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Enhancing affordability and profit in a non-cooperative, coordinated, hypothetical pediatric vaccine market via sequential optimization. 在一个非合作、协调、假设的儿科疫苗市场中,通过顺序优化提高可负担性和利润。
IF 2.3 3区 医学 Q2 HEALTH POLICY & SERVICES Pub Date : 2024-09-01 Epub Date: 2024-06-29 DOI: 10.1007/s10729-024-09680-9
Bruno Alves-Maciel, Ruben A Proano

This study considers a hypothetical global pediatric vaccine market where multiple coordinating entities make optimal procurement decisions on behalf of countries with different purchasing power. Each entity aims to improve affordability for its countries while maintaining a profitable market for vaccine producers. This study analyzes the effect of several factors on affordability and profitability, including the number of non-cooperative coordinating entities making procuring decisions, the number of market segments in which countries are grouped for tiered pricing purposes, how producers recover fixed production costs, and the procuring order of the coordinating entities. The study relies on a framework where entities negotiate sequentially with vaccine producers using a three-stage optimization process that solves a MIP and two LP problems to determine the optimal procurement plans and prices per dose that maximize savings for the entities' countries and profit for the vaccine producers. The study's results challenge current vaccine market dynamics and contribute novel alternative strategies to orchestrate the interaction of buyers, producers, and coordinating entities for enhancing affordability in a non-cooperative market. Key results show that the order in which the coordinating entities negotiate with vaccine producers and how the latter recuperate their fixed cost investments can significantly affect profitability and affordability. Furthermore, low-income countries can meet their demands more affordably by procuring vaccines through tiered pricing via entities coordinating many market segments. In contrast, upper-middle and high-income countries increase their affordability by procuring through entities with fewer and more extensive market segments. A procurement order that prioritizes entities based on the descending income level of their countries offers higher opportunities to increase affordability and profit when producers offer volume discounts.

本研究考虑了一个假设的全球儿科疫苗市场,在该市场中,多个协调实体代表具有不同购买力的国家做出最佳采购决策。每个实体的目标都是提高本国的可负担性,同时为疫苗生产商维持一个有利可图的市场。本研究分析了几个因素对可负担性和盈利性的影响,包括做出采购决策的非合作协调实体的数量、为分级定价目的将国家分组的细分市场数量、生产商如何收回固定生产成本以及协调实体的采购顺序。该研究依赖于一个框架,在此框架下,实体与疫苗生产商通过三阶段优化过程依次进行谈判,解决一个 MIP 问题和两个 LP 问题,以确定最佳采购计划和每剂量价格,从而最大限度地为实体所在国节省开支,并为疫苗生产商带来利润。研究结果对当前的疫苗市场动态提出了挑战,并提出了新的替代战略,以协调购买者、生产者和协调实体之间的互动,从而提高非合作市场的可负担性。主要结果表明,协调实体与疫苗生产商谈判的顺序,以及后者如何收回固定成本投资,都会对利润率和可负担性产生重大影响。此外,低收入国家通过协调多个细分市场的实体分级定价采购疫苗,可以更经济地满足需求。相比之下,中上收入和高收入国家通过拥有较少和较广泛细分市场的实体进行采购,可提高其可负担性。当生产商提供批量折扣时,根据各国收入水平从高到低排列实体优先顺序的采购顺序可提供更多机会来提高可负担性和利润。
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引用次数: 0
Multi-resource allocation and care sequence assignment in patient management: a stochastic programming approach. 病人管理中的多资源分配和护理顺序分配:一种随机编程方法。
IF 2.3 3区 医学 Q2 HEALTH POLICY & SERVICES Pub Date : 2024-09-01 Epub Date: 2024-05-30 DOI: 10.1007/s10729-024-09675-6
Xinyu Yao, Karmel S Shehadeh, Rema Padman

To mitigate outpatient care delivery inefficiencies induced by resource shortages and demand heterogeneity, this paper focuses on the problem of allocating and sequencing multiple medical resources so that patients scheduled for clinical care can experience efficient and coordinated care with minimum total waiting time. We leverage highly granular location data on people and medical resources collected via Real-Time Location System technologies to identify dominant patient care pathways. A novel two-stage Stochastic Mixed Integer Linear Programming model is proposed to determine the optimal patient sequence based on the available resources according to the care pathways that minimize patients' expected total waiting time. The model incorporates the uncertainty in care activity duration via sample average approximation.We employ a Monte Carlo Optimization procedure to determine the appropriate sample size to obtain solutions that provide a good trade-off between approximation accuracy and computational time. Compared to the conventional deterministic model, our proposed model would significantly reduce waiting time for patients in the clinic by 60%, on average, with acceptable computational resource requirements and time complexity. In summary, this paper proposes a computationally efficient formulation for the multi-resource allocation and care sequence assignment optimization problem under uncertainty. It uses continuous assignment decision variables without timestamp and position indices, enabling the data-driven solution of problems with real-time allocation adjustment in a dynamic outpatient environment with complex clinical coordination constraints.

为了缓解因资源短缺和需求异质性而导致的门诊病人护理服务效率低下问题,本文重点探讨了如何分配和排序多种医疗资源的问题,从而使预约接受临床护理的病人能够在总等待时间最短的情况下获得高效、协调的护理服务。我们利用通过实时定位系统技术收集到的人员和医疗资源的高粒度位置数据来确定主要的患者护理路径。我们提出了一个新颖的两阶段随机混合整数线性规划模型,以根据护理路径确定基于可用资源的最佳患者序列,从而最大限度地减少患者的预期总等待时间。该模型通过样本平均近似法将护理活动持续时间的不确定性纳入其中。我们采用蒙特卡罗优化程序来确定适当的样本大小,以获得在近似精度和计算时间之间取得良好平衡的解决方案。与传统的确定性模型相比,我们提出的模型可以在可接受的计算资源要求和时间复杂度条件下,将患者在诊所的等待时间平均大幅缩短 60%。总之,本文针对不确定条件下的多资源分配和护理序列分配优化问题提出了一种计算效率高的方案。它使用不带时间戳和位置索引的连续分配决策变量,能够在具有复杂临床协调约束的动态门诊环境中以数据为驱动解决实时分配调整问题。
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引用次数: 0
Managing low-acuity patients in an Emergency Department through simulation-based multiobjective optimization using a neural network metamodel. 利用神经网络元模型,通过基于仿真的多目标优化,管理急诊科的低危重病人。
IF 2.3 3区 医学 Q2 HEALTH POLICY & SERVICES Pub Date : 2024-09-01 Epub Date: 2024-06-10 DOI: 10.1007/s10729-024-09678-3
Marco Boresta, Tommaso Giovannelli, Massimo Roma

This paper deals with Emergency Department (ED) fast-tracks for low-acuity patients, a strategy often adopted to reduce ED overcrowding. We focus on optimizing resource allocation in minor injuries units, which are the ED units that can treat low-acuity patients, with the aim of minimizing patient waiting times and ED operating costs. We formulate this problem as a general multiobjective simulation-based optimization problem where some of the objectives are expensive black-box functions that can only be evaluated through a time-consuming simulation. To efficiently solve this problem, we propose a metamodeling approach that uses an artificial neural network to replace a black-box objective function with a suitable model. This approach allows us to obtain a set of Pareto optimal points for the multiobjective problem we consider, from which decision-makers can select the most appropriate solutions for different situations. We present the results of computational experiments conducted on a real case study involving the ED of a large hospital in Italy. The results show the reliability and effectiveness of our proposed approach, compared to the standard approach based on derivative-free optimization.

本文论述了急诊室(ED)对低危重病人的快速通道问题,这是急诊室为缓解过度拥挤而经常采用的一种策略。我们的重点是优化轻伤病房的资源分配,即可以治疗低危重病人的急诊室,目的是最大限度地减少病人的等待时间和急诊室的运营成本。我们将这一问题表述为一般的多目标模拟优化问题,其中一些目标是昂贵的黑盒函数,只能通过耗时的模拟来评估。为了有效解决这一问题,我们提出了一种元建模方法,即利用人工神经网络,用一个合适的模型来替代黑盒目标函数。通过这种方法,我们可以为所考虑的多目标问题获得一组帕累托最优点,决策者可以从中选择最适合不同情况的解决方案。我们介绍了在意大利一家大型医院急诊室进行的真实案例研究的计算实验结果。结果表明,与基于无导数优化的标准方法相比,我们提出的方法既可靠又有效。
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引用次数: 0
A systematic literature review of predicting patient discharges using statistical methods and machine learning. 利用统计方法和机器学习预测病人出院情况的系统性文献综述。
IF 2.3 3区 医学 Q2 HEALTH POLICY & SERVICES Pub Date : 2024-09-01 Epub Date: 2024-07-22 DOI: 10.1007/s10729-024-09682-7
Mahsa Pahlevani, Majid Taghavi, Peter Vanberkel

Discharge planning is integral to patient flow as delays can lead to hospital-wide congestion. Because a structured discharge plan can reduce hospital length of stay while enhancing patient satisfaction, this topic has caught the interest of many healthcare professionals and researchers. Predicting discharge outcomes, such as destination and time, is crucial in discharge planning by helping healthcare providers anticipate patient needs and resource requirements. This article examines the literature on the prediction of various discharge outcomes. Our review discovered papers that explore the use of prediction models to forecast the time, volume, and destination of discharged patients. Of the 101 reviewed papers, 49.5% looked at the prediction with machine learning tools, and 50.5% focused on prediction with statistical methods. The fact that knowing discharge outcomes in advance affects operational, tactical, medical, and administrative aspects is a frequent theme in the papers studied. Furthermore, conducting system-wide optimization, predicting the time and destination of patients after discharge, and addressing the primary causes of discharge delay in the process are among the recommendations for further research in this field.

出院计划是病人流程中不可或缺的一部分,因为延误会导致整个医院的拥堵。由于有条理的出院计划可以缩短住院时间,同时提高患者满意度,因此这一话题引起了许多医疗保健专业人士和研究人员的兴趣。预测出院结果(如目的地和时间)在出院计划中至关重要,它有助于医疗服务提供者预测患者需求和资源需求。本文研究了有关各种出院结果预测的文献。我们在综述中发现了一些探讨使用预测模型来预测出院患者的出院时间、出院量和出院目的地的论文。在 101 篇综述论文中,49.5% 使用机器学习工具进行预测,50.5% 侧重于使用统计方法进行预测。提前了解出院结果会对运营、战术、医疗和行政方面产生影响,这是研究论文中经常出现的主题。此外,进行全系统优化、预测患者出院后的时间和去向、解决出院延迟的主要原因也是该领域进一步研究的建议之一。
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引用次数: 0
Meritorious service awards - 2023. 荣誉服务奖 - 2023 年。
IF 3.6 3区 医学 Q2 HEALTH POLICY & SERVICES Pub Date : 2024-06-15 DOI: 10.1007/s10729-024-09679-2
Greg Zaric
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引用次数: 0
Integrated procurement and reprocessing planning for reusable medical devices with a limited shelf life. 为保质期有限的可重复使用医疗器械制定综合采购和后处理计划。
IF 2.3 3区 医学 Q2 HEALTH POLICY & SERVICES Pub Date : 2024-06-01 Epub Date: 2024-01-25 DOI: 10.1007/s10729-024-09664-9
Steffen Rickers, Florian Sahling

We present a new model formulation for a multiproduct dynamic order quantity problem with product returns and a reprocessing option. The optimization considers the limited shelf life of sterile medical devices as well as the capacity constraints of reprocessing and sterilization resources. The time-varying demand is known in advance and must be satisfied by purchasing new medical devices or by reprocessing used and expired devices. The objective is to determine a feasible procurement and reprocessing plan that minimizes the incurred costs. The problem is solved in a heuristic manner in two steps. First, we use a Dantzig-Wolfe reformulation of the underlying problem, and a column generation approach is applied to tighten the lower bound. In the next step, the obtained lower bound is transformed into a feasible solution using CPLEX. Our numerical results illustrate the high solution quality of this approach. The comparison with a simulation based on the first-come-first-served principle shows the advantage of integrated planning.

我们提出了一种新的模式,用于解决带有产品退货和再加工选项的多产品动态订货量问题。优化考虑了无菌医疗器械有限的保质期以及再加工和消毒资源的能力约束。随时间变化的需求是事先已知的,必须通过购买新的医疗器械或对使用过的过期器械进行再加工来满足。目标是确定一个可行的采购和再处理计划,使产生的成本最小化。该问题以启发式方法分两步解决。首先,我们使用 Dantzig-Wolfe 方法重新表述基本问题,并采用列生成法来收窄下限。下一步,使用 CPLEX 将获得的下限转化为可行解。我们的数值结果表明了这种方法的高求解质量。与基于先到先得原则的模拟进行的比较显示了综合规划的优势。
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引用次数: 0
The potential of patient-based nurse staffing - a queuing theory application in the neonatal intensive care setting. 以病人为基础的护士人员配置的潜力--排队理论在新生儿重症监护中的应用。
IF 2.3 3区 医学 Q2 HEALTH POLICY & SERVICES Pub Date : 2024-06-01 Epub Date: 2024-01-30 DOI: 10.1007/s10729-024-09665-8
Sandra Sülz, Andreas Fügener, Michael Becker-Peth, Bernhard Roth

Faced by a severe shortage of nurses and increasing demand for care, hospitals need to optimally determine their staffing levels. Ideally, nurses should be staffed to those shifts where they generate the highest positive value for the quality of healthcare. This paper develops an approach that identifies the incremental benefit of staffing an additional nurse depending on the patient mix. Based on the reasoning that timely fulfillment of care demand is essential for the healthcare process and its quality in the critical care setting, we propose to measure the incremental benefit of staffing an additional nurse through reductions in time until care arrives (TUCA). We determine TUCA by relying on queuing theory and parametrize the model with real data collected through an observational study. The study indicates that using the TUCA concept and applying queuing theory at the care event level has the potential to improve quality of care for a given nurse capacity by efficiently trading situations of high versus low workload.

面对护士严重短缺和日益增长的护理需求,医院需要优化确定其人员配置水平。理想情况下,应为那些能为医疗质量带来最大积极价值的班次配备护士。本文提出了一种方法,可根据病人组合确定增加一名护士的增量效益。在重症监护环境中,及时满足护理需求对医疗流程及其质量至关重要,基于这一推理,我们建议通过缩短护理到达时间(TUCA)来衡量增加一名护士的增量效益。我们根据排队理论确定 TUCA,并通过观察研究收集的真实数据对模型进行参数化。研究表明,使用 TUCA 概念并将排队理论应用于护理事件层面,有可能通过有效交换高工作量与低工作量的情况来提高给定护士容量下的护理质量。
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引用次数: 0
Optimization of the stroke hospital selection strategy and the distribution of endovascular thrombectomy resources. 优化卒中医院选择策略和血管内血栓切除术资源分配。
IF 2.3 3区 医学 Q2 HEALTH POLICY & SERVICES Pub Date : 2024-06-01 Epub Date: 2024-02-12 DOI: 10.1007/s10729-023-09663-2
Chun-Han Wang, Yu-Ching Lee, Ming-Ju Hsieh

Nowadays, emergency medical technicians (EMTs) decide to send a suspected stroke patient to a primary stroke center (PSC) or to an endovascular thrombectomy (EVT)-capable hospital, based on the Cincinnati Prehospital Stroke Scale (CPSS) and the number of symptoms a patient presents at the scene. Based on existing studies, the patient is likely to have a better functional outcome after three months if the time between the onset of symptoms and receiving EVT treatment is shorter. However, if an acute ischemic stroke (AIS) patient with large vessel occlusion (LVO) is first sent to a PSC, and then needs to be transferred to an EVT-capable hospital, the time to get definitive treatment is significantly increased. For this purpose, We formulate an integer programming model to minimize the expected time to receive a definitive treatment for stroke patients. We then use real-world data to verify the validity of the model. Also, we expand our model to find the optimal redistribution and centralization of EVT resources. It will enable therapeutic teams to increase their experience and skills more efficiently within a short period of time.

如今,急救医疗技术人员(EMT)会根据辛辛那提院前卒中量表(CPSS)和患者在现场出现的症状数量,决定将疑似卒中患者送往初级卒中中心(PSC)或具备血管内血栓切除术(EVT)能力的医院。根据现有研究,如果患者从出现症状到接受 EVT 治疗的时间较短,则其三个月后的功能预后可能较好。然而,如果大血管闭塞(LVO)的急性缺血性卒中(AIS)患者先被送往急诊中心,然后需要转院至具备 EVT 治疗能力的医院,获得明确治疗的时间就会大大增加。为此,我们建立了一个整数编程模型,以最小化中风患者接受明确治疗的预期时间。然后,我们使用真实世界的数据来验证模型的有效性。此外,我们还对模型进行了扩展,以找到最佳的 EVT 资源再分配和集中化方案。这将使治疗团队在短时间内更有效地增加经验和技能。
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引用次数: 0
Real-time management of intra-hospital patient transport requests. 实时管理院内病人转运请求。
IF 2.3 3区 医学 Q2 HEALTH POLICY & SERVICES Pub Date : 2024-06-01 Epub Date: 2024-03-06 DOI: 10.1007/s10729-024-09667-6
Vinicius M Ton, Nathália C O da Silva, Angel Ruiz, José E Pécora, Cassius T Scarpin, Valérie Bélenger

This paper addresses the management of patients' transportation requests within a hospital, a very challenging problem where requests must be scheduled among the available porters so that patients arrive at their destination timely and the resources invested in patient transport are kept as low as possible. Transportation requests arrive during the day in an unpredictable manner, so they need to be scheduled in real-time. To ensure that the requests are scheduled in the best possible manner, one should also reconsider the decisions made on pending requests that have not yet been completed, a process that will be referred to as rescheduling. This paper proposes several policies to trigger and execute the rescheduling of pending requests and three approaches (a mathematical formulation, a constructive heuristic, and a local search heuristic) to solve each rescheduling problem. A simulation tool is proposed to assess the performance of the rescheduling strategies and the proposed scheduling methods to tackle instances inspired by a real mid-size hospital. Compared to a heuristic that mimics the way requests are currently handled in our partner hospital, the best combination of scheduling method and rescheduling strategy produces an average 5.7 minutes reduction in response time and a 13% reduction in the percentage of late requests. Furthermore, since the total distance walked by porters is substantially reduced, our experiments demonstrate that it is possible to reduce the number of porters - and therefore the operating costs - without reducing the current level of service.

本文讨论的是医院内病人运送请求的管理问题,这是一个非常具有挑战性的问题,必须在可用的搬运工之间安排运送请求,以便病人及时到达目的地,并尽可能减少在病人运送方面投入的资源。运送请求每天都会以不可预测的方式到达,因此需要实时调度。为确保以最佳方式对请求进行调度,还应重新考虑对尚未完成的待办请求所做的决定,这一过程将被称为重新调度。本文提出了几种触发和执行待办请求重新排程的策略,以及三种解决每个重新排程问题的方法(数学公式、构造启发式和局部搜索启发式)。我们提出了一个仿真工具来评估重新安排策略和建议的调度方法的性能,以解决由一家真实的中型医院启发的实例。与模仿合作医院目前处理请求方式的启发式相比,调度方法和重新调度策略的最佳组合平均缩短了 5.7 分钟的响应时间,并将延迟请求的百分比降低了 13%。此外,由于搬运工行走的总距离大大减少,我们的实验证明,在不降低现有服务水平的情况下,减少搬运工的数量,从而降低运营成本是可能的。
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引用次数: 0
Visibility-based layout of a hospital unit - An optimization approach. 基于可见度的医院单元布局--一种优化方法。
IF 2.3 3区 医学 Q2 HEALTH POLICY & SERVICES Pub Date : 2024-06-01 Epub Date: 2024-04-30 DOI: 10.1007/s10729-024-09670-x
Uttam Karki, Pratik J Parikh

A patient fall is one of the adverse events in an inpatient unit of a hospital that can lead to disability and/or mortality. The medical literature suggests that increased visibility of patients by unit nurses is essential to improve patient monitoring and, in turn, reduce falls. However, such research has been descriptive in nature and does not provide an understanding of the characteristics of an optimal inpatient unit layout from a visibility-standpoint. To fill this gap, we adopt an interdisciplinary approach that combines the human field of view with facility layout design approaches. Specifically, we propose a bi-objective optimization model that jointly determines the optimal (i) location of a nurse in a nursing station and (ii) orientation of a patient's bed in a room for a given layout. The two objectives are maximizing the total visibility of all patients across patient rooms and minimizing inequity in visibility among those patients. We consider three different layout types, L-shaped, I-shaped, and Radial; these shapes exhibit the section of an inpatient unit that a nurse oversees. To estimate visibility, we employ the ray casting algorithm to quantify the visible target in a room when viewed by the nurse from the nursing station. The algorithm considers nurses' horizontal visual field and their depth of vision. Owing to the difficulty in solving the bi-objective model, we also propose a Multi-Objective Particle Swarm Optimization (MOPSO) heuristic to find (near) optimal solutions. Our findings suggest that the Radial layout appears to outperform the other two layouts in terms of the visibility-based objectives. We found that with a Radial layout, there can be an improvement of up to 50% in equity measure compared to an I-shaped layout. Similar improvements were observed when compared to the L-shaped layout as well. Further, the position of the patient's bed plays a role in maximizing the visibility of the patient's room. Insights from our work will enable understanding and quantifying the relationship between a physical layout and the corresponding provider-to-patient visibility to reduce adverse events.

病人跌倒是医院住院部的不良事件之一,可导致残疾和/或死亡。医学文献表明,增加病房护士对病人的可见度对于改善病人监护,进而减少跌倒至关重要。然而,这些研究都是描述性的,并不能从可视性的角度来理解最佳住院部布局的特点。为了填补这一空白,我们采用了一种跨学科的方法,将人类视野与设施布局设计方法相结合。具体来说,我们提出了一个双目标优化模型,该模型可共同确定给定布局下的最佳(i) 护士在护理站的位置和(ii) 病人病床在病房的朝向。这两个目标分别是最大化所有病人在病房内的总能见度,以及最小化这些病人之间的不平等能见度。我们考虑了三种不同的布局类型,即 L 型、I 型和径向型;这些形状展示了护士所负责的住院部区域。为了估算可见度,我们采用了光线投射算法,以量化护士从护理站看到的房间内可见目标。该算法考虑了护士的水平视野和视觉深度。由于双目标模型的求解难度较大,我们还提出了多目标粒子群优化(MOPSO)启发式来寻找(接近)最优解。我们的研究结果表明,就基于可见度的目标而言,径向布局似乎优于其他两种布局。我们发现,与 "工 "字形布局相比,径向布局的公平性可提高 50%。与 L 型布局相比,也有类似的改进。此外,病人床的位置在最大限度地提高病房能见度方面也发挥了作用。从我们的工作中获得的启示将有助于理解和量化物理布局与相应的医疗服务提供者对患者可见度之间的关系,从而减少不良事件的发生。
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引用次数: 0
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Health Care Management Science
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