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Using mixed integer programming and constraint programming for operating rooms scheduling with modified block strategy 将混合整数规划和约束规划用于改进块策略的手术室调度
IF 2.1 Q3 HEALTH CARE SCIENCES & SERVICES Pub Date : 2019-12-01 DOI: 10.1016/j.orhc.2019.100220
Maryam Younespour , Arezoo Atighehchian , Kamran Kianfar , Ehsan T. Esfahani

Operating Room (OR) Scheduling is one of the most critical problems at the operational level for hospital managers. A useful strategy for OR scheduling, especially in large hospitals is the block strategy. In this strategy, a specific time is blocked for each surgeon or surgical team. This strategy usually leads to unused operating rooms’ capacity. To overcome this problem, in this article, a novel modified block strategy is presented for the daily scheduling of elective patients. This study aims to find the optimal sequence and schedule of patients by minimizing the cost of overtime, makespan and completion time of surgeons’ operations by considering the resource constraints. Considering the limitations and real conditions of Al-Zahra Hospital, the largest educational hospital in Isfahan, Iran, is also an aspect of this study. The problem is modeled by mixed integer programming and Constraint Programming (CP). The performance of the models is verified by several random test instances. The results indicate that CP is more efficient than mathematical modeling in terms of the computational time for solving the considered problems, especially for large-size instances. The average percent of improvement in computational time is about 53% using the CP model. The proposed CP model is also used to solve real problem instances from Al-Zahra hospital. The results show that by using the CP model, the completion time of surgeons’ operations is shortened by 9% and ORs’ overtime and makespan objectives are reduced by 55% and 20% respectively.

手术室调度是医院管理人员在运营层面面临的最关键问题之一。对于手术室调度来说,一个有用的策略,特别是在大型医院中,是块策略。在这种策略中,每个外科医生或手术团队都有一个特定的时间。这种策略通常会导致手术室的容量被闲置。为了克服这一问题,本文提出了一种新的改进块策略,用于择期患者的日常调度。本研究的目的是在考虑资源约束的情况下,通过最小化外科医生手术的加班成本、makespan和完成时间,找到患者的最优顺序和安排。考虑到伊朗伊斯法罕最大的教育医院Al-Zahra医院的局限性和实际条件也是本研究的一个方面。该问题采用混合整数规划和约束规划(CP)建模。通过几个随机测试实例验证了模型的性能。结果表明,在求解所考虑问题的计算时间方面,CP比数学建模更有效,特别是对于大型实例。使用CP模型,计算时间的平均改进百分比约为53%。提出的CP模型还用于解决Al-Zahra医院的实际问题实例。结果表明,使用CP模型后,外科医生的手术完成时间缩短了9%,手术室的加班时间和完工时间目标分别降低了55%和20%。
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引用次数: 12
Creating resident shift schedules under multiple objectives by generating and evaluating the Pareto frontier 通过生成和评估帕累托边界,创建多目标下的居民轮班时间表
IF 2.1 Q3 HEALTH CARE SCIENCES & SERVICES Pub Date : 2019-12-01 DOI: 10.1016/j.orhc.2018.08.001
Young-Chae Hong , Amy Cohn , Marina A. Epelman , Aviva Alpert

Creating shift schedules for medical residents is challenging, not only because of the large number of conflicting rules and requirements needed to ensure both adequate patient care and resident educational opportunities, but also because there is no one clear, well-defined single objective function to optimize. Instead, many factors should be taken into account when selecting the “best” schedule. In our practical experience, it is impossible for the scheduler (typically, a Chief Resident) to accurately determine weights that would allow these factors to be captured in a mathematical objective function that truly represented their preferences. We therefore propose to instead provide the Chief with a set of Pareto-dominant schedules from which to select. We present an integer programming-based approach embedded within a recursive algorithm to generate these schedules. We then present both computational results to assess the tractability of our approach and a case study, based on a real-world scheduling problem at the University of Michigan Pediatric Emergency Department, to study how a Chief Resident would evaluate the Pareto set.

为住院医生制定轮班时间表是一项挑战,不仅因为要确保足够的病人护理和住院医生教育机会需要大量相互冲突的规则和要求,而且还因为没有一个明确、定义良好的单一目标函数来优化。相反,在选择“最佳”时间表时,应该考虑许多因素。在我们的实践经验中,调度器(通常是首席住院医师)不可能准确地确定权重,以使这些因素能够在真正表示其偏好的数学目标函数中被捕获。因此,我们建议为首席提供一套帕累托支配的时间表供其选择。我们提出了一种基于整数规划的方法,嵌入递归算法来生成这些时间表。然后,我们给出了计算结果来评估我们的方法的可追溯性,并给出了一个基于密歇根大学儿科急诊科实际调度问题的案例研究,以研究总住院医师如何评估帕累托集。
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引用次数: 6
A role for MCDA to navigate the trade-offs in the National Institute for Health and Care Excellence’s public health recommendations MCDA在国家健康和护理卓越研究所的公共卫生建议中发挥的作用
IF 2.1 Q3 HEALTH CARE SCIENCES & SERVICES Pub Date : 2019-12-01 DOI: 10.1016/j.orhc.2019.02.001
Brian P. Reddy , Stephen J. Walters , Alejandra Duenas , Praveen Thokala , Michael P. Kelly

Recommendations made by the UK’s National Institute for Health and Care Excellence (NICE) consider a range of relevant factors. Most famously, this includes interventions’ incremental cost-effectiveness ratios (ICER). Given the ICER’s primacy in such decision-making, it is sometimes assumed as almost analogous to an optimisation problem, maximising the number of Quality Adjusted Life Years generated by the health system subject to costs. However, structured OR techniques could still prove beneficial in informing the broader decision-making problem. Decisions are currently arrived at by advisory committees through a combination of structured processes and relatively unstructured deliberations. In principle, decision makers are expected to consider dozens of relevant factors after the completion of the economic modelling stage. No model is currently used to combine these, and MCDA may be suitable to better structure and aid these discussions and to highlight the opportunity costs associated with them. This paper outlines some of the factors currently considered in public health settings, proposes a number of approaches as to how MCDA-inspired techniques could be grafted onto current NICE processes incrementally, and considers the appropriateness of their use in this setting given NICE’s role in the health system. The paper focuses on the formulation of NICE’s public health guidance, as this area has a specific focus on equity and the determinants of health, and is therefore has the most obvious need to balance ICERs and other factors.

英国国家健康与护理卓越研究所(NICE)提出的建议考虑了一系列相关因素。最著名的是,这包括干预措施的增量成本效益比(ICER)。鉴于ICER在此类决策中的首要地位,它有时被认为几乎类似于优化问题,即在成本约束下最大化卫生系统产生的质量调整生命年的数量。然而,结构化OR技术仍然可以证明在通知更广泛的决策问题方面是有益的。目前,咨询委员会通过结构化程序和相对非结构化的审议相结合的方式作出决定。原则上,在完成经济建模阶段后,决策者应该考虑几十个相关因素。目前还没有模型用于将这些结合起来,MCDA可能适合于更好地组织和帮助这些讨论,并突出与之相关的机会成本。本文概述了目前在公共卫生环境中考虑的一些因素,提出了一些方法,如何将mcda启发的技术逐步嫁接到目前的NICE过程中,并考虑到NICE在卫生系统中的作用,在这种环境中使用它们的适当性。本文的重点是制定NICE的公共卫生指南,因为这一领域特别关注公平和健康的决定因素,因此最明显需要平衡ICERs和其他因素。
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引用次数: 7
Multitiered blood supply chain network competition: Linking blood service organizations, hospitals, and payers 多层次血液供应链网络竞争:将血液服务组织、医院和支付方联系起来
IF 2.1 Q3 HEALTH CARE SCIENCES & SERVICES Pub Date : 2019-12-01 DOI: 10.1016/j.orhc.2019.100230
Pritha Dutta , Anna Nagurney

In this paper, we present a multitiered competitive supply chain network model for the blood banking industry, with a focus on the United States, that captures the economic interactions between three tiers of stakeholders; namely, the blood service organizations, the hospitals or medical centers, which transfuse blood to patients, and the payer groups that patients belong to. In addition, the supply chain framework for this life-saving product includes the competition among blood service organizations and their various supply chain activities. We model the behavior of each category of stakeholder and use the theory of variational inequalities to derive the equilibrium conditions for the entire supply chain. Illustrative examples are provided, along with qualitative properties, followed by an algorithm, accompanied by convergence results, that is used to solve simulated numerical examples. Results from these examples demonstrate that such a model can be effectively used to determine the prices and blood pathways from blood service organizations to hospitals to payers.

在本文中,我们为血库行业提出了一个多层次竞争供应链网络模型,重点关注美国,该模型捕捉了三层利益相关者之间的经济互动;即向患者输血的血液服务机构、医院或医疗中心,以及患者所属的支付者群体。此外,这种救生产品的供应链框架包括血液服务组织及其各种供应链活动之间的竞争。我们建立了每一类利益相关者的行为模型,并利用变分不等式理论推导了整个供应链的均衡条件。给出了说明性的例子,并给出了定性性质,随后给出了一种算法,并给出了收敛结果,用于求解模拟数值例子。这些例子的结果表明,这种模型可以有效地用于确定从血液服务组织到医院再到付款人的价格和血液途径。
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引用次数: 12
Performance indicator selection for operating room supply chains: An application of ANP 手术室供应链绩效指标选择:ANP的应用
IF 2.1 Q3 HEALTH CARE SCIENCES & SERVICES Pub Date : 2019-12-01 DOI: 10.1016/j.orhc.2019.100229
Karen Moons , Geert Waeyenbergh , Liliane Pintelon , Paul Timmermans , Dirk De Ridder

Manufacturing and maintenance processes significantly benefit from effective and integrated Supply Chain Management (SCM). Recently, hospitals start to recognize the importance of these logistics initiatives to improve their operational performance while also maintaining high quality of patient care. Patient care processes are supported by a range of supply chain activities including inventory management and distribution of medical supplies to point-of-care locations. At the operating room for instance, the logistics staff’s goal is managing materials and information flows to have the requested materials at the right operating room at the right time, in the most efficient way. However, poor inventory management, lack of standardization and lack of coordination between departments complicate healthcare logistics processes, and hence result in many waste. Opportunities for efficiency gains in these logistics processes can be identified by measuring the performance of the internal supply chain. This paper presents a rigorously defined logistics performance measurement framework to evaluate the efficiency of logistics processes in operating rooms. The Analytic Network Process (ANP) is utilized as a popular Multi-Criteria Decision-Making (MCDM) technique to provide effective decision-support models. The proposed ANP-based framework is a first step towards measuring the performance of operating room supply chain processes by selecting and prioritizing logistics objectives and associated Key Performance Indicators (KPIs). Further research is required to validate the ANP framework by including multiple stakeholders’ preferences, as they may have conflicting views on performance definitions. The final goal of the framework is to support hospital logistics managers in making transparent and informed decisions to improve inventory and distribution policies in the operating room while considering all stakeholders’ preferences.

制造和维护过程显著受益于有效和集成的供应链管理(SCM)。最近,医院开始认识到这些物流举措的重要性,以提高其运营绩效,同时保持高质量的患者护理。患者护理过程得到一系列供应链活动的支持,包括库存管理和向医疗点地点分发医疗用品。例如,在手术室,后勤人员的目标是管理材料和信息流,以便在正确的时间以最有效的方式将所需的材料送到正确的手术室。然而,库存管理不善、缺乏标准化和部门之间缺乏协调使医疗保健物流过程复杂化,从而导致许多浪费。通过衡量内部供应链的绩效,可以确定这些物流过程中提高效率的机会。本文提出了一个严格定义的物流绩效测量框架,以评估手术室物流流程的效率。分析网络过程(ANP)是一种流行的多准则决策(MCDM)技术,用于提供有效的决策支持模型。拟议的基于anp的框架是通过选择和优先考虑物流目标和相关的关键绩效指标(kpi)来衡量手术室供应链流程绩效的第一步。需要进一步的研究来验证ANP框架,包括多个利益相关者的偏好,因为他们可能对绩效定义有相互冲突的观点。该框架的最终目标是支持医院物流管理人员在考虑所有利益相关者偏好的同时,做出透明和明智的决策,以改善手术室的库存和分配政策。
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引用次数: 25
Targeted multi-criteria optimisation in IMRT planning supplemented by knowledge based model creation 以知识为基础的模型创建为补充的IMRT规划目标多准则优化
IF 2.1 Q3 HEALTH CARE SCIENCES & SERVICES Pub Date : 2019-12-01 DOI: 10.1016/j.orhc.2019.04.003
Katrin Teichert , Garry Currie , Karl-Heinz Küfer , Eliane Miguel-Chumacero , Philipp Süss , Michał Walczak , Suzanne Currie

Intensity-modulated radiation therapy (IMRT) planning is an inherently multi-criteria task. A multi-criteria workflow (MCW) typically passes the following steps: create an optimisation model with multiple criteria, approximate the Pareto frontier, and visualise the generated plans to the decision-maker (DM) for inspection. This interactive plan selection and manipulation allow to create better treatment plans as judged by physicians. However, once an optimisation model is specified, optimisation objectives cannot be modified any more. Thus this fixed model implies that a planner has to guess an appropriate model to begin with. Only after Pareto frontier approximation is calculated, the planner can assess the goodness of the model by exploring the trade-offs. The shortcoming of a MCW becomes apparent when the proposed model fails to generate expected trade-offs and the planner is thus forced to refine the model and repeat the calculations. To circumvent this drawback in the MCW, we propose a local multi-criteria workflow (L-MCW) designed and implemented in a collaboration between Fraunhofer ITWM and Varian Medical Systems. L-MCW enables local exploration around an initial, promising plan. The initial plan is automatically inferred by a knowledge-based algorithm (RapidPlan™). The decision-maker can thus evaluate trade-offs in the most interesting region surrounding the initial plan. Clinical results of the combination of knowledge-based planning and L-MCW with a cohort of Prostate and stereotactic ablative radiotherapy (SABR) Lung cases demonstrate substantially reduced planning time and improved organ-at-risk sparing compared to manual planning. The L-MCW provides an intuitive and flexible mechanism to adapt knowledge-based-planning models to similar, but not identical clinical situations and allows the practitioner to quickly determine and realise the most beneficial trade-offs in a treatment plan.

调强放射治疗(IMRT)计划是一个本质上多标准的任务。多标准工作流(MCW)通常通过以下步骤:创建具有多个标准的优化模型,近似帕累托边界,并将生成的计划可视化,以供决策者(DM)检查。这种相互作用的方案选择和操作允许医生根据判断制定更好的治疗方案。然而,一旦指定了优化模型,优化目标就不能再修改了。因此,这个固定的模型意味着计划者必须从一个合适的模型开始。只有计算出Pareto边界近似后,规划者才能通过权衡来评估模型的优劣。当提出的模型不能产生预期的权衡时,MCW的缺点就变得明显了,因此计划者被迫改进模型并重复计算。为了规避MCW中的这一缺陷,我们提出了一个由弗劳恩霍夫ITWM和瓦里安医疗系统合作设计和实现的本地多标准工作流(L-MCW)。L-MCW可以围绕最初的、有希望的计划进行本地勘探。初始计划由基于知识的算法(RapidPlan™)自动推断。因此,决策者可以在围绕初始计划的最有趣的区域中评估权衡。结合基于知识的计划和L-MCW与前列腺和立体定向消融放疗(SABR)肺病例队列的临床结果表明,与手动计划相比,计划时间大大缩短,并改善了器官风险保护。L-MCW提供了一种直观和灵活的机制,使基于知识的计划模型适应相似但不相同的临床情况,并允许从业者快速确定和实现治疗计划中最有益的权衡。
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引用次数: 11
Stakeholder involvement in drug inventory policies 利益相关者参与药品库存政策
IF 2.1 Q3 HEALTH CARE SCIENCES & SERVICES Pub Date : 2019-12-01 DOI: 10.1016/j.orhc.2019.100188
Paola Cappanera , Maddalena Nonato , Roberta Rossi

This paper experimentally investigates the relationships among three major stakeholders that are involved in drug inventory management at Intensive Care Units (ICUs), namely: i) nurses, who in person manage drug orders and carry out storage operations, ii) clinicians, who choose the therapy and shape demand, and iii) the hospital management, who is in charge of the economic sustainability of the hospital. As a case study, we consider the ICU ward of a major Italian public hospital and we focus on antibiotics. We exploit a previously developed Mixed Integer Linear Programming model which decides, for each drug, when and how much to order, and we improve it by adding different sets of constraints to represent each stakeholders’ point of view. By solving three generalized models, each of which ties the satisfaction of a single stakeholder to different thresholds, we explore the mutual effects of taking explicitly into account different perspectives within the inventory policy. We implemented an instance generator, built on the basis of empirical probability distributions extracted from a large set of observed historical data and representing the decision flow ruling drugs prescription. Extensive experiments have been carried out on a set of realistic instances provided by the generator. Results based on our test case not only provide computational evidence to intuitive relations among stakeholders, but also suggest possible levels of compromise. Improved stakeholder satisfaction would also benefit the patient, the passive stakeholder who is the ultimate subject of the caring process.

本文实验探讨了重症监护室(icu)药品库存管理的三个主要利益相关者之间的关系,即:i)护士,他们亲自管理药品订单并进行储存操作;ii)临床医生,他们选择治疗方法并塑造需求;iii)医院管理层,他们负责医院的经济可持续性。作为一个案例研究,我们以意大利一家大型公立医院的ICU病房为例,重点关注抗生素。我们利用先前开发的混合整数线性规划模型,该模型决定每种药物的订购时间和数量,并通过添加不同的约束集来代表每个利益相关者的观点来改进它。通过求解三个广义模型,每个模型都将单个利益相关者的满意度与不同的阈值联系起来,我们探索了在库存政策中明确考虑不同观点的相互影响。我们实现了一个实例生成器,它建立在从大量观察到的历史数据中提取的经验概率分布的基础上,并表示药物处方的决策流。在发电机提供的一组实际实例上进行了大量的实验。基于我们的测试用例的结果不仅为利益相关者之间的直观关系提供了计算证据,而且还提出了可能的妥协水平。利益相关者满意度的提高也会使患者受益,患者是被动的利益相关者,是关怀过程的最终主体。
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引用次数: 7
Accumulating priority queues versus pure priority queues for managing patients in emergency departments 急诊病人管理的累积优先队列与纯优先队列
IF 2.1 Q3 HEALTH CARE SCIENCES & SERVICES Pub Date : 2019-12-01 DOI: 10.1016/j.orhc.2019.100224
Marta Cildoz , Amaia Ibarra , Fermin Mallor

Improving the quality of healthcare in emergency departments (EDs) is at the forefront of many hospital managers’ efforts, as they strive to plan and implement better patient flow strategies. In this paper, a new approach to manage the patient flow in EDs after triage is proposed. The new queue discipline, named accumulative priority queue with finite horizon and denoted by APQ-h, is an extension of the accumulative priority queue (APQ) discipline that considers not only the acuity level of patients and their waiting time but also the stage of the healthcare treatment. APQ disciplines have been studied in the literature from a queueing theory point of view, which requires assumptions rarely found in real EDs, such as homogeneity in the patient arrival pattern and only one service stage. The APQ-h discipline accumulates priority from the point of waiting for the first physician consultation until the moment the waiting time exceeds the upper time limit set to access the physician after the patient’s arrival. A recent study shows that a management strategy of this type is applied in practice in several Canadian EDs. The main aim of this paper is to explore the implementation of APQ-h managing policies in a real ED. For this purpose, a simulation model replicating a real ED is developed. This simulation model is also used to obtain the optimal APQ type polices through a simulation-based optimization method that solves a multi-objective and stochastic optimization problem. Arrival to provider time and total waiting time in the ED are considered to be the key ED performance indicators. An extensive computational analysis shows the flexibility of the APQ-h and APQ discipline and their superiority over other pure priority disciplines in a real setting and in a variety of ED scenarios. In addition, no superiority over the APQ discipline is demonstrated.

提高急诊科(EDs)的医疗质量是许多医院管理者努力的重点,因为他们努力计划和实施更好的病人流量策略。本文提出了一种管理急诊科分诊后病人流量的新方法。新的队列学科被命名为有限视界累积优先队列,用APQ-h表示,它是对累积优先队列(APQ)学科的扩展,它不仅考虑了患者的急性程度和等待时间,而且考虑了医疗保健治疗的阶段。已有文献从排队理论的角度对APQ学科进行了研究,这需要在实际急诊科中很少发现的假设,例如患者到达模式的同质性和只有一个服务阶段。APQ-h学科从等待第一次医生会诊开始,直到等待时间超过患者到达后访问医生的上限时间为止,累积优先级。最近的一项研究表明,这种类型的管理策略在加拿大几家医院的实践中得到了应用。本文的主要目的是探讨APQ-h管理策略在真实ED中的实现。为此,开发了一个复制真实ED的仿真模型。利用该仿真模型,通过基于仿真的优化方法获得最优APQ型策略,解决了多目标随机优化问题。到达供应商的时间和在急诊科的总等待时间被认为是急诊科的关键绩效指标。广泛的计算分析显示了APQ-h和APQ学科的灵活性,以及它们在真实环境和各种ED场景中优于其他纯优先学科的优势。此外,没有证明比APQ学科更优越。
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引用次数: 16
Inpatient admission management using multiple criteria decision-making methods 住院病人住院管理采用多准则决策方法
IF 2.1 Q3 HEALTH CARE SCIENCES & SERVICES Pub Date : 2019-12-01 DOI: 10.1016/j.orhc.2018.10.001
M. Chalgham , I. Khatrouch , M. Masmoudi , O. Chakroun Walha , A. Dammak

Emergency Department (ED) overcrowding is a public health issue associated with harmful effects simultaneously on patients and ED staff. Despite increased policies and efforts to manage this issue, it continues to rise in many EDs all over the world. ED overcrowding is not caused only by the high number of incoming patients and resources shortage, the most affecting factor leading to such problem is the inpatient boarding. In fact, the patient has to wait too long for an available hospital bed. This paper suggests a new approach to improve the inpatient flow using Multi-Criteria Decision Making (MCDM) methods. The aim is to make a rational choice of the appropriate department in the ward to which the inpatient can be assigned even if the department related to its pathology is already crowded. The Analytic Hierarchy Process (AHP) based Delphi is used to collect data. Then, the AHP method is used to determine the weights of criteria that have an impact on the assignment decision. Finally, Elimination and Choice Expressing Reality (ELECTRE) II, Technique for Order Preference by Similarity to Ideal Solution (TOPSIS), and Preference Ranking Organization METHod for Enrichment Evaluations (PROMETHEE) II are applied separately to rank the possible inpatient departments in ward in decreasing order of suitability to patient’s pathology. The provided approach is tested to the ED of Habib Bourguiba University hospital of Sfax, Tunisia where the aggregation of AHP-Delphi and TOPSIS is considered.

急诊科(ED)过度拥挤是一个公共卫生问题,同时对患者和急诊室工作人员产生有害影响。尽管加强了管理这一问题的政策和努力,但它在世界各地的许多急诊室中继续上升。造成急诊科过度拥挤的原因不仅仅是入院病人过多和资源短缺,最主要的影响因素是住院病人的入住。事实上,病人要等很长时间才能得到一张可用的病床。本文提出了一种利用多准则决策(MCDM)方法改善住院流程的新方法。这样做的目的是在与病人病理相关的科室已经拥挤的情况下,合理选择住院病人可以分配到的科室。采用基于德尔菲的层次分析法(AHP)进行数据收集。然后,采用层次分析法确定对分配决策有影响的准则的权重。最后,分别应用消除与选择表达现实法(ELECTRE) II、与理想溶液相似排序偏好法(TOPSIS)和富集评价偏好排序组织法(PROMETHEE) II,对病房内可能的住院科室按照患者病理适合程度的递减顺序进行排序。本文对突尼斯Sfax的Habib Bourguiba大学医院的急诊进行了测试,其中考虑了AHP-Delphi和TOPSIS的聚集。
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引用次数: 15
Introducing article numbering to Operations Research for Health Care 将文章编号引入医疗运筹学
IF 2.1 Q3 HEALTH CARE SCIENCES & SERVICES Pub Date : 2019-09-01 DOI: 10.1016/S2211-6923(19)30102-X
Simon Jones
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引用次数: 0
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Operations Research for Health Care
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