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Multi-objective optimization for perishable product dispatch in a FEFO system for a food bank single warehouse 食品银行单一仓库 FEFO 系统中易腐产品调度的多目标优化
IF 2.5 4区 管理学 Q1 Mathematics Pub Date : 2024-05-07 DOI: 10.1016/j.orp.2024.100304
Carlos Aníbal Suárez , Walter A. Guaño , Cinthia C. Pérez , Heydi Roa-López

One of the main challenges of food bank warehouses in developing countries is to determine how to allocate perishable products to beneficiary agencies with different expiry dates while ensuring food safety, meeting nutritional requirements, and minimizing the shortage. The contribution of this research is to introduce a new multi-objective, multi-product, and multi-period perishable food allocation problem based on a single warehouse management system for a First Expired-First Out (FEFO) policy. Moreover, it incorporates the temporal aspect, guaranteeing the dispatch of only those perishable products that meet the prescribed minimum quality standards. A weighted sum approach converts the multi-objective problem of minimizing a vector of objective functions into a scalar problem by constructing a weighted sum of all the objectives. The problem can then be solved using a standard constrained optimization procedure. The proposed mixed integer linear model is solved by using the CPLEX solver. The solution obtained from the multi-objective problem allows us to identify days and products experiencing shortages. In such cases, when there is insufficient available inventory, the total quantity of product to be dispatched is redistributed among beneficiaries according to a pre-established prioritization. These redistributions are formulated as integer programming problems using a score-based criterion and solved by an exact method based on dynamic programming. Computational results demonstrate the applicability of the novel model for perishable items to a real-world study case.

发展中国家食品银行仓库面临的主要挑战之一,是如何在确保食品安全、满足营养要求和尽量减少短缺的同时,将易腐产品分配给不同有效期的受益机构。本研究的贡献在于引入了一个全新的多目标、多产品和多周期易腐食品分配问题,该问题基于一个单一的仓库管理系统,采用先到期先出库(FEFO)政策。此外,它还考虑了时间因素,保证只调度符合规定的最低质量标准的易腐产品。加权和方法通过构建所有目标的加权和,将目标函数向量最小化的多目标问题转换为标量问题。然后就可以使用标准的约束优化程序来解决这个问题。拟议的混合整数线性模型通过 CPLEX 求解器求解。通过多目标问题求解,我们可以确定出现短缺的天数和产品。在这种情况下,当可用库存不足时,需要发送的产品总量将根据预先确定的优先级在受益人之间重新分配。这些重新分配被表述为使用基于分数标准的整数编程问题,并通过基于动态编程的精确方法加以解决。计算结果证明了这一新型易腐物品模型在实际研究案例中的适用性。
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引用次数: 0
A recent review of solution approaches for green vehicle routing problem and its variants 绿色车辆路由问题及其变体解决方法的最新综述
IF 2.5 4区 管理学 Q1 Mathematics Pub Date : 2024-04-28 DOI: 10.1016/j.orp.2024.100303
Annisa Kesy Garside , Robiah Ahmad , Mohd Nabil Bin Muhtazaruddin

The green vehicle routing problem (GVRP) has been a prominent topic in the literature on logistics and transportation, leading to extensive research and previous review studies covering various aspects. Operations research has seen the development of various exact and approximation approaches for different extensions of the GVRP. This paper presents an up-to-date and thorough review of GVRP literature spanning from 2016 to 2023, encompassing 458 papers. significant contribution lies in the updated solution approaches and algorithms applied to both single-objective and multi-objective GVRP. Notably, 92.58 % of the papers introduced a mathematical model for GVRP, with many researchers adopting mixed integer linear programming as the preferred modeling approach. The findings indicate that both metaheuristics and hybrid are the most employed solution approaches for addressing single-objective GVRP. Among hybrid approaches, the combination of metaheuristics-metaheuristics is particularly favored by GVRP researchers. Furthermore, large neighborhood search (LNS) and its variants (especially adaptive large neighborhood search) emerges as the most widely adopted algorithm in single-objective GVRP. These algorithms are proposed within both metaheuristic and hybrid approaches, where A-/LNS is often combined with other algorithms. Conversely, metaheuristics are predominant in addressing multi-objective GVRP, with NSGA-II being the most frequently proposed algorithm. Researchers frequently utilize GAMS and CPLEX as optimization modeling software and solvers. Furthermore, MATLAB is a commonly employed programming language for implementing proposed algorithms.

绿色车辆路由问题(GVRP)一直是物流和运输文献中的一个突出主题,引发了广泛的研究和以往涉及各个方面的综述研究。在运筹学研究中,针对 GVRP 的不同扩展提出了各种精确和近似方法。本文对 2016 年至 2023 年期间的 GVRP 文献进行了最新、全面的综述,其中包括 458 篇论文。本文的重要贡献在于更新了适用于单目标和多目标 GVRP 的求解方法和算法。值得注意的是,92.58% 的论文介绍了 GVRP 的数学模型,许多研究人员采用混合整数线性规划作为首选建模方法。研究结果表明,元启发式和混合式是解决单目标 GVRP 最常用的方法。在混合方法中,元启发式与元启发式的结合尤其受到 GVRP 研究人员的青睐。此外,大型邻域搜索(LNS)及其变体(尤其是自适应大型邻域搜索)成为单目标 GVRP 中最广泛采用的算法。这些算法是在元启发式和混合方法中提出的,其中 A-/LNS 通常与其他算法相结合。相反,元启发式算法在处理多目标 GVRP 时占主导地位,其中 NSGA-II 是最常被提出的算法。研究人员经常使用 GAMS 和 CPLEX 作为优化建模软件和求解器。此外,MATLAB 也是常用的编程语言,用于实现所提出的算法。
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引用次数: 0
A multiobjective approach for weekly Green Home Health Care routing and scheduling problem with care continuity and synchronized services 针对具有护理连续性和同步服务的每周绿色家庭保健路由和调度问题的多目标方法
IF 2.5 4区 管理学 Q1 Mathematics Pub Date : 2024-04-17 DOI: 10.1016/j.orp.2024.100302
Salma Makboul , Said Kharraja , Abderrahman Abbassi , Ahmed El Hilali Alaoui

Home Health Care (HHC) services are essential for delivering healthcare programs to patients in their homes, with the goal of reducing hospitalization rates and improving patients’ quality of life. However, HHC organizations face significant challenges in scheduling and routing caregivers for home care visits due to complex criteria and constraints. This paper addresses these challenges by considering both caregiver assignments and transportation logistics. The objective is to minimize the total travel distance and CO2 emissions while ensuring a balanced workload for caregivers, meeting patients’ preferences, synchronization, precedence, and availability constraints. To tackle this problem, we propose a multiperiodic Green Home Health Care (GHHC) framework. In the first stage, we utilize multiobjective programming and the NSGA-II algorithm to generate Pareto front solutions that consider travel distance and CO2 emissions. In the second stage, a Mixed-Integer Linear Programming (MILP) model is proposed to balance caregivers’ workload by assigning them to the patient routes generated in the first stage. The results highlight the trade-off between shorter routes and lower emissions. Furthermore, we examine the impact of prioritizing continuity of care and patient satisfaction. This research provides valuable insights into addressing the scheduling and routing challenges in HHC services, contributing to a more efficient and environmentally friendly healthcare delivery.

家庭医疗保健(HHC)服务对于在患者家中为其提供医疗保健项目至关重要,其目标是降低住院率和提高患者的生活质量。然而,由于复杂的标准和限制因素,家庭医疗保健组织在安排和安排护理人员进行家庭护理访问时面临着巨大的挑战。本文通过考虑护理人员的分配和交通物流来应对这些挑战。我们的目标是最大限度地减少总行程和二氧化碳排放量,同时确保护理人员的均衡工作量,满足病人的偏好、同步性、优先性和可用性限制。为了解决这个问题,我们提出了一个多周期绿色家庭医疗保健(GHHC)框架。在第一阶段,我们利用多目标程序设计和 NSGA-II 算法来生成考虑旅行距离和二氧化碳排放量的帕累托前沿解决方案。在第二阶段,我们提出了一个混合整数线性规划(MILP)模型,通过将护理人员分配到第一阶段生成的病人路线来平衡他们的工作量。结果凸显了缩短路线与降低排放量之间的权衡。此外,我们还研究了优先考虑护理连续性和患者满意度的影响。这项研究为解决医疗保健服务中的调度和路线选择难题提供了宝贵的见解,有助于提供更高效、更环保的医疗保健服务。
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引用次数: 0
Towards balancing efficiency and customer satisfaction in airplane boarding: An agent-based approach 在飞机登机过程中平衡效率与客户满意度:基于代理的方法
IF 2.5 4区 管理学 Q1 Mathematics Pub Date : 2024-04-12 DOI: 10.1016/j.orp.2024.100301
Bruna H.P. Fabrin , Denise B. Ferrari , Eduardo M. Arraut , Simone Neumann

The airplane boarding process, which can have a significant impact on a flight’s turnaround time, is often viewed by researchers and airlines primarily in terms of minimizing total boarding time (TBT). Airplane capacity, number of passengers on board, amount of luggage, and boarding strategy are common factors that affect TBT. However, besides operational efficiency, airlines are also concerned with customer satisfaction, which affects customer loyalty and financial return. One factor that influences passenger experience is the individual boarding time (IBT), here defined by the time passengers stand inside the cabin. Considering these two aspects, an agent-based model is presented that compares the performance of three alternative mainstream boarding strategies in a 132-seat and a 160-seat single-aisle commercial airplane. An important characteristic of the model that differentiates it from previous work is that overhead bins have a physical limitation, which could lead to an increase in aisle interferences on full flights as passengers take longer to find a place for their carry-on luggage. Another important contribution is the analysis of how passenger seat location affects IBT. Our results show that outside-in (OI) produces shorter TBT than random and back-to-front boarding, and also shorter IBT and much shorter maximum IBT than BTF, particularly for passengers seated in the middle of the airplane. This suggests that among the three most popular boarding strategies used by airlines across the world, OI is the best when it comes to balancing airplane boarding efficiency with individual customer satisfaction.

登机流程对航班周转时间有重大影响,研究人员和航空公司通常主要从最大限度缩短总登机时间(TBT)的角度来看待登机流程。飞机容量、机上乘客数量、行李数量和登机策略是影响总登机时间的常见因素。然而,除了运营效率,航空公司还关注客户满意度,因为客户满意度会影响客户忠诚度和财务回报。影响乘客体验的一个因素是个人登机时间(IBT),这里指乘客在机舱内停留的时间。考虑到这两个方面,本文提出了一个基于代理的模型,该模型比较了 132 座和 160 座单通道商用飞机中三种可供选择的主流登机策略的性能。该模型有别于以往研究的一个重要特点是,头顶行李箱有物理限制,这可能会导致在满员航班上,由于乘客需要更长时间才能找到放置随身行李的地方,从而增加过道干扰。另一个重要贡献是分析了乘客座位位置对 IBT 的影响。我们的研究结果表明,与随机登机和背对背登机相比,从外向内登机(OI)产生的 TBT 更短,与 BTF 相比,IBT 也更短,最大 IBT 更短,尤其是对于坐在飞机中间的乘客。这表明,在全球航空公司最常用的三种登机策略中,OI 是兼顾登机效率和乘客满意度的最佳策略。
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引用次数: 0
Green retailer: A stochastic bi-level approach to support investment decisions in sustainable energy systems 绿色零售商:支持可持续能源系统投资决策的双层随机方法
IF 2.5 4区 管理学 Q1 Mathematics Pub Date : 2024-03-12 DOI: 10.1016/j.orp.2024.100300
Patrizia Beraldi

This paper presents a bi-level approach to support retailers in making investment decisions in renewable-based systems to provide clean electricity. The proposed model captures the strategic nature of the problem and combines capacity sizing decisions for installed technologies with pricing decisions regarding the electricity tariffs to offer to a reference end-user, representative of a class of residential prosumers. The interaction between retailer and end-user is modeled using the Stackelberg game framework, with the former acting as a leader and the latter as follower. The reaction of the follower to the electricity tariff affects the retailer’s profit, which is calculated as the difference between the revenue generated from selling electricity and the total investment, operation and management costs. To account for uncertainty in wholesale electricity prices, renewable resource availability and electricity request, the upper-level problem is formulated as a two-stage stochastic programming model. First-stage decisions refer to the sizing of installed technologies and electricity tariffs, whereas second-stage decisions refer to the operation and management of the designed system. The model also incorporates a safety measure to control the average profit that can be achieved in a given percentage of worst-case situations, thus providing a contingency against unforeseen changes. At the lower level, the follower reacts to the offered tariffs by defining the procurement plan in terms of energy to purchase from the retailer or potential competitors, with the final aim of minimizing the expected value of the electricity bill. A tailored approach that exploits the specific problem structure is designed to solve the proposed formulation and extensively tested on a realistic case study. The numerical results demonstrate the efficiency of the proposed approach and validate the significance of explicitly dealing with the uncertainty and the importance of incorporating a safety measure.

本文提出了一种双层方法,以支持零售商做出投资可再生能源系统的决策,从而提供清洁电力。所提出的模型抓住了问题的战略本质,并将已安装技术的容量大小决策与有关向参考最终用户(代表一类住宅消费用户)提供电价的定价决策相结合。零售商和最终用户之间的互动采用斯塔克尔伯格博弈框架建模,前者扮演领导者,后者扮演追随者。追随者对电价的反应会影响零售商的利润,而利润的计算方法是售电收入与总投资、运营和管理成本之间的差额。为了考虑批发电价、可再生资源可用性和电力需求的不确定性,上层问题被表述为一个两阶段随机编程模型。第一阶段的决策涉及所安装技术的规模和电价,第二阶段的决策涉及所设计系统的运行和管理。该模型还纳入了一项安全措施,以控制在一定比例的最坏情况下可实现的平均利润,从而为不可预见的变化提供应急措施。在较低层次上,追随者通过确定从零售商或潜在竞争者处购买能源的采购计划,对所提供的电价做出反应,最终目的是使电费账单的预期值最小化。我们设计了一种利用特定问题结构的定制方法来解决所提出的问题,并在实际案例研究中进行了广泛测试。数值结果表明了所提方法的效率,并验证了明确处理不确定性的重要性以及纳入安全措施的重要性。
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引用次数: 0
Pareto-optimal front generation for the bi-objective JIT scheduling problems with a piecewise linear trade-off between objectives 双目标 JIT 调度问题的帕累托最优前沿生成,目标之间存在片断线性权衡
IF 2.5 4区 管理学 Q1 Mathematics Pub Date : 2024-02-17 DOI: 10.1016/j.orp.2024.100299
Sona Babu, B.S. Girish

This paper proposes a novel method of Pareto front generation from a set of piecewise linear trade-off curves typically encountered in bi-objective just-in-time (JIT) scheduling problems. We have considered the simultaneous minimization of total weighted earliness and tardiness (TWET) and total flowtime (TFT) objectives in a single-machine scheduling problem (SMSP) with distinct job due dates allowing inserted idle times in the schedules. An optimal timing algorithm (OTA) is presented to generate the trade-off curve between TWET and TFT for a given sequence of jobs. The proposed method of Pareto front generation generates a Pareto-optimal front constituted of both line segments and points. Further, we employ a simple local search method to generate sequences of jobs and their respective trade-off curves, which are trimmed and merged to generate the Pareto-optimal front using the proposed method. Computational results obtained using problem instances of different sizes reveal the efficiency of the proposed OTA and the Pareto front generation method over the state-of-the-art methodologies adopted from the literature.

本文提出了一种新方法,即从双目标及时调度(JIT)问题中通常会遇到的一组片断线性权衡曲线中生成帕累托前沿。我们考虑了在单机调度问题(SMSP)中同时最小化总加权提前和延迟(TWET)目标和总流动时间(TFT)目标的问题,该问题具有不同的作业到期日,允许在调度中插入空闲时间。本文提出了一种最佳时间算法 (OTA),用于生成给定作业序列中 TWET 和 TFT 之间的权衡曲线。所提出的帕累托前沿生成方法可生成由线段和点构成的帕累托最优前沿。此外,我们还采用了一种简单的局部搜索方法来生成工作序列及其各自的权衡曲线,并利用所提出的方法对这些曲线进行修剪和合并,从而生成帕累托最优前沿。利用不同大小的问题实例获得的计算结果显示,与文献中采用的最先进方法相比,建议的 OTA 和帕累托前沿生成方法非常高效。
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引用次数: 0
The decrease of ED patient boarding by implementing a stock management policy in hospital admissions 通过在入院时实施库存管理政策,减少急诊室病人的登机人数
IF 2.5 4区 管理学 Q1 Mathematics Pub Date : 2024-02-09 DOI: 10.1016/j.orp.2024.100298
Sebastián Jaén

The presence of congestion is a common scenario in tertiary-level hospitals worldwide. Current research suggests that an increase in hospital bed capacity is not a long-term solution given that patient demand adapts to added capacity. Recent literature suggests the need for the implementation of a policy of inter-hospital transfers to divert patients to outpatient priority services or home care. This policy has proven to be effective in reducing ED boarding without compromising patient safety. However, determining the required number of patients to be admitted is key. The dynamic nature of hospital bed availability and discharges requires an admission process able to be in synchrony with those variations. A mismatch between patient demand and hospital admissions will result in either ED boarding or idle capacity. The purpose of this paper is to introduce a methodology to support the process of hospital admissions by providing as an input a threshold for the number of patients to be admitted. The methodology is tested using a system dynamics model that replicates one year of operations of a tertiary-level hospital. The simulations reveal the potential of the methodology to decrease the ED inpatient boarding rate as well as ED and hospital length of stay.

拥堵是全球三级医院的普遍现象。目前的研究表明,增加医院床位并不是长久之计,因为病人的需求会适应增加的床位。最近的文献表明,有必要实施医院间转院政策,将病人分流到门诊优先服务或家庭护理。事实证明,这一政策能有效减少急诊室的住院人数,同时又不影响患者的安全。然而,确定需要收治的病人数量是关键。医院床位供应和出院情况的动态性质要求入院流程能够与这些变化保持同步。如果病人需求与医院收治人数不匹配,就会导致急诊室住院人数过多或容量闲置。本文旨在介绍一种方法,通过提供待收治病人数量的阈值作为输入,支持医院的收治流程。本文使用一个系统动力学模型对该方法进行了测试,该模型复制了一家三级医院一年的运营情况。模拟结果表明,该方法有可能降低急诊室住院病人寄宿率,缩短急诊室和医院的住院时间。
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引用次数: 0
Sustainability inventory management model with warm-up process and shortage 带有预热过程和短缺的可持续性库存管理模型
IF 2.5 4区 管理学 Q1 Mathematics Pub Date : 2024-02-08 DOI: 10.1016/j.orp.2024.100297
Erfan Nobil , Leopoldo Eduardo Cárdenas-Barrón , Dagoberto Garza-Núñez , Gerardo Treviño-Garza , Armando Céspedes-Mota , Imelda de Jesús Loera-Hernández , Neale R. Smith , Amir Hossein Nobil

Fast-paced markets require complex interactions from all supply-chain agents to satisfy customer demands and needs. The manufacturing industries face some difficulties in terms of production amounts and smooth delivery rates. Technical experts found that a warm-up period before a production run helps address those challenges and improves the workability of machine tools in the manufacturing process. The use of a warm-up process causes a reduction of faulty products (an adverse production outcome) and improves operational efficiency. Also, a shortage in the supply of commodities creates difficult conditions for inventory management decisions, posing the same production problems as mentioned above. Consideration of the warm-up process has recently been included in the scope of operations research, but it is necessary to study its interaction with the presence of shortage. This study presents a system where a manufacturing environment utilizes the warm-up process in its initial phase and shortages are allowed during the production period, in addition, the study takes into account carbon emissions during manufacturing to integrate environmental concerns. We assume that the company has the capability to trade the surplus carbon capacity it hasn't produced. This study offers a comprehensive framework that incorporates former research that addresses warm-up process, carbon emissions, shortages, and defective items. To solve the proposed non-linear programming problem with inequality constraints, we employ the Karush-Kuhn-Tucker (KKT) conditions method to determine the optimal solutions. Managerial insights are derived, and sensitivity analysis highlights the effects of the system parameters on the decision variables. The sensitivity analysis results indicate that the carbon trading cost has a significant impact on the overall cost, and subsequently, the company's profit.

快节奏的市场要求所有供应链代理进行复杂的互动,以满足客户的需求。制造业在生产量和平稳交付率方面面临一些困难。技术专家发现,生产运行前的预热期有助于解决这些难题,并提高机床在制造过程中的工作性能。使用预热过程可以减少次品(一种不利的生产结果),提高运行效率。此外,商品供应短缺也会给库存管理决策带来困难,造成上述同样的生产问题。对预热过程的考虑最近已被纳入运筹学研究范围,但有必要研究其与短缺的相互作用。本研究提出了一个系统,在该系统中,生产环境在初始阶段利用了预热过程,并允许在生产期间出现短缺,此外,本研究还考虑了生产过程中的碳排放,以整合环境问题。我们假设公司有能力交易未生产的剩余碳容量。本研究提供了一个综合框架,其中包含了之前针对预热过程、碳排放、短缺和次品等问题的研究。为了解决所提出的带有不等式约束的非线性编程问题,我们采用了卡鲁什-库恩-塔克(KKT)条件法来确定最优解。我们得出了管理启示,并通过敏感性分析强调了系统参数对决策变量的影响。敏感性分析结果表明,碳交易成本对总体成本有重大影响,进而影响公司利润。
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引用次数: 0
Introduction to the SI “Advances in operations research and machine learning focused on pandemic dynamics” SI“专注于流行病动力学的运筹学和机器学习进展”简介
IF 2.5 4区 管理学 Q1 Mathematics Pub Date : 2023-12-01 DOI: 10.1016/j.orp.2023.100287
Massimiliano Ferrara , Ali Ahmadian , Soheil Salashour , Bruno Antonio Pansera
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引用次数: 0
Deep reinforcement learning based medical supplies dispatching model for major infectious diseases: Case study of COVID-19 基于深度强化学习的重大传染病医疗物资调度模型——以2019冠状病毒病为例
IF 2.5 4区 管理学 Q1 Mathematics Pub Date : 2023-12-01 DOI: 10.1016/j.orp.2023.100293
Jia-Ying Zeng , Ping Lu , Ying Wei , Xin Chen , Kai-Biao Lin

Stockpiling and scheduling plans for medical supplies represent essential preventive and control measures in major public health events. In the face of major infectious diseases, such as the novel coronavirus disease (COVID-19), the outbreak trend and variability of disease strains are often unpredictable. Hence, it is necessary to optimally adjust the prevention and control dispatching strategy according to the circumstances and outbreak locations to maintain economic development while ensuring the human health survival, however, many models in this scenario seldom consider the dynamic material prediction and the measurement of multiple costs at the same time. Taking the COVID-19 scenario as a case study, we establish a deep reinforcement learning (DRL)-based medical supplies dispatching (MSD) model for major infectious diseases, considering the volatility of the COVID-19 situation and the discrepancy between medical material demand and supply due to the high infectiousness of the Omicron series strains. The present model has three main components: 1) First, for the dynamic medical material prediction problem in complex infectious disease scenarios, taking the lifted COVID-19 lockdown scenario as an example, the modified susceptible-exposed-infected-recovered (SEIR) model was utilized to analyze the spread of the COVID-19, understand its characteristics, and map out the related medical supplies demand; 2) Second, to break away from the previous premise of only considering supply-demand, this study adds scheduling rules and cost function that weighs health and economic costs. An epidemic dispatching optimization model (Epi_DispatchOptim) was established using the OpenAI Gym toolkit to form an environment structure with virus transmission space, and emergency MSD while considering both human health and economic costs. This architecture interprets the balance between the supply-demand of medical supplies and reflects the importance of MSD in the balanced development of health and economy under the spread of infectious diseases; 3) Finally, the MSD strategy under the balance of health and economic cost is explored in Epi_DispatchOptim using reinforcement learning (RL) and the evolutionary algorithm (EA). Experiments conducted on two datasets indicate that the RL and EA reduce economic as well as health costs compared to the original environmental strategies. The above study illustrates how to use epidemiological models to predict the demand for healthcare supplies as the premise of scheduling models, and use Epi_DispatchOptim to explore the dynamic MSD decisions under mortality and economic equilibrium. In Shanghai, China, the economic cost of the exploration strategy is reduced by 27.36–27.07B compared to static scheduling, and deaths are reduced by 126–150 in 150 day compared to the no-intervention scenario. By integrating knowledge of epidemiology, optimal decision making, and economics, Epi_DispatchOptim further constructs epidemiologica

医疗用品的储存和调度计划是重大公共卫生事件中必不可少的预防和控制措施。面对新型冠状病毒病(COVID-19)等重大传染病,疾病毒株的爆发趋势和变异往往是不可预测的。因此,在保证人类健康生存的同时,需要根据具体情况和疫情发生地对防控调度策略进行优化调整,但这种情况下的许多模型很少同时考虑动态物质预测和多重成本的测量。以新冠肺炎疫情为例,考虑新冠肺炎疫情的波动性和欧米克隆系列菌株高传染性导致的医疗物资供需差异,建立了基于深度强化学习(DRL)的重大传染病医疗物资调度模型。该模型主要由三个部分组成:1)首先,针对复杂传染病场景下的动态物资预测问题,以新冠肺炎解除封锁场景为例,利用改进的易感暴露感染恢复(SEIR)模型分析新冠肺炎的传播情况,了解疫情特征,规划相关医疗物资需求;2)其次,打破了以往只考虑供需的前提,增加了调度规则和权衡健康成本和经济成本的成本函数。利用OpenAI Gym工具包建立疫情调度优化模型Epi_DispatchOptim,在考虑人类健康和经济成本的情况下,形成病毒传播空间和应急MSD的环境结构。这一体系结构诠释了医疗用品供需平衡,反映了传染病传播下MSD在卫生与经济平衡发展中的重要性;3)最后,利用强化学习(RL)和进化算法(EA)探讨了Epi_DispatchOptim在健康和经济成本平衡下的MSD策略。在两个数据集上进行的实验表明,与原始环境策略相比,RL和EA降低了经济和健康成本。本文以流行病学模型预测医疗物资需求为调度模型的前提,利用Epi_DispatchOptim研究死亡率和经济均衡下的动态MSD决策。在中国上海,与静态调度相比,该勘探策略的经济成本降低了27.36-27.07B,与不干预方案相比,150天内死亡人数减少了126-150人。Epi_DispatchOptim通过整合流行病学、最优决策和经济学知识,进一步构建流行病学模型、成本函数、状态-行动空间等模块,帮助公共卫生决策者在重大公共卫生事件中采取适当的MSD策略。
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Operations Research Perspectives
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