间很重要。 通过为不同的客户类别提供不同的服务级别，可以改善许多企业的运营。然而，从理论上讲，求解具有多个顾客类别的排队系统是非常困难的。我最近在这个领域的研究可以应用于解决一系列这样的排队模型。 在医疗保健领域，漫长的等待时间可能不仅会导致患者不高兴，还会导致不健康的患者。鉴于在医疗服务中管理等待时间的重要性，通常使用分诊和优先排序。也就是说，急症患者应该在几分钟内就诊，而不那么紧急的患者可能要等上几个小时。我将建议在医疗保健应用中采取有效的控制政策，例如血库。这样的政策可以提高加拿大和其他国家的医疗质量，甚至可以延长患者的寿命。 有效的供应链控制对许多生产企业和零售商的竞争力至关重要。供应链的控制模式包括原材料的供应、根据预测制定的生产计划以及向零售商的产品分销和分配。我将在考虑流量时间的同时对SC的性能进行表征。这项工作有可能导致针对供应链的新的控制政策。 总体而言，我的研究计划的影响将通过以下几个方面来衡量：对方法学的贡献、顶级出版物、对高素质个人的培训、吸引更多的研究人员使用我们开发的方法学、从这些研究中产生的洞察力，以及将这些洞察力和模型应用于应用。

Queueing models are appropriate in providing guidelines on decisions in many applications in both the manufacturing and the service industries. The long term goal of this proposal is to contribute to the knowledge on queueing theory and enhance its application. I will focus on improving our understanding of queueing models and their applications to solve problems in healthcare and manufacturing companies, where waiting- and flow-times are important. The operations of many businesses can be improved by providing different service levels to different customer classes. However, from a theoretical point of view, solving queueing systems with several customers' classes is very difficult. My recent research in this area can be applied to solve a wide array of such queueing models. In healthcare, long waiting times may result not only in unhappy patients, but also unhealthy ones. Given the importance of managing waiting times in healthcare services triage and prioritization are often used. That is, emergency patients should be seen within minutes, whereas less urgent patients may wait for hours. I will suggest effective control policies in healthcare applications, such as blood banks. Such policies can improve the quality of healthcare and even increase longevity of patients in Canada and other countries. Effective supply chain (SC) control is critical to the competitiveness of many production firms and retailers. Models for the control of SCs encompass the supply of raw material, the production plan in view of forecasts, and the product distribution and allocation to retailers. I will characterize the performance of SCs while considering flow-times. This work has the potential to lead to novel controls policies for SCs. Overall, the impact of my research program would be measured by contributions to methodology, top tier publications, training for highly qualified personal, attracting additional researchers to use the methodologies we develop, the insight generated from these studies, and applying these insights and models in applications.