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Optimizing operating room scheduling through multi-level learning and column generation: a novel hybrid approach. 基于多层次学习和列生成的手术室调度优化:一种新颖的混合方法。
IF 2 3区 医学 Q2 HEALTH POLICY & SERVICES Pub Date : 2025-12-01 Epub Date: 2025-09-27 DOI: 10.1007/s10729-025-09723-9
Rong Zhao, Yaqin Quan, Guangrui Fan

Operating room (OR) scheduling is a critical challenge in healthcare, directly impacting patient outcomes and hospital efficiency. Traditional methods often struggle with the complex, multi-level constraints and uncertainties inherent in OR scheduling, such as resource limitations, variable surgery durations, and emergency cases. This study aims to develop a novel hybrid framework that optimizes OR scheduling by integrating multi-level optimization with reinforcement learning and column generation techniques. The proposed framework decomposes the OR scheduling problem into strategic, tactical, and operational levels, enabling focused optimization at each layer while ensuring cohesive decision-making across the hierarchy. Reinforcement learning guides the column generation process, learning policies that identify promising scheduling options to enhance solution quality and computational efficiency. Robust uncertainty handling mechanisms are incorporated to manage variability in surgery durations and resource availability without compromising tractability. Experiments were conducted using three years of real-world data from Shanxi Provincial People's Hospital, complemented by large-scale synthetic datasets to evaluate scalability and robustness of the framework. The framework demonstrates meaningful improvements in key operational metrics compared to traditional approaches. Analysis of three years of implementation shows consistent enhancements in operational efficiency, including a reduction in average patient waiting time by 15.8% (from 10.1 to 8.5 days), an increase in OR utilization by 5.4 percentage points (from 73.8% to 79.2%), and improved workload balance among surgeons. The framework maintains robust performance under uncertainty, achieving a 92.5% feasibility rate and reducing schedule disruptions by 26.2%. The proposed hybrid framework offers a practical and scalable solution for optimizing OR scheduling, demonstrating improvements in healthcare delivery and operational performance in real hospital environments. By effectively balancing multiple operational objectives while handling practical constraints and uncertainties, the framework provides a viable approach for healthcare systems seeking incremental yet sustainable improvements in efficiency and patient care.

手术室(OR)调度是医疗保健领域的一项关键挑战,直接影响患者的治疗结果和医院效率。传统的方法往往与复杂的、多层次的约束和不确定性在手术室调度中固有的斗争,如资源限制、可变的手术持续时间和紧急情况。本研究旨在开发一种新的混合框架,通过将多级优化与强化学习和列生成技术相结合来优化OR调度。提出的框架将OR调度问题分解为战略、战术和操作级别,在确保跨层次结构的内聚决策的同时,在每一层实现重点优化。强化学习指导列生成过程,学习识别有前途的调度选项的策略,以提高解决方案的质量和计算效率。采用稳健的不确定性处理机制来管理手术持续时间和资源可用性的可变性,而不影响可追溯性。实验使用了山西省人民医院三年的真实数据,并辅以大规模合成数据集,以评估该框架的可扩展性和鲁棒性。与传统方法相比,该框架展示了在关键操作指标方面有意义的改进。对三年实施情况的分析显示,手术效率持续提高,包括患者平均等待时间减少了15.8%(从10.1天减少到8.5天),手术室利用率提高了5.4个百分点(从73.8%增加到79.2%),并改善了外科医生之间的工作量平衡。该框架在不确定的情况下保持了强大的性能,实现了92.5%的可行性,并减少了26.2%的进度中断。所提出的混合框架为优化手术室调度提供了实用且可扩展的解决方案,展示了在真实医院环境中医疗保健交付和运营性能的改进。通过在处理实际限制和不确定性的同时有效地平衡多个操作目标,该框架为医疗保健系统寻求效率和患者护理方面的增量但可持续的改进提供了可行的方法。
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引用次数: 0
Surgery scheduling problem considering the affinity and preferences in the surgical team. 考虑手术团队的亲和力和偏好的手术安排问题。
IF 2 3区 医学 Q2 HEALTH POLICY & SERVICES Pub Date : 2025-12-01 Epub Date: 2025-11-04 DOI: 10.1007/s10729-025-09737-3
Francisco Ríos-Fierro, Guillermo Latorre-Núñez, Carlos Contreras-Bolton

Surgery scheduling is crucial in healthcare management, particularly in hospitals and clinics. This study tackles the elective surgery scheduling problem by integrating affinity and preferences among the surgical team's members. Although these concepts can enhance coordination and improve team performance, they remain understudied in the literature. Affinity is usually quantified as a numerical representation of compatibility between team members, and preferences denote a surgeon's interest in specific surgical resources. Existing approaches have not integrated simultaneously affinity and preferences. In addition, they use mathematical programming models that often incorporate affinity and preferences as constraints or additional objective function terms, adopting a multi-objective approach. The former can significantly reduce the number of surgeries performed, while the latter increases computational complexity. To overcome these limitations, we propose mathematical programming models with a score-based penalty approach that integrates affinity and preferences while maximizing the priority of scheduled surgeries. Our approach is evaluated against two alternative models: a baseline model without affinity or preferences and a constraint-based model that follows conventional literature, incorporating these concepts as hard constraints. We implement these models using integer linear programming and constraint programming. The results show the feasibility of considering affinity and preferences among surgical team members. This can enhance the surgical team's quality with negligible impact on the number of surgeries performed. Therefore, our approach can generate stronger human relationships among surgical team members, which could contribute positively to patient surgical outcomes, as demonstrated by some studies in the literature.

手术安排在医疗保健管理中是至关重要的,特别是在医院和诊所。本研究通过整合外科团队成员之间的亲和力和偏好来解决选择性手术调度问题。虽然这些概念可以加强协调和提高团队绩效,但它们在文献中仍未得到充分研究。亲和力通常被量化为团队成员之间兼容性的数字表示,而偏好表示外科医生对特定手术资源的兴趣。现有的方法没有同时整合亲和力和偏好。此外,他们使用数学规划模型,通常将亲和力和偏好作为约束或附加目标函数项,采用多目标方法。前者可以显著减少手术次数,而后者则增加了计算复杂度。为了克服这些限制,我们提出了基于分数的惩罚方法的数学规划模型,该模型集成了亲和力和偏好,同时最大限度地提高了计划手术的优先级。我们的方法是根据两个可选模型进行评估的:一个没有亲和力或偏好的基线模型和一个遵循传统文献的基于约束的模型,将这些概念作为硬约束纳入其中。我们使用整数线性规划和约束规划来实现这些模型。结果表明,考虑手术团队成员之间的亲和力和偏好是可行的。这可以提高手术团队的质量,而对手术数量的影响可以忽略不计。因此,我们的方法可以在手术团队成员之间建立更强的人际关系,这可以对患者的手术结果做出积极的贡献,正如文献中的一些研究所证明的那样。
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引用次数: 0
A decision support tool for the location, districting and dimensioning of Community Health Houses. 社区卫生院选址、分区和规划的决策支持工具。
IF 2 3区 医学 Q2 HEALTH POLICY & SERVICES Pub Date : 2025-12-01 Epub Date: 2025-11-10 DOI: 10.1007/s10729-025-09729-3
Martina Doneda, Ettore Lanzarone, Carlotta Franchi, Sara Mandelli, Angelo Barbato, Alessandro Nobili, Giuliana Carello

Community Health Houses (CHHs) are new entities in the Italian National Health Service that have been envisaged to provide proximity care to an increasingly aging population, and bear some similarities to other facilities in countries that have historically focused on public healthcare. This work proposes an integrated decision support system (DSS) for their planning, envisioned during the aftermath of the COVID-19 pandemic, which highlighted the frailty of the existing system. The DSS is based on an integer linear programming (ILP) model that simultaneously makes location, districting and dimensioning decisions for CHH, and accounts for accessibility and equity requirements. Based on Italian law yet designed in a parametrized way that makes it adaptable to several contexts, the DSS is able to design a hub and spoke network, which considers the provision of both mandatory and additional services. The sizes of the former are determined by directly taking into account the population served, while those of the latter are determined according to the specific demand for these services, accounting for diverse needs arising from different territories. The DSS also uses territorial units that refer to recognizable administrative areas. This ensures that the districting is easily recognized and accepted by the population. In addition to the ILP formulation, three decomposition-based matheuristics are proposed, which allow suitable solutions to be found within a reasonable time also for large and heterogeneous instances, while maintaining the flexibility of the ILP formulation. Computational results on synthetic realistic instances validated the DSS, while its application to a real-life case in a Northern Italian province demonstrated the effectiveness of the heuristic approaches and provided a proof of concept for its practical application.

社区卫生院(CHHs)是意大利国家卫生服务机构的新实体,旨在为日益老龄化的人口提供近距离护理,与历史上专注于公共卫生保健的国家的其他设施有一些相似之处。这项工作为他们的规划提出了一个综合决策支持系统(DSS),这是在2019冠状病毒病大流行之后设想的,这凸显了现有系统的脆弱性。DSS基于整数线性规划(ILP)模型,该模型同时为CHH做出位置、分区和尺寸决策,并考虑可达性和公平性要求。DSS以意大利法律为基础,以参数化的方式设计,使其适应多种情况,能够设计一个枢纽和辐条网络,考虑提供强制性和额外的服务。前者的规模是直接考虑到所服务的人口而决定的,而后者的规模是根据对这些服务的具体需求而决定的,考虑到不同地区产生的不同需求。DSS还使用领土单位来指代可识别的行政区域。这确保了分区容易被人们认可和接受。除了ILP公式外,还提出了三种基于分解的数学方法,这使得在合理的时间内找到适合的解决方案,也适用于大型和异构实例,同时保持ILP公式的灵活性。综合现实实例的计算结果验证了DSS,而其在意大利北部省份的实际案例中的应用表明了启发式方法的有效性,并为其实际应用提供了概念证明。
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引用次数: 0
Joint decisions for hospital admissions and horizontal medical resource transfer against capacity shortage in the early stage of pandemics. 大流行早期应对能力短缺的住院和横向医疗资源转移联合决策。
IF 2 3区 医学 Q2 HEALTH POLICY & SERVICES Pub Date : 2025-12-01 Epub Date: 2025-11-28 DOI: 10.1007/s10729-025-09735-5
Huiping Sun, Jianghua Zhang

Pandemics pose significant challenges, particularly in the early stages when vertical resupply chains are overwhelmed. To mitigate the impact of medical resource shortages, we develop a multi-period optimization model incorporating lateral transshipment and hospital admission to minimize the total number of infected individuals by strategically allocating regional resources in the face of complex dynamics, including endogenous hospital admission rates and pandemic spread. To capture the temporal-spatial nature of pandemics, we extend the Susceptible-Exposed-Infected-Hospitalized-Recovered (SEIHR) model by accounting for population migration. Additionally, we derive threshold-type structures for optimal resource transfers, considering factors such as pandemic dynamics, patient length of stay, and budget constraints. We also demonstrate the effectiveness of our models via numerical experiments. Our research identifies three main findings: 1) Pooling medical resources effectively reduces infections and alleviates shortages in outbreak areas. This strategy is particularly beneficial during pandemics due to self-reinforcing infection dynamics and surging demand. 2) Regions adjacent to the epicenter should exercise caution in contributing resources to avoid exacerbating infections through population migration. 3) While effective in localized outbreaks, widespread resource scarcity can limit the viability of pooling strategies, potentially leading to increased infections and fluctuating resource levels in transferring regions.

流行病带来了重大挑战,特别是在垂直再供应链不堪重负的早期阶段。为了减轻医疗资源短缺的影响,我们开发了一个包含横向转运和住院的多时期优化模型,以面对复杂的动态,包括内生住院率和流行病传播,通过战略性地分配区域资源,使感染个体总数最小化。为了捕捉流行病的时空性质,我们通过考虑人口迁移,扩展了易感-暴露-感染-住院-康复(SEIHR)模型。此外,考虑到流行病动态、患者住院时间和预算限制等因素,我们推导出最佳资源转移的阈值型结构。通过数值实验验证了模型的有效性。我们的研究确定了三个主要发现:1)集中医疗资源有效地减少了感染,缓解了疫情地区的短缺。由于自我强化的感染动态和激增的需求,这一战略在大流行期间特别有益。2)邻近地区应谨慎投入资源,避免因人口迁移而加剧感染。3)虽然在局部疫情中有效,但广泛的资源短缺可能限制汇集战略的可行性,可能导致感染增加和转移地区资源水平波动。
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引用次数: 0
County-level mobility and sociopolitical context in the spread of COVID-19 during spring 2020. 2020年春季2019冠状病毒病传播的县级流动性和社会政治背景。
IF 2 3区 医学 Q2 HEALTH POLICY & SERVICES Pub Date : 2025-12-01 Epub Date: 2025-10-04 DOI: 10.1007/s10729-025-09722-w
Chris Parker, Jorge Mejia

The implementation of social distancing policies is key to reduce the spread of the recent COVID-19 pandemic and future pandemics. However, their effectiveness ultimately depends on human behavior. For example, in the United States, compliance with social distancing policies widely varied in Spring 2020. What factors were associated with the observed variability in behavioral compliance with the policies? Utilizing detailed county-level data, we estimate the association between human mobility and the growth rate of COVID-19 cases across approximately 3,100 U.S. counties from January 1, 2020 to June 20, 2020. In addition, using data from U.S. presidential elections we measured how the association between mobility and COVID-19 growth rate varied as a function of county voting pattern. Our results generalize previous reports in finding a significant association between political leaning and the COVID-19 growth rate. These results highlight how it might be beneficial to consider political orientation when building models of the multivariate relationships between the spread of pandemics and public health policies intended to curb the expansion of the pandemic.

实施社会距离政策是减少最近的COVID-19大流行和未来大流行传播的关键。然而,它们的有效性最终取决于人类的行为。例如,在美国,2020年春季对社交距离政策的遵守情况各不相同。哪些因素与观察到的行为依从性的变异性有关?利用详细的县级数据,我们估计了2020年1月1日至2020年6月20日期间美国约3100个县的人员流动性与COVID-19病例增长率之间的关系。此外,利用美国总统选举的数据,我们衡量了流动性与COVID-19增长率之间的关系如何随着县投票模式的变化而变化。我们的研究结果概括了之前的报告,发现政治倾向与COVID-19增长率之间存在显著关联。这些结果突出表明,在建立流行病传播与旨在遏制流行病扩大的公共卫生政策之间的多元关系模型时,考虑政治取向可能是有益的。
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引用次数: 0
Can past variants of SARS-CoV-2 predict the impact of future variants? Machine learning for early warning of US counties at risk. 过去的SARS-CoV-2变体能否预测未来变体的影响?机器学习对处于危险中的美国县进行早期预警。
IF 2 3区 医学 Q2 HEALTH POLICY & SERVICES Pub Date : 2025-12-01 Epub Date: 2025-10-13 DOI: 10.1007/s10729-025-09728-4
Kevin B Smith, Siqian Shen, Brian T Denton

In this paper, we determine whether machine learning (ML) models created using data from the novel SARS-CoV-2 Alpha variant can prospectively predict county-level incidence of emerging variants, validated using data of the Omicron variant. We first select publicly-available sociodemographic, economic, and health-related characteristics of 3140 United States (US) counties at the time of the confirmed early US outbreak of the novel SARS-CoV-2 virus in March 2020 for analysis. Our primary result is the set of US counties that experienced the upper quartile of population-adjusted Omicron variant incidence at certain period (e.g., 100 days) after Omicron variant's appearance in the US. We show more predictive results by incorporating additional data and features (e.g., human mobility) that can be acquired dynamically after the outbreak, to improve prediction accuracy at the cost of additional waiting time and effort. Towards the goal of decision support, we aim to prospectively evaluate our models' ability to classify and rank US counties at risk. We measure their classification performance using the area under receiver operating characteristic curve score with 95% confidence intervals. We further calculate the proportion of the top counties by Omicron incidence that our models correctly identify, and compare their score with those of individual county-level features that can serve as a heuristic predictive performance baseline. Our results show that ML algorithms predict county-level Omicron variant incidence with better performance than natural heuristics that decision makers might otherwise use. More generally, historical data from the first wave of a novel pandemic can help predict the incidence of future variants and strengthen state or federal pandemic response interventions. HIGHLIGHTS: Data-driven predictive models that capture patterns from early viral variants can support policymaking related to emerging viral variants. County-level sociodemographic, health, and economic characteristics are predictive of early COVID-19 outcomes in the United States (US). Machine learning models trained on early US county-level COVID-19 outcomes are additionally predictive of county-level SARS-CoV-2 Omicron variant outcomes. County-level machine learning models can be used as a critical policymaking tool given the inevitability of novel emerging viruses.

在本文中,我们确定使用新型SARS-CoV-2 Alpha变体数据创建的机器学习(ML)模型是否可以前瞻性地预测新变体的县级发病率,并使用Omicron变体数据进行验证。我们首先选择了美国3140个县在2020年3月确诊的新型SARS-CoV-2病毒早期爆发时可公开获得的社会人口统计学、经济和健康相关特征进行分析。我们的主要结果是在美国出现奥米克隆变异后的某一时期(例如100天),经历了人口调整后的奥米克隆变异发病率的上四分位数的美国县。我们通过合并在疫情爆发后可以动态获得的额外数据和特征(例如,人员流动性)来显示更多的预测结果,以额外的等待时间和精力为代价提高预测准确性。为了实现决策支持的目标,我们的目标是前瞻性地评估我们的模型对处于风险中的美国县进行分类和排名的能力。我们用95%置信区间的接收者工作特征曲线得分下的面积来衡量他们的分类表现。我们进一步计算了我们的模型正确识别的Omicron发生率最高的县的比例,并将其得分与单个县级特征的得分进行比较,这些特征可以作为启发式预测性能基线。我们的研究结果表明,ML算法预测县级Omicron变异发生率比决策者可能使用的自然启发式算法具有更好的性能。更一般地说,来自新型大流行第一波的历史数据可以帮助预测未来变体的发病率,并加强州或联邦大流行应对干预措施。重点:数据驱动的预测模型捕获早期病毒变异的模式,可以支持与新出现的病毒变异相关的政策制定。在美国,县级社会人口、健康和经济特征可预测COVID-19的早期结局。根据美国早期县级COVID-19结果训练的机器学习模型还可以预测县级SARS-CoV-2 Omicron变体结果。鉴于新型病毒的不可避免性,县级机器学习模型可以用作关键的决策工具。
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引用次数: 0
A descriptive investigation of the impact of statewide distribution policies and consumer vulnerabilities on COVID-19 vaccination in the united States. 对美国全州分配政策和消费者脆弱性对COVID-19疫苗接种影响的描述性调查。
IF 2 3区 医学 Q2 HEALTH POLICY & SERVICES Pub Date : 2025-12-01 Epub Date: 2025-10-04 DOI: 10.1007/s10729-025-09727-5
Kathleen Iacocca, Beth Vallen, Alicia Strandberg, Laura Meinzen-Dick

This research leverages data from various disparate sources to examine how state-level policy distribution decisions and local, county-level population vulnerability factors likely to hinder vaccination influenced COVID-19 vaccination efforts across the United States. Unlike other nations that coordinated their responses at a national level, this study uses U.S. states and counties as individual units of analysis. This approach allows for an assessment of which policies and population attributes were most impactful in driving vaccination and ensuring efficient and equitable distribution among citizens. By focusing on the diverse strategies employed by different states in terms of (1) defining the entity responsible for distribution policy, (2) determining the groups eligible for vaccination, and (3) the timing for communication of distribution plans for vaccination, this descriptive investigation sheds light on the effectiveness of state-level interventions and contributes to a deeper understanding of how to manage large-scale public health initiatives. By identifying successful strategies and potential pitfalls, the study provides a roadmap for responding to future pandemics, ensuring that vaccination efforts can be swiftly and fairly implemented to protect public health.

本研究利用来自各种不同来源的数据,研究州一级的政策分配决策以及可能阻碍疫苗接种的地方、县级人口脆弱性因素如何影响美国各地的COVID-19疫苗接种工作。与其他国家在国家层面协调其应对措施不同,这项研究使用美国州和县作为单独的分析单位。这种方法可以评估哪些政策和人口属性在推动疫苗接种和确保公民之间有效和公平分配方面最具影响力。通过关注不同州在以下方面采用的不同策略:(1)确定负责分配政策的实体,(2)确定有资格接种疫苗的群体,以及(3)疫苗分配计划的沟通时机,本描述性调查揭示了州一级干预措施的有效性,并有助于更深入地了解如何管理大规模公共卫生倡议。通过确定成功的战略和潜在的缺陷,该研究为应对未来的大流行提供了路线图,确保疫苗接种工作能够迅速和公平地实施,以保护公众健康。
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引用次数: 0
Enhancing clinical and non-clinical risk management: A case study using ELECTRE Tri-nC. 加强临床和非临床风险管理:使用ELECTRE Tri-nC的案例研究。
IF 2 3区 医学 Q2 HEALTH POLICY & SERVICES Pub Date : 2025-12-01 Epub Date: 2025-10-29 DOI: 10.1007/s10729-025-09734-6
Joana Lemos Alves, Miguel Alves Pereira

Adverse events in healthcare continue to challenge hospital management practices, often resulting in avoidable patient harm and substantial financial costs. Despite technological progress and the availability of risk management tools, healthcare institutions still struggle to systematically monitor and evaluate risk dynamics over time. This study proposes a multi-criteria decision analysis framework based on the ELECTRE Tri-nC method to assess the evolution of clinical and non-clinical risks at Hospital da Luz Lisboa, a private Portuguese hospital. A panel of risk management experts evaluated twelve criteria across five years (2018-2022), enabling the classification of each quarter into one of five predefined risk categories. The model accommodates the non-compensatory nature of risk indicators and integrates expert-defined thresholds. Results reveal critical periods of heightened risk, underscoring the importance of analysing risk trends over time rather than focusing on isolated incidents. A stability analysis confirms the robustness of the weight structure and highlights the model's sensitivity to changes in the credibility threshold. Overall, the proposed approach provides healthcare decision-makers with a transparent and structured framework for retrospective risk analysis and supports the design of timely, targeted mitigation strategies. The methodology is adaptable to other hospital settings.

医疗保健中的不良事件继续挑战着医院的管理做法,往往导致本可避免的患者伤害和巨额财务成本。尽管技术进步和风险管理工具的可用性,医疗保健机构仍然难以系统地监测和评估风险动态。本研究提出了一个基于ELECTRE Tri-nC方法的多标准决策分析框架,以评估葡萄牙私立医院里斯本达卢兹医院的临床和非临床风险的演变。风险管理专家小组在五年内(2018-2022年)评估了12项标准,从而将每个季度划分为五个预定义的风险类别之一。该模型适应了风险指标的非补偿性,并集成了专家定义的阈值。结果揭示了高风险的关键时期,强调了分析风险随时间变化趋势的重要性,而不是关注孤立事件。稳定性分析证实了权重结构的鲁棒性,并突出了模型对可信度阈值变化的敏感性。总体而言,拟议的方法为医疗保健决策者提供了一个透明和结构化的框架,用于回顾性风险分析,并支持设计及时、有针对性的缓解战略。该方法适用于其他医院环境。
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引用次数: 0
A stochastic programming model for trauma hospital network expansion considering rural communities and COVID-19. 考虑农村社区和COVID-19的创伤医院网络扩展随机规划模型
IF 2 3区 医学 Q2 HEALTH POLICY & SERVICES Pub Date : 2025-12-01 Epub Date: 2025-10-04 DOI: 10.1007/s10729-025-09719-5
Eduardo Pérez, Alakshendra Joshi, Sabhasachi Saha, Francis A Méndez-Mediavilla

Trauma care services are a vital part of all healthcare-based networks as timely accessibility is important for citizens. Trauma care access is even more relevant when unexpected events, such as the COVID-19 pandemic, overload the capacity of the hospitals. Research literature has highlighted that access to trauma care is not even for all populations, especially when comparing rural and urban groups. Traditionally, the focus in trauma systems was on the designation and verification of individual hospitals as trauma centers, rather than on the overall configuration of the system. Recognition of the benefits of an inclusive trauma system has precipitated a more integrated approach. The optimal geographic configuration of trauma care centers is key to maximizing accessibility while promoting the efficient use of resources. This research reports on the development of a two-stage stochastic optimization model for geospatial expansion of a trauma network in a delimited area. The stochastic optimization model recommends the siting of new trauma care centers according to the geographic distribution of the injured population. The model has the potential to benefit both patients and institutions, by facilitating prompt access and promoting the efficient use of resources. The findings indicate that the model significantly improves trauma care coverage, particularly in rural counties, thereby enhancing equitable access to critical healthcare services.

创伤护理服务是所有医疗保健网络的重要组成部分,因为及时获得对公民很重要。当COVID-19大流行等意外事件使医院的能力超负荷时,获得创伤护理就更加重要了。研究文献强调,并不是所有人群都能获得创伤护理,尤其是在比较农村和城市人群时。传统上,创伤系统的重点是指定和验证个别医院作为创伤中心,而不是系统的整体配置。认识到包容性创伤系统的好处,促成了一种更综合的方法。创伤护理中心的最佳地理配置是最大限度地提高可达性的关键,同时促进资源的有效利用。本研究报告了一个两阶段的随机优化模型的发展创伤网络的地理空间扩展在划定的区域。随机优化模型根据受伤人群的地理分布推荐新的创伤护理中心的选址。这种模式有可能使患者和医疗机构都受益,因为它促进了及时获取和资源的有效利用。研究结果表明,该模式显著提高了创伤护理覆盖面,特别是在农村县,从而提高了获得关键医疗服务的公平机会。
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引用次数: 0
Optimal capacity planning for long-term care facilities considering patients' gender, language, and age group. 考虑患者性别、语言和年龄组的长期护理设施的最佳能力规划。
IF 2 3区 医学 Q2 HEALTH POLICY & SERVICES Pub Date : 2025-12-01 Epub Date: 2025-10-06 DOI: 10.1007/s10729-025-09717-7
Ghazal Khalili, Mohsen Zargoush, Kai Huang

Long-term care facility networks in Canada face significant challenges in balancing demand and capacity, a problem exacerbated by rising demand. In other words, the growing elderly population is escalating the need for long-term care resources. To address this issue, this study proposes a Mixed-Integer Linear Programming model based on the current standing of the long-term care system in Ontario, a representative case for considering varied patient supports. The proposed model simultaneously optimizes the timing and location of constructing new long-term care facilities while dynamically adjusting each facility's capacity, including human resources and beds. Moreover, patient assignments are optimized based on their demand region, gender, language, and age group over a finite time horizon. The model incorporates multiple constraints to accommodate patients' gender and language, addressing language barriers, alleviating feelings of loneliness, and aligning with Canada's commitment to inclusive care. Additionally, it considers patient journeys by incorporating age groups and assigning patients from different demand regions in an equitable manner through the geographical equity constraint. To validate our proposed model, we conduct a case study on the existing network in Hamilton, Ontario. An extensive set of numerical analyses is executed to provide insights into the problem. Most importantly, the results demonstrate that the model effectively optimizes facility placement and patient allocation while significantly reducing un-assignment and misassignment rates. Specifically, the results indicate that over 88% of patient demand can be accommodated annually throughout a five-year planning horizon. In addition, patients can be assigned based on language and gender with marginal additional costs. Lastly, operational costs constitute the largest share of total expenditures, whereas misassignment costs account for the smallest proportion.

加拿大的长期护理机构网络在平衡需求和能力方面面临重大挑战,需求的增加加剧了这一问题。换句话说,不断增长的老年人口正在加剧对长期护理资源的需求。为了解决这个问题,本研究提出了一个基于安大略省长期护理系统现状的混合整数线性规划模型,这是一个考虑不同患者支持的代表性案例。该模型同时优化了新建长期护理设施的时间和地点,并动态调整了每个设施的容量,包括人力资源和床位。此外,在有限的时间范围内,根据患者的需求区域、性别、语言和年龄组对患者进行优化分配。该模式结合了多种约束条件,以适应患者的性别和语言,解决语言障碍,减轻孤独感,并与加拿大对包容性护理的承诺保持一致。此外,它通过纳入年龄组并通过地理公平约束以公平的方式分配来自不同需求地区的患者来考虑患者旅程。为了验证我们提出的模型,我们对安大略省汉密尔顿的现有网络进行了案例研究。一套广泛的数值分析被执行以提供对问题的见解。最重要的是,结果表明该模型有效地优化了设施安置和患者分配,同时显著降低了未分配和错分配率。具体而言,结果表明,在五年规划期内,每年可以满足超过88%的患者需求。此外,可以根据语言和性别对患者进行分配,额外费用很少。最后,业务费用占总支出的最大份额,而错配费用所占比例最小。
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Health Care Management Science
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