Mathematics

Research

27 pages, 2523 KiB

Open AccessArticle

Identifying Key Factors and Strategies for Optimizing Automated External Defibrillator Deployment in China

by Jiang Du, Yuchao Du, Yu Zhang, Yiming Liu and Dapeng Wei

Mathematics 2024, 12(18), 2829; https://doi.org/10.3390/math12182829 - 12 Sep 2024

Viewed by 1011

The survivability of out-of-hospital cardiac arrest patients in China is notably low, at less than 1%, primarily due to difficulties in accessing nearby Automated External Defibrillator (AED) devices during emergencies. Therefore, the strategic deployment of AEDs is crucial for improving patient survival. This [...] Read more.

The survivability of out-of-hospital cardiac arrest patients in China is notably low, at less than 1%, primarily due to difficulties in accessing nearby Automated External Defibrillator (AED) devices during emergencies. Therefore, the strategic deployment of AEDs is crucial for improving patient survival. This study adopts a novel hybrid methodology that integrates the Fuzzy Analytic Network Process (FANP) and Grey Relational Analysis (GRA) to assess and prioritize the critical factors for optimizing AED deployment in China. In the FANP model, the rate of cardiopulmonary resuscitation training among individuals in the area, the rate of AED training among individuals in the area, and records of AED device usage within the area are key factors for improving the effectiveness of AED deployment. Furthermore, in the GRA model, the factors with higher gray relational degrees are Visibility, Social Environment, and Accessibility. This analysis sheds light on which secondary indicators can have the most significant impact on improving specific primary indicators. The insights from this study can guide the optimization of AED deployment strategies in China and offer practical solutions for enhancing the deployment of relevant public medical facilities. Full article

(This article belongs to the Special Issue Practice and Application of Emergency Management in Social Systems: Mathematical Modeling and the Use of Information Technology)

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24 pages, 2387 KiB

Open AccessArticle

Ranking of Service Quality Index and Solutions for Online English Teaching in the Post-COVID-19 Crisis

by Yu-Yu Ma, Chia-Liang Lin and Hung-Lung Lin

Mathematics 2023, 11(18), 4001; https://doi.org/10.3390/math11184001 - 20 Sep 2023

Cited by 4 | Viewed by 1789

Abstract

Online English teaching remains prevalent post-pandemic, yet there is a significant research gap in assessing service quality during this period. Thus, this study employs a hybrid FANP and GRA method to evaluate critical factors sustaining high service quality in online English teaching in [...] Read more.

Online English teaching remains prevalent post-pandemic, yet there is a significant research gap in assessing service quality during this period. Thus, this study employs a hybrid FANP and GRA method to evaluate critical factors sustaining high service quality in online English teaching in the post-coronavirus era. The FANP model highlights key contributors like professional employees, trustworthy staff, flexible transaction times, and a secure transaction environment. In contrast, GRA identifies personnel quality, responsiveness to customer needs, and a secure transaction mechanism as top factors. Individual customer needs and service facilities are of less importance in both models. This study’s primary contribution is proposing an integrated FANP and GRA approach to rank potential solutions for online English teaching service quality in the post-COVID-19 fuzzy context. The findings guide the online English teaching industry in maintaining service quality in future similar scenarios. Full article

(This article belongs to the Special Issue Practice and Application of Emergency Management in Social Systems: Mathematical Modeling and the Use of Information Technology)

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12 pages, 1167 KiB

Open AccessArticle

Risk Analysis of the Chinese Financial Market with the Application of a Novel Hybrid Volatility Prediction Model

by Weibin Wang and Yao Wu

Mathematics 2023, 11(18), 3937; https://doi.org/10.3390/math11183937 - 16 Sep 2023

Cited by 3 | Viewed by 1835

Abstract

This paper endeavors to enhance the prediction of volatility in financial markets by developing a novel hybrid model that integrates generalized autoregressive conditional heteroskedasticity (GARCH) models and long short-term memory (LSTM) neural networks. Using high-frequency data, we first estimate realized volatility as a [...] Read more.

This paper endeavors to enhance the prediction of volatility in financial markets by developing a novel hybrid model that integrates generalized autoregressive conditional heteroskedasticity (GARCH) models and long short-term memory (LSTM) neural networks. Using high-frequency data, we first estimate realized volatility as a robust measure of volatility. We then feed the outputs of multiple GARCH models into an LSTM network, creating a hybrid model that leverages the strengths of both approaches. The predicted volatility from the hybrid model is used to generate trading strategy signals, which are subsequently used to build an investment strategy. Empirical analysis using the China Securities Index 300 (CSI300) dataset demonstrates that the hybrid model significantly improves value-at-risk (VaR) prediction performance compared to traditional GARCH models. This study’s findings have broad implications for risk management in financial markets, suggesting that hybrid models incorporating mathematical models and economic mechanisms can enhance derivative pricing, portfolio risk management, hedging transactions, and systemic risk early-warning systems. Full article

(This article belongs to the Special Issue Practice and Application of Emergency Management in Social Systems: Mathematical Modeling and the Use of Information Technology)

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28 pages, 5353 KiB

Open AccessArticle

An Evaluation System for COVID-19 Vaccine Transportation Quality Based on Fuzzy Analytic Hierarchy Process

by Hung-Lung Lin, Yu-Yu Ma and Chin-Tsai Lin

Mathematics 2023, 11(18), 3914; https://doi.org/10.3390/math11183914 - 14 Sep 2023

Cited by 3 | Viewed by 1658

Abstract

COVID-19 vaccines have become pivotal in combating the pandemic since 2019. However, risks stemming from human errors, equipment malfunctions, and emergencies during cold-chain transportation can jeopardize vaccine security without effective safety standards. To ensure COVID-19 vaccine transportation safety, efficiency, and quality while mitigating [...] Read more.

COVID-19 vaccines have become pivotal in combating the pandemic since 2019. However, risks stemming from human errors, equipment malfunctions, and emergencies during cold-chain transportation can jeopardize vaccine security without effective safety standards. To ensure COVID-19 vaccine transportation safety, efficiency, and quality while mitigating risks, this study employed the modified Delphi method (MDM) to create a cold-chain vaccine transportation quality evaluation system. With the fuzzy analytic hierarchy process (FAHP), it then ranked indicator importance. The system comprises 5 criteria and 26 sub-criteria, highlighting factors like local weather conditions, topography, road characteristics, cold-chain logistics standardization, and national economic development. These significantly impact vaccine transport quality and risk. Regional authorities are advised to address these high-priority indicators by enhancing equipment, refining operational procedures, strengthening monitoring, offering training, etc. This comprehensive approach could minimize potential transportation setbacks, ensuring vaccine safety and quality. Crucially, this system offers valuable insights for health policies, transportation bodies, and companies. It sets safety benchmarks for cold-chain vaccine transportation and can be extended to other vaccines or medicines. This contribution is pivotal for future vaccine transportation management. Full article

(This article belongs to the Special Issue Practice and Application of Emergency Management in Social Systems: Mathematical Modeling and the Use of Information Technology)

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20 pages, 2363 KiB

Open AccessArticle

Research on the Service Quality Index and Alternatives Evaluation and Ranking for Online Yue Kiln Celadon Art Education in Post COVID-19 Era

by Jian Wan and Chia-Liang Lin

Mathematics 2023, 11(6), 1339; https://doi.org/10.3390/math11061339 - 9 Mar 2023

Cited by 6 | Viewed by 1806

Abstract

Online education has been still a common way for teaching and learning in the post epidemic era. However, the related research on service quality for the online Yue kiln celadon art education industry is still a vital research gap during this period. Thus, [...] Read more.

Online education has been still a common way for teaching and learning in the post epidemic era. However, the related research on service quality for the online Yue kiln celadon art education industry is still a vital research gap during this period. Thus, a hybrid method of FANP and GRA is proposed in this study to analyse and evaluate the key factors for providing and maintaining high service quality of online Yue kiln celadon art education industry in the post coronavirus era. In this research, whether in the model of FANP and GRA, factors such as safety mechanism of transaction and education, personnel quality, and the ability of customer need handling are essential conditions for providing excellent service quality in the post-COVID-19 era. The main contribution of this study is to propose an integrated method of FANP and GRA to calculate and rank potential solutions of online Yue kiln celadon art education service quality in the post-COVID-19 era under fuzzy environment and discrete conditions. Finally, the research findings of this study have a guiding role, thereby becoming a guide for the industries related to online Yue kiln celadon art education to maintain good service quality in similar scenarios in the future. Full article

(This article belongs to the Special Issue Practice and Application of Emergency Management in Social Systems: Mathematical Modeling and the Use of Information Technology)

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28 pages, 3894 KiB

Open AccessArticle

Ranking of Service Quality Solution for Blended Design Teaching Using Fuzzy ANP and TOPSIS in the Post-COVID-19 Era

by Chia-Liang Lin, Jwu-Jenq Chen and Yu-Yu Ma

Mathematics 2023, 11(5), 1255; https://doi.org/10.3390/math11051255 - 5 Mar 2023

Cited by 10 | Viewed by 2700

Abstract

The blended educational method has become a common way of teaching and learning in the post-COVID-19 era. However, the related research on the selection model for the blended design teaching service quality solution is still an important research gap during this period. Therefore, [...] Read more.

The blended educational method has become a common way of teaching and learning in the post-COVID-19 era. However, the related research on the selection model for the blended design teaching service quality solution is still an important research gap during this period. Therefore, this study proposed a hybrid method of fuzzy analytic network process (FANP) and technique for order preference by similarity to ideal solution (TOPSIS) to analyse the dimensions, indicators and alternatives of blended design teaching service quality. As for the findings of this research, the dimension of assurance is the most vital factor, followed by responsiveness, reliability and empathy. Meanwhile, this research discovered that the top three significant alternatives are “Employees are trustworthy”, “Safe transaction mechanism and environment” and “Personalised needs of customers”. Also, we found that dimensions utilised to evaluate the quality of education service are similar whether in the post COVID-19 era, in the COVID-19 epidemic or prior to the COVID-19 pandemic. The main contribution of this study is to establish a multi-criteria decision-making (MCDM) model for the ranking of the blended design teaching service quality index and solution under a fuzzy environment. Finally, the research findings of this study have a guiding role, thereby becoming a guide for the industries related to hybrid design education to maintain good service quality in similar scenarios in the future. Full article

(This article belongs to the Special Issue Practice and Application of Emergency Management in Social Systems: Mathematical Modeling and the Use of Information Technology)

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21 pages, 3390 KiB

Open AccessArticle

Risk Assessment of Oil and Gas Pipeline Based on Vague Set-Weighted Set Pair Analysis Method

by Aorui Bi, Shuya Huang and Xinguo Sun

Mathematics 2023, 11(2), 349; https://doi.org/10.3390/math11020349 - 9 Jan 2023

Cited by 7 | Viewed by 3274

Abstract

This study focuses on a risk assessment method for oil and gas pipelines. Oil and gas pipelines are usually constructed in a complex geological environment and are potentially dangerous. Risk assessment is a key step for their safety management. Therefore, the present paper [...] Read more.

This study focuses on a risk assessment method for oil and gas pipelines. Oil and gas pipelines are usually constructed in a complex geological environment and are potentially dangerous. Risk assessment is a key step for their safety management. Therefore, the present paper establishes a risk indicator system as the risk assessment foundation, and we propose a risk assessment method to obtain a quantitative assessment result for the pipeline based on set pair analysis (SPA) theory. For the weight values of each indicator in the assessment process, this paper presents a calculation method based on vague sets theory. Then, a pipeline in the Yanchang oilfield was taken as a case study to verify the feasibility of the method, and the final assessment result was 2.911, which meant the pipeline was relatively safe. The method could also obtain the risk level of each indicator, showing that geological conditions, extreme weather, and public safety awareness were particularly unsafe, and service time, pipeline deformation, ground activity, and operation training were relatively unsafe. It is expected that the risk assessment result could provide a reference for pipeline safety management. Full article

(This article belongs to the Special Issue Practice and Application of Emergency Management in Social Systems: Mathematical Modeling and the Use of Information Technology)

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31 pages, 5933 KiB

Open AccessArticle

Study of COVID-19 Epidemic Control Capability and Emergency Management Strategy Based on Optimized SEIR Model

by Weibin Wang and Zeyu Xia

Mathematics 2023, 11(2), 323; https://doi.org/10.3390/math11020323 - 8 Jan 2023

Cited by 8 | Viewed by 2309

Abstract

Due to insufficient epidemic detection and control, untimely government interventions, and high epidemic prevention costs in the early stages of the epidemic outbreak, the spread of the epidemic may become out of control and pose a great threat to human society. This paper [...] Read more.

Due to insufficient epidemic detection and control, untimely government interventions, and high epidemic prevention costs in the early stages of the epidemic outbreak, the spread of the epidemic may become out of control and pose a great threat to human society. This paper optimized and improved the traditional Susceptible-Exposed-Infectious-Removed (SEIR) model for investigating epidemic control and public health emergency management. Using the Corona Virus Disease 2019 (COVID-19) outbreak as an example, this paper simulates and analyzes the development of an epidemic outbreak during various periods with the optimized SEIR model, to explore the emergency control capacity of conventional medical control measures, such as large-scale outbreak testing capacity, hospital admission capacity, or daily protection of key personnel, and analyze the government’s emergency management strategies to achieve low-cost epidemic control. The model developed in this study and the results of its analysis demonstrate the differences in outbreak emergency control capacity under different conditions and different implementation strategies. A low-cost local outbreak emergency management strategy and the timing of the government’s resumption of work and school are discussed on this basis. Full article

(This article belongs to the Special Issue Practice and Application of Emergency Management in Social Systems: Mathematical Modeling and the Use of Information Technology)

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