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Optimal Allocation of Multi-Type Vaccines in a Two-Dose Vaccination Campaign for Epidemic Control: A Case Study of COVID-19 在流行病控制的两剂疫苗接种活动中优化多类型疫苗的分配:COVID-19 案例研究
IF 1.9 4区 社会学 Q1 SOCIAL SCIENCES, INTERDISCIPLINARY Pub Date : 2024-08-05 DOI: 10.3390/systems12080286
Jin Zhu, Qing Wang, Min Huang
As a typical case of the optimal planning for the provision of restricted medical resources, widespread vaccination is considered an effective and sustainable way to prevent and control large-scale novel coronavirus disease 2019 (COVID-19) outbreaks. However, an initial supply shortage of vaccines is inevitable because of the narrow production and logistical capacity. This work focuses on the multi-type vaccine resource allocation problem in a two-dose vaccination campaign under limited supply. To address this issue, we extended an age-stratified susceptible, exposed, infectious, and recovered (SEIR) epidemiological model to incorporate a two-dose vaccination campaign involving multiple vaccine types to fully characterize the various stages of infection and vaccination. Afterward, we integrated the proposed epidemiological model into a nonlinear programming (NLP) model to determine the optimal allocation strategy under supply capacity and vaccine hesitancy constraints with the goal of minimizing the cumulative number of deaths due to the pandemic over the entire planning horizon. A case study based on real-world data from the initial mass vaccination campaign against COVID-19 in the Midlands, England, was taken to validate the applicability of our model. Then, we performed a comparative study to demonstrate the performance of the proposed method and conducted an extensive sensitivity analysis on critical model parameters. Our results indicate that prioritizing the allocation of vaccines to elderly persons is an effective strategy for reducing COVID-19-related fatalities. Furthermore, we found that vaccination alone will not be sufficient for epidemic control in the short term, and appropriate non-pharmacological interventions are still important for effective viral containment during the initial vaccine rollout. The results also showed that the relative efficacy of the first dose is a vital factor affecting the optimal interval between doses. It is always best to complete the two-dose vaccination schedule as soon as possible when the relative efficacy of the first dose is low. Conversely, delaying the second dose of a vaccine as long as possible to increase the proportion of the population vaccinated with a single dose tends to be more favorable when the relative efficacy of the first dose is high. Finally, our proposed model is general and easily extendable to the study of other infectious disease outbreaks and provides important implications for public health authorities seeking to develop effective vaccine allocation strategies for tackling possible future pandemics.
作为对有限的医疗资源进行优化规划的典型案例,广泛接种疫苗被认为是预防和控制 2019 年新型冠状病毒病(COVID-19)大规模爆发的有效且可持续的方法。然而,由于生产和物流能力有限,初期疫苗供应短缺在所难免。这项工作的重点是在供应有限的情况下,两剂疫苗接种活动中的多类型疫苗资源分配问题。为解决这一问题,我们扩展了年龄分层的易感、暴露、感染和康复(SEIR)流行病学模型,将涉及多种疫苗类型的两剂疫苗接种活动纳入其中,以充分描述感染和接种的各个阶段。随后,我们将提出的流行病学模型整合到非线性编程(NLP)模型中,以确定在供应能力和疫苗犹豫约束条件下的最优分配策略,目标是在整个规划期限内最大限度地减少大流行导致的累计死亡人数。为了验证模型的适用性,我们基于英国中部地区针对 COVID-19 的初期大规模疫苗接种活动的实际数据进行了案例研究。然后,我们进行了一项比较研究,以证明所提方法的性能,并对模型的关键参数进行了广泛的敏感性分析。我们的研究结果表明,优先为老年人接种疫苗是减少 COVID-19 相关死亡事故的有效策略。此外,我们还发现,仅靠疫苗接种不足以在短期内控制疫情,适当的非药物干预措施对于在疫苗推广初期有效遏制病毒仍很重要。结果还显示,第一剂疫苗的相对效力是影响疫苗最佳间隔时间的重要因素。当第一剂疫苗的相对效力较低时,最好尽快完成两剂疫苗接种计划。相反,当第一剂疫苗的相对效力较高时,尽可能推迟第二剂疫苗的接种时间以提高单剂疫苗的接种比例往往更为有利。最后,我们提出的模型具有通用性,很容易扩展到其他传染病暴发的研究中,并为公共卫生部门制定有效的疫苗分配策略以应对未来可能出现的大流行病提供了重要的启示。
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引用次数: 0
Complex-Systems Analysis of the CSI 300 Index: Evolution, Resilience, and Prediction in Stock Correlation Network 沪深 300 指数的复杂系统分析:股票相关网络中的演化、弹性和预测
IF 1.9 4区 社会学 Q1 SOCIAL SCIENCES, INTERDISCIPLINARY Pub Date : 2024-08-05 DOI: 10.3390/systems12080285
Xinyuan Luo, Jian Yin, Danqi Wei
With the outbreak and evolution of the pandemic worldwide, the financial market has experienced unprecedented shocks and adjustments, and the volatility and correlation of the stock market, as an important indicator of economic activities, have shown new features and trends during the pandemic. Based on the CSI 300 Index, we construct a three-stage sequential network representing the pre-pandemic, pandemic, and post-relaxation phases. We investigate the evolving dynamics and resilience of the network, forecasting potential future connections, thus offering fresh insights into comprehending market recovery. Our findings unveil that the market adapts dynamically to the pandemic’s progression, witnessing an overall augmentation in network interconnectedness. While the financial sector maintains its pivotal role, the influence of non-financial sectors experiences an upsurge. Despite the network demonstrating poor stability and heavy reliance on key nodes, there exists a positive recovery trajectory. Non-financial sectors such as energy and transportation emerge as pivotal catalysts for market rejuvenation. We provide suggestions for government regulators and investors, providing strong support for optimizing the market structure and promoting the long-term healthy development of the market.
随着疫情在全球范围内的爆发和演变,金融市场经历了前所未有的震荡和调整,股票市场作为经济活动的重要指标,其波动性和相关性在疫情期间呈现出新的特征和趋势。我们以沪深 300 指数为基础,构建了代表大流行前、大流行和大流行后三个阶段的序列网络。我们研究了该网络不断变化的动态和复原力,预测了未来潜在的联系,从而为理解市场复苏提供了新的见解。我们的研究结果表明,市场能动态地适应大流行病的发展,见证了网络互连性的整体增强。在金融部门保持其关键作用的同时,非金融部门的影响力也在上升。尽管网络的稳定性较差,且严重依赖关键节点,但仍出现了积极的复苏轨迹。能源和交通等非金融行业成为市场复兴的关键催化剂。我们为政府监管部门和投资者提供建议,为优化市场结构、促进市场长期健康发展提供有力支持。
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引用次数: 0
Measuring the Impact of COVID-19 Vaccination Rates on Carbon Emissions Using LightGBM Model: Evidence from the EU Region 利用 LightGBM 模型衡量 COVID-19 疫苗接种率对碳排放的影响:欧盟地区的证据
IF 1.9 4区 社会学 Q1 SOCIAL SCIENCES, INTERDISCIPLINARY Pub Date : 2024-08-04 DOI: 10.3390/systems12080284
Xinran Yue, Yan Li
COVID-19 vaccination status has become a significant factor influencing carbon emissions in recent years. This paper explores the relationship between vaccination programs and CO2 emissions to provide scientific support for future emergency management. The study utilizes daily carbon emissions data and daily vaccination program data from six sectors within the European Union. It compares the accuracy of various machine learning models by incorporating 11 economic control variables. Additionally, it quantitatively decomposes the contribution of each variable to carbon emissions during the pandemic using SHAP values. The findings indicate that the LightGBM model predicts carbon emissions much more accurately than other models. Furthermore, COVID-19-related variables, such as daily vaccination volumes and cumulative vaccination totals, are identified as significant factors affecting carbon emissions.
近年来,COVID-19 疫苗接种情况已成为影响碳排放的一个重要因素。本文探讨了疫苗接种计划与二氧化碳排放之间的关系,为未来的应急管理提供科学支持。研究利用了欧盟六个部门的每日碳排放数据和每日疫苗接种计划数据。通过纳入 11 个经济控制变量,比较了各种机器学习模型的准确性。此外,它还利用 SHAP 值对每个变量在大流行期间对碳排放的贡献进行了定量分解。研究结果表明,LightGBM 模型比其他模型更准确地预测了碳排放量。此外,与 COVID-19 相关的变量,如每日疫苗接种量和累计疫苗接种总量,被认为是影响碳排放的重要因素。
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引用次数: 0
Low-Carbon Supply Chain Decision-Making and CSR Strategy Evolution Analysis Considering Heterogeneous Consumer Preferences 考虑异质消费者偏好的低碳供应链决策与企业社会责任战略演变分析
IF 1.9 4区 社会学 Q1 SOCIAL SCIENCES, INTERDISCIPLINARY Pub Date : 2024-08-03 DOI: 10.3390/systems12080283
Jinghua Zhao, Ruishu Zhang, Zhuang Wang, Shaoyun Cui
Decision-making regarding the low-carbon supply chain, considering corporate social responsibility (CSR) and the heterogeneous preferences of consumers, has become an urgent topic to be explored. This paper explores the decision-making problem of a low-carbon supply chain considering the heterogeneous preferences of consumers under different CSR situations, analyzes the influence of important parameters on each equilibrium solution, compares the size relationship of each equilibrium solution under different CSR situations, and verifies the conclusions obtained through numerical simulation. Then, based on the obtained equilibrium solution, a CSR evolutionary game model of the low-carbon supply chain is constructed, and the evolutionary stability strategies of the two sides on the CSR game are solved. Finally, the evolutionary trajectory of the game system is intuitively presented using a simulation method, and the influence of the main parameters on the evolutionary trends of the two sides is analyzed. The findings are as follows: (1) When both manufacturers and retailers undertake CSR, the retail price and wholesale price are their lowest, while carbon emission reduction, total market demand, manufacturer utility, retailer utility, and supply chain total utility are the highest. (2) When a company undertakes CSR, carbon emission reduction, total market demand, manufacturer utility, retailer utility, and supply chain total utility all increase with the increase in the CSR degree of the company and the ratio of the potential scale of low-carbon consumers to the potential scale of ordinary consumers. (3) The evolutionary stability strategy for both manufacturers and retailers is to undertake CSR. In addition, the initial proportion of manufacturers and retailers that undertake CSR, the low-carbon preference of low-carbon consumers, and the increase in the ratio of the potential scale of low-carbon consumers to the potential scale of ordinary consumers can encourage both members of the supply chain to undertake CSR.
考虑企业社会责任(CSR)和消费者异质性偏好的低碳供应链决策已成为亟待探讨的课题。本文探讨了不同企业社会责任情况下考虑消费者异质性偏好的低碳供应链决策问题,分析了重要参数对各均衡解的影响,比较了不同企业社会责任情况下各均衡解的大小关系,并通过数值模拟验证了所得结论。然后,根据得到的均衡解,构建了低碳供应链的企业社会责任演化博弈模型,并求解了企业社会责任博弈双方的演化稳定策略。最后,利用仿真方法直观地呈现了博弈系统的演化轨迹,并分析了主要参数对双方演化趋势的影响。研究结果如下(1)当生产商和零售商都承担企业社会责任时,零售价和批发价最低,碳减排量、市场总需求、生产商效用、零售商效用和供应链总效用最高;(2)当企业承担企业社会责任时,碳减排量、市场总需求、生产商效用、零售商效用和供应链总效用都随着企业社会责任程度和低碳消费者潜在规模与普通消费者潜在规模之比增加而增加;(3)当企业承担企业社会责任时,碳减排量、市场总需求、生产商效用、零售商效用和供应链总效用都随着企业社会责任程度和低碳消费者潜在规模与普通消费者潜在规模之比增加而增加。(3)制造商和零售商的稳定演化策略都是承担企业社会责任。此外,生产商和零售商承担企业社会责任的初始比例、低碳消费者的低碳偏好以及低碳消费者潜在规模与普通消费者潜在规模之比的增加,都会促使供应链成员承担企业社会责任。
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引用次数: 0
Exploring Intrinsic Motivation and Mental Well-Being in Private Higher Educational Systems: A Cross-Sectional Study 探索私立高等教育系统中的内在动机和心理健康:横断面研究
IF 1.9 4区 社会学 Q1 SOCIAL SCIENCES, INTERDISCIPLINARY Pub Date : 2024-08-02 DOI: 10.3390/systems12080281
Fayyaz Qureshi, Sarwar Khawaja, Katarina Sokić, Mirjana Pejić Bach, Maja Meško
In the realm of digital transformation, effective leadership and motivation are pivotal for organisations navigating the complexities of today’s systems. This study explores the intersection of intrinsic motivation and mental well-being among mature students—an analogy that sheds light on strategies applicable to organisational contexts. In developed nations like the UK, mental health for mature students is increasingly recognised as a crucial component of their educational journey. Mature students, who typically enrol in higher education after an educational gap and upon turning 21, often face specific challenges that can impact their mental well-being while pursuing academic goals. The primary objective of our study was to assess the relationship between intrinsic motivation and the mental well-being of mature students. The study included 248 full-time undergraduate mature students enrolled in private higher education institutions in the UK. These participants were 21 years and older. The research employed two measurement scales: the four-item Intrinsic Motivation Scale, adapted from Jaramillo, and the Warwick–Edinburgh Mental Well-Being Scale. Data collection utilised online Google Forms with multiple choice self-report formatted questions, and our analysis involved both descriptive and inferential statistics. Our research revealed a significant positive correlation between variables of intrinsic motivation and mental well-being. Confirmatory factor analysis (CFA) results confirmed the construct in the model. The results indicated that intrinsic motivation significantly predicts mental well-being among mature students (Cohen’s effect size value, f2 = 0.54). Recognising and addressing the unique difficulties individuals encounter and providing appropriate support can enhance their well-being and contribute to the overall success of the higher education community.
在数字化转型领域,有效的领导力和激励对于组织驾驭当今复杂的系统至关重要。本研究探讨了成熟学生的内在动力与心理健康之间的交叉点--这一类比揭示了适用于组织环境的策略。在英国等发达国家,成年学生的心理健康日益被视为其教育历程中的一个重要组成部分。成年学生通常是在经历了教育空白期和年满 21 岁之后才接受高等教育的,他们在追求学业目标的过程中往往会面临一些特定的挑战,这些挑战可能会影响他们的心理健康。我们研究的主要目的是评估内在动机与成年学生心理健康之间的关系。研究对象包括 248 名就读于英国私立高等教育机构的全日制本科成年学生。这些参与者年龄在 21 岁及以上。研究采用了两个测量量表:改编自 Jaramillo 的四项目内在动机量表和 Warwick-Edinburgh 心理健康量表。数据收集采用了在线谷歌表格和多选自我报告格式问题,我们的分析包括描述性和推论性统计。我们的研究表明,内在动机变量与心理健康之间存在明显的正相关。确认性因子分析(CFA)结果证实了模型中的构造。结果表明,内在动机对成熟期学生的心理健康有明显的预测作用(科恩效应大小值,f2 = 0.54)。认识和解决个人遇到的独特困难并提供适当的支持,可以提高他们的幸福感,并有助于高等教育界的整体成功。
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引用次数: 0
Engineering Systems with Standards and Digital Models: Development of a 15288-SysML Grid 利用标准和数字模型进行系统工程:开发 15288-SysML 网格
IF 1.9 4区 社会学 Q1 SOCIAL SCIENCES, INTERDISCIPLINARY Pub Date : 2024-07-31 DOI: 10.3390/systems12080276
Kevin MacG. Adams, Irfan Ibrahim, Steven Krahn
The paradigm shift that has spurred the fourth industrial revolution, in what is termed Industry 4.0, has ushered in the need to adopt digital technologies throughout the worldwide industrial base to support system design efforts. The adoption of digital technologies with a digital enterprise and the creation of cyber–physical systems are central tenets of Industry 4.0 and directly support profitable business models, improvements in efficiency, and ensure durable quality for the modern industrial base. However, the techniques for engineering systems require new, improved, digital life cycle process models if Industry 4.0—and the goals for its integrated systems—are to be realized. The development of a technique that improves the life cycles for systems within the digital enterprise is required. The 15288-SysML Grid described herein supports the Industry 4.0 paradigm and its associated digital enterprise. This is accomplished through (1) the application of a modern life cycle process model (i.e., the adapted diamond); (2) the utilization of international standards for systems; and (3) the adoption of the four fundamental aspects of system design supported by model-based systems engineering (MBSE) and the systems modeling language (SysML).
第四次工业革命(即所谓的工业 4.0)所带来的模式转变,使得全球工业基础都需要采用数字技术来支持系统设计工作。在数字化企业中采用数字技术和创建网络物理系统是工业 4.0 的核心原则,可直接支持盈利的商业模式、提高效率并确保现代工业基地的持久质量。然而,要实现工业 4.0 及其集成系统的目标,工程系统的技术需要新的、改进的数字化生命周期流程模型。我们需要开发一种技术,以改进数字化企业中的系统生命周期。本文介绍的 15288-SysML 网格支持工业 4.0 范式及其相关的数字化企业。这是通过以下方式实现的:(1) 应用现代生命周期流程模型(即经调整的钻石模型);(2) 采用国际系统标准;(3) 采用基于模型的系统工程(MBSE)和系统建模语言(SysML)所支持的系统设计的四个基本方面。
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引用次数: 0
A Robust Optimization Model for Emergency Location Considering the Uncertainty and Correlation of Transportation Network Capacity 考虑到交通网络容量的不确定性和相关性的应急定位稳健优化模型
IF 1.9 4区 社会学 Q1 SOCIAL SCIENCES, INTERDISCIPLINARY Pub Date : 2024-07-31 DOI: 10.3390/systems12080277
Baixu Jiang, Yan Song
Emergencies often lead to the impairment of infrastructure systems, including transportation systems. It is necessary to analyze the uncertainty and correlation of transportation network capacity caused by emergencies, aiming at the problems of emergency facilities’ location and matching in emergency contexts. This study introduces novel concepts, such as flow distribution betweenness centrality (FD-BC) and the transport capacity effect coefficient (TC-EC). Furthermore, we introduce the ellipsoidal uncertainty set to characterize uncertainties in transport capacity. We construct a multi-criteria decision-making (MCDM) model and a multi-strength elitist genetic algorithm (multi-SEGA) to ensure the lower limit of transport capacity between demand and emergency points while minimizing decision-making costs. By designing an uncertain scenario example, we analyze the effect of the perturbation ratio and the uncertainty level on the robust location model. The following results were drawn: (1) Indicators FD-BC and TC-EC effectively indicated the importance of each section in the emergency transportation network. (2) The optimal value of the model’s objective function changed more significantly as the perturbation ratio and uncertainty level increased. (3) After reaching a certain uncertainty level, the robust model with an ellipsoidal uncertainty set became more conservative than the robust model with a box uncertainty set, which lacked practical significance. The research results guarantee the robustness of the emergency support system in uncertain conditions.
突发事件往往会导致包括交通系统在内的基础设施系统受损。针对突发事件中应急设施的选址和匹配问题,有必要分析突发事件导致的交通网络容量的不确定性和相关性。本研究引入了流量分布间度中心性(FD-BC)和运输能力效应系数(TC-EC)等新概念。此外,我们还引入了椭圆不确定性集来描述运输能力的不确定性。我们构建了一个多标准决策(MCDM)模型和一个多强度精英遗传算法(multi-strength elitist genetic algorithm,multi-SEGA),以确保需求点和应急点之间的运输能力下限,同时使决策成本最小化。通过设计一个不确定场景实例,我们分析了扰动率和不确定性水平对稳健定位模型的影响。结果如下:(1) FD-BC 和 TC-EC 指标有效地表明了应急交通网络中每个路段的重要性。(2) 随着扰动比和不确定性水平的增加,模型目标函数的最优值发生了更明显的变化。(3)在达到一定的不确定性水平后,椭圆不确定性集的鲁棒模型比方框不确定性集的鲁棒模型更加保守,缺乏实际意义。研究结果保证了应急支持系统在不确定条件下的鲁棒性。
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引用次数: 0
Evaluating User Engagement in Online News: A Deep Learning Approach Based on Attractiveness and Multiple Features 评估用户在网络新闻中的参与度:基于吸引力和多重特征的深度学习方法
IF 1.9 4区 社会学 Q1 SOCIAL SCIENCES, INTERDISCIPLINARY Pub Date : 2024-07-30 DOI: 10.3390/systems12080274
Guohui Song, Yongbin Wang, Xiaosen Chen, Hongbin Hu, Fan Liu
Online news platforms have become users’ primary information sources. However, they focus on attracting users to click on the news and ignore whether the news triggers a sense of engagement, which could potentially reduce users’ participation in public events. Therefore, this study constructs four indicators by assessing user engagement to build an intelligent system to help platforms optimize their publishing strategies. First, this study defines user engagement evaluation as a classification task that divides user engagement into four indicators and proposes an extended LDA model based on user click–comment behavior (UCCB), using which the attractiveness of words in news headlines and content can be effectively represented. Second, this study proposes a deep user engagement evaluation (DUEE) model that integrates news attractiveness and multiple features in an attention-based deep neural network for user engagement evaluation. The DUEE model considers various elements that collectively determine the ability of the news to attract clicks and engagement. Third, the proposed model is compared with the baseline and state-of-the-art techniques, showing that it outperforms all existing methods. This study provides new research contributions and ideas for improving user engagement in online news evaluation.
网络新闻平台已成为用户的主要信息来源。然而,它们只注重吸引用户点击新闻,而忽视了新闻是否引发了用户的参与感,这有可能降低用户对公共事件的参与度。因此,本研究通过评估用户参与度构建了四个指标,以构建一个智能系统,帮助平台优化其发布策略。首先,本研究将用户参与度评估定义为一项分类任务,将用户参与度分为四个指标,并提出了基于用户点击-评论行为(UCCB)的扩展 LDA 模型,利用该模型可以有效地表示新闻标题和内容中词语的吸引力。其次,本研究提出了一种深度用户参与度评价(DUEE)模型,将新闻吸引力和多种特征整合到基于注意力的深度神经网络中,用于用户参与度评价。DUEE 模型考虑了各种因素,这些因素共同决定了新闻吸引点击和参与的能力。第三,将所提出的模型与基线和最先进的技术进行了比较,结果表明该模型优于所有现有方法。这项研究为提高网络新闻评估中的用户参与度提供了新的研究成果和思路。
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引用次数: 0
Evolutionary Game Analysis of Government–Enterprise Collaboration in Coping with Natech Risks 政府与企业合作应对 Natech 风险的进化博弈分析
IF 1.9 4区 社会学 Q1 SOCIAL SCIENCES, INTERDISCIPLINARY Pub Date : 2024-07-30 DOI: 10.3390/systems12080275
Shaojun Guo, Wei Feng, Guirong Zhang, Ying Wen
The synergistic interaction between emergency management departments and enterprises constitutes a fundamental mechanism for mitigating the risks of technological accidents caused by natural disasters (Natech). The efficacy of this collaborative approach is impacted by comprehensive risk analyses and the game between government and enterprise. Predicated on these premises, the evolutionary game analysis of government–enterprise collaboration in coping with Natech risk was carried out. Firstly, an evolutionary game model of government–enterprise collaboration in coping with Natech risk was constructed. Secondly, the evolutionary stability strategy (ESS) was developed. Finally, these strategies were substantiated through numerical simulations. The findings revealed that at lower levels of Natech risk, enterprises will choose low investment in coping capacity building, and emergency management departments will choose delayed disposal. Under moderate Natech risk, enterprises will increase their investments if emergency management departments persist with delayed strategies, and emergency management departments will react proactively if enterprises persist with low investment. Under a high Natech risk, a pattern of strategic misalignment emerges between the two entities. This study contributes a theoretical basis for the optimization of government–enterprise collaboration in coping with Natech risks.
应急管理部门与企业之间的协同互动是降低自然灾害(Natech)引发的技术事故风险的基本机制。全面的风险分析和政府与企业之间的博弈影响着这种合作方式的成效。在此前提下,我们对政企合作应对 Natech 风险进行了演化博弈分析。首先,构建了政企合作应对 Natech 风险的演化博弈模型。其次,制定了进化稳定策略(ESS)。最后,通过数值模拟证实了这些策略。研究结果表明,在较低的纳特奇风险水平下,企业会选择较低的应对能力建设投资,应急管理部门会选择延迟处置。在中度 Natech 风险下,如果应急管理部门坚持延迟策略,企业将增加投资;如果企业坚持低投资,应急管理部门将积极应对。在高 Natech 风险下,两个实体之间会出现战略错位。本研究为优化政企合作应对 Natech 风险提供了理论依据。
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引用次数: 0
A Pricing Model Study of Shared Parking Area Charge Based on Game Theory 基于博弈论的共享停车区域收费定价模型研究
IF 1.9 4区 社会学 Q1 SOCIAL SCIENCES, INTERDISCIPLINARY Pub Date : 2024-07-27 DOI: 10.3390/systems12080269
Chao Sun, Haodong Jing, Haowei Yin
In this study, a tripartite decision-making parking pricing model was developed based on Game Theory to comprehensively reflect the impact of parking pricing on private car travelers, parking lot operators, and traffic managers. Utility theory is introduced to analyze the behavioral characteristics of the tripartite participants in parking pricing. A parking behavior model for private car travelers, an operating profit model for parking lot operators, and a social negative utility model for traffic managers are established. This article presents an analysis of the mutual influence between them based on a game theory perspective and introduces parking saturation and road saturation as new factors influencing parking pricing to address the interactive relationship among the tripartite participants. A parking pricing model based on tripartite games is established, and a solution algorithm is designed. The results indicate that when the parking fee rates for the two public parking lots in the scenario are 8.5 CNY/h and 9 CNY/h, respectively, the parking demand is 300, and the sum of the total travel costs of private car travelers and the total operating profits are CNY 20,589 and 2187.9, respectively. The parking saturation of the public parking lot and the difference between the expected value is minimized to 0.25, and the road saturation and the difference between the expected value are minimized to 1.48, which is the parking pricing plan that minimizes the conflicts of interest among the tripartite stakeholders in the tripartite game. The parking pricing model of a public parking lot provides a reference for formulating parking fee strategies that comprehensively reflect the needs of the three parties involved in the public parking lot.
本研究以博弈论为基础,建立了停车定价三方决策模型,以全面反映停车定价对私家车出行者、停车场经营者和交通管理者的影响。引入效用理论分析停车定价三方参与者的行为特征。建立了私家车出行者的停车行为模型、停车场经营者的经营利润模型和交通管理者的社会负效用模型。本文基于博弈论的视角分析了它们之间的相互影响,并引入停车饱和度和道路饱和度作为影响停车定价的新因素,以解决三方参与者之间的互动关系。建立了基于三方博弈的停车定价模型,并设计了求解算法。结果表明,当情景中两个公共停车场的停车费率分别为 8.5 元/小时和 9 元/小时时,停车需求为 300,私家车出行者的总出行成本和总经营利润之和分别为 20589 元和 2187.9 元。公共停车场的停车饱和度与期望值之差最小为 0.25,道路饱和度与期望值之差最小为 1.48,是三方博弈中三方利益相关者利益冲突最小的停车定价方案。公共停车场的停车定价模型为制定全面反映公共停车场三方需求的停车收费策略提供了参考。
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