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New Mean and Median Techniques to Solve Multiobjective Linear Fractional Programming Problem and Comparison with Other Techniques 解决多目标线性分式编程问题的新平均值和中值技术及其与其他技术的比较
IF 4 Pub Date : 2024-05-06 DOI: 10.1155/2024/5000269
Getaye Fentaw, Adane Akate
In the field of operation research, both linear and fractional programming problems have been more encountered in recent years because they are more realistic in expressing real-life problems. Fractional programming problem is used when several rates need to be optimized simultaneously such as resource allocation planning, financial and corporate planning, healthcare, and hospital planning. There are several techniques to solve the multiobjective linear fractional programming problem. However, because of the use of scalarization, these techniques have some limitations. This paper proposed two new mean and median techniques to solve the multiobjective linear fractional programming problem by overcoming the limitations. After utilizing mean and median techniques, the problem is converted into an equivalent linear fractional programming problem; then, the linear fractional programming problem is transformed into linear programming problem and solved by the conventional simplex method or mathematical software. Some numerical examples have been illustrated to show the efficiency of the proposed techniques and algorithm. The performance of these solutions was evaluated by comparing their results with other existing methods. The numerical results have shown that the proposed techniques are better than other techniques. Furthermore, the proposed techniques solve a pure multiobjective maximization problem, which is even impossible with some existing techniques. The present investigation can be improved further, which is left for future research.
在运筹学领域,线性规划问题和分式规划问题都是近年来比较常见的问题,因为它们在表达现实问题时更加真实。当需要同时优化多个比率时,如资源分配规划、财务和企业规划、医疗保健和医院规划等,就会用到分数规划问题。有多种技术可以解决多目标线性分式编程问题。然而,由于使用了标量化,这些技术都有一些局限性。本文提出了两种新的均值和中值技术来解决多目标线性分式编程问题,克服了这些局限性。利用均值和中值技术后,问题被转化为等效的线性分式编程问题;然后,线性分式编程问题被转化为线性编程问题,并通过传统的单纯形法或数学软件求解。一些数值示例说明了所提技术和算法的效率。通过与其他现有方法进行比较,对这些解决方案的性能进行了评估。数值结果表明,建议的技术优于其他技术。此外,所提出的技术还能解决纯粹的多目标最大化问题,而这在某些现有技术中甚至是不可能实现的。目前的研究还可以进一步改进,这有待于今后的研究。
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引用次数: 0
Multisensor Fuzzy Logic Approach for Enhanced Fire Detection in Smart Cities 增强智能城市火灾探测的多传感器模糊逻辑方法
IF 4 Pub Date : 2024-03-18 DOI: 10.1155/2024/8511649
N. Vaegae, Visalakshi Annepu, Kalapraveen Bagadi, Fadl Dahan
As smart cities expand rapidly, the demand for strong fire protection has become even more essential. A significant challenge lies in ensuring that fire detection systems integrate seamlessly into our modern infrastructures. Leveraging multisensor systems can yield reliable data on potential fires. Particularly in smart buildings, the effectiveness of multisensor fire detection algorithms becomes paramount. This research introduces a fuzzy logic-driven method that harnesses the power of smoke, flame, and temperature sensors. While smoke, flames, and elevated temperatures are primary fire indicators, they can manifest concurrently or sequentially. We have amalgamated various fuzzy logic rules (IF-THEN structures) to gauge the intensity of fires. When a fire ignites, the sensors spring into action, identifying its source and promptly notifying users via the Internet and GSM modems. Moreover, they relay the fire’s precise geographic coordinates to fire departments. The fire’s status will be consistently updated on a dedicated online portal. It was observed from our results that the system proficiently sends fire alerts to residents, and the fire status undergoes regular updates at 45-second intervals. This refreshing is initiated by the identification of a designated percentage of smoke and flame. These outcomes validate the system’s effectiveness in enhancing the precision and responsiveness of fire detection capabilities.
随着智慧城市的快速发展,对强大消防系统的需求变得更加迫切。如何确保火灾探测系统与我们的现代基础设施无缝集成,是一项重大挑战。利用多传感器系统可以获得有关潜在火灾的可靠数据。特别是在智能建筑中,多传感器火灾探测算法的有效性变得至关重要。本研究介绍了一种模糊逻辑驱动方法,该方法可利用烟雾、火焰和温度传感器的威力。虽然烟雾、火焰和温度升高是主要的火灾指标,但它们可以同时或先后出现。我们融合了各种模糊逻辑规则(IF-THEN 结构)来衡量火灾的强度。当火灾发生时,传感器就会立即行动起来,识别火源,并通过互联网和 GSM 调制解调器迅速通知用户。此外,它们还能将火灾的精确地理坐标传送给消防部门。火灾状态将在专门的在线门户网站上持续更新。我们的研究结果表明,该系统能有效地向居民发送火灾警报,并以 45 秒的间隔定期更新火灾状态。当识别到指定比例的烟雾和火焰时,系统就会启动更新。这些结果验证了该系统在提高火灾探测能力的精确度和响应速度方面的有效性。
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引用次数: 0
Performance of Heat Pump Air Conditioning with R1234ze (HFO) as a Refrigerant 使用 R1234ze(氢氟烯烃)作为制冷剂的热泵空调性能
IF 4 Pub Date : 2024-02-10 DOI: 10.1155/2024/9101945
Subhash Kumar, V. Raibhole, Himadri Majumder
The study shows that refrigerants R1234ze (E) and R1234ze (Z), known for their low global warming potential, are likely to become primary choices in heat pump air conditioning for residential and commercial use. The research evaluates the thermodynamic properties of R1234ze (Z) using experimental, thermodynamic, and numerical analyses. It addresses F-gas regulation requirements and aligns with the Paris Agreement goals by exploring various refrigerants, including R227ea, R114, R236fa, R134a, R1234ze (Z), and R245fa, as potential candidates for evolving industry needs. The analysis indicates that R1234ze (Z) outperforms other working fluids in heat pump applications, with an optimized theoretical coefficient of performance (COP) at a condensation temperature 22 K lower than critical temperatures. However, actual COP deviates due to a significant pressure drop, especially with inadequate volumetric capacity. A key finding is that a substantial portion of the pressure reduction is attributed to mitigating irreversible losses, estimated at a condensation temperature of 70–75°C, emphasizing the complex relationship between pressure and performance. The study suggests that R1234ze (Z) is more suitable for high-temperature applications than traditional air conditioning systems. In a parallel assessment, the initial calculation of the coefficient of performance for R245fa evaluates the reliability of a new refrigeration industry arrangement. Test results for heat pump technology reveal that R1234ze (Z) achieves an impressive COP of up to 3.60 at a buildup temperature of 90°C with a temperature differential of 45 K. This positions R1234ze (Z) as a suitable choice for heat pump applications prioritizing simplicity in system design.
研究表明,制冷剂 R1234ze (E) 和 R1234ze (Z) 以其较低的全球升温潜能值而著称,很可能成为住宅和商用热泵空调的主要选择。该研究通过实验、热力学和数值分析对 R1234ze (Z) 的热力学特性进行了评估。该研究通过探索各种制冷剂(包括 R227ea、R114、R236fa、R134a、R1234ze (Z) 和 R245fa)作为满足不断变化的行业需求的潜在候选制冷剂,满足了含氟温室气体法规的要求,并与《巴黎协定》的目标保持一致。分析表明,在热泵应用中,R1234ze (Z) 的性能优于其他工作流体,在冷凝温度比临界温度低 22 K 时,其理论性能系数 (COP) 达到最优。然而,由于压降较大,特别是在容积容量不足的情况下,实际 COP 会出现偏差。一个重要发现是,压力降低的很大一部分原因是为了减少不可逆损失,估计冷凝温度为 70-75°C,强调了压力与性能之间的复杂关系。研究表明,与传统空调系统相比,R1234ze(Z)更适合高温应用。在一项平行评估中,对 R245fa 性能系数的初步计算评估了新型制冷工业布置的可靠性。热泵技术的测试结果表明,R1234ze(Z)在 90°C 的升温温度和 45 K 的温差条件下可实现高达 3.60 的性能系数。
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引用次数: 0
Performance of Heat Pump Air Conditioning with R1234ze (HFO) as a Refrigerant 使用 R1234ze(氢氟烯烃)作为制冷剂的热泵空调性能
IF 4 Pub Date : 2024-02-10 DOI: 10.1155/2024/9101945
Subhash Kumar, V. Raibhole, Himadri Majumder
The study shows that refrigerants R1234ze (E) and R1234ze (Z), known for their low global warming potential, are likely to become primary choices in heat pump air conditioning for residential and commercial use. The research evaluates the thermodynamic properties of R1234ze (Z) using experimental, thermodynamic, and numerical analyses. It addresses F-gas regulation requirements and aligns with the Paris Agreement goals by exploring various refrigerants, including R227ea, R114, R236fa, R134a, R1234ze (Z), and R245fa, as potential candidates for evolving industry needs. The analysis indicates that R1234ze (Z) outperforms other working fluids in heat pump applications, with an optimized theoretical coefficient of performance (COP) at a condensation temperature 22 K lower than critical temperatures. However, actual COP deviates due to a significant pressure drop, especially with inadequate volumetric capacity. A key finding is that a substantial portion of the pressure reduction is attributed to mitigating irreversible losses, estimated at a condensation temperature of 70–75°C, emphasizing the complex relationship between pressure and performance. The study suggests that R1234ze (Z) is more suitable for high-temperature applications than traditional air conditioning systems. In a parallel assessment, the initial calculation of the coefficient of performance for R245fa evaluates the reliability of a new refrigeration industry arrangement. Test results for heat pump technology reveal that R1234ze (Z) achieves an impressive COP of up to 3.60 at a buildup temperature of 90°C with a temperature differential of 45 K. This positions R1234ze (Z) as a suitable choice for heat pump applications prioritizing simplicity in system design.
研究表明,制冷剂 R1234ze (E) 和 R1234ze (Z) 以其较低的全球升温潜能值而著称,很可能成为住宅和商用热泵空调的主要选择。该研究通过实验、热力学和数值分析对 R1234ze (Z) 的热力学特性进行了评估。该研究通过探索各种制冷剂(包括 R227ea、R114、R236fa、R134a、R1234ze (Z) 和 R245fa)作为满足不断变化的行业需求的潜在候选制冷剂,满足了含氟温室气体法规的要求,并与《巴黎协定》的目标保持一致。分析表明,在热泵应用中,R1234ze (Z) 的性能优于其他工作流体,在冷凝温度比临界温度低 22 K 时,其理论性能系数 (COP) 达到最优。然而,由于压降较大,特别是在容积容量不足的情况下,实际 COP 会出现偏差。一个重要发现是,压力降低的很大一部分原因是为了减少不可逆损失,估计冷凝温度为 70-75°C,强调了压力与性能之间的复杂关系。研究表明,与传统空调系统相比,R1234ze(Z)更适合高温应用。在一项平行评估中,对 R245fa 性能系数的初步计算评估了新型制冷工业布置的可靠性。热泵技术的测试结果表明,R1234ze(Z)在 90°C 的升温温度和 45 K 的温差条件下可实现高达 3.60 的性能系数。
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引用次数: 0
A Systematic Review of Linear Programming Techniques as Applied to Diet Optimisation and Opportunities for Improvement 线性规划技术在饮食优化中的应用及其改进机会的系统综述
IF 4 Pub Date : 2023-09-07 DOI: 10.1155/2023/1271115
Leticia Donkor, Emmanuel Essien, N. S. Affrifah
Background. Food provides the required nutrients for adequate growth and development. However, meeting the recommended nutrients while considering environmental sustainability can be complicated and challenging. Previously, trial-and-error methods were used for product development, but these are tedious and time-consuming. Mathematical techniques such as linear programming offer an alternative and rapid approach to developing products with nutritional/or sustainability considerations. This method has been extensively used in diet optimisation but does not sufficiently address dietary problems with more than one objective function. Aim. The review aimed to explore the extent of mathematical approaches to address dietary problems. Methodology. A systematic review approach was adopted for the research. The major search engines used were Scopus, PubMed, and Science Direct, based on selected keywords. A stepwise structural method was used to obtain articles. Articles that contained the search keywords but applied in nonhuman cases were excluded. Duplicated articles were also excluded and accounted for as one. All articles were subjected to further review based on their abstract and complete titles before passing them for data analysis. Results. The total number of articles obtained from the search activity was 280. Fifty-six were retained after the criteria for inclusion were applied to them. Out of the 56 articles retained, only two studies used goal programming and nonlinear generalised mathematical approaches to address dietary problems. All other studies used the linear programming approach, focusing mainly on one or two constraints (nutrients and/or acceptability), highlighting the limitations of linear programming in addressing the multiple factors of a sustainable diet. Several researchers have proposed using multiobjective optimisation, an extension of linear programming, to address challenges with sustainable diets. These approaches can be further explored to address sustainable dietary problems.
背景。食物提供足够的生长发育所需的营养。然而,在考虑环境可持续性的同时满足推荐营养素可能是复杂和具有挑战性的。以前,产品开发使用的是试错法,但这些方法既繁琐又耗时。线性规划等数学技术为开发具有营养/可持续性考虑的产品提供了一种替代和快速的方法。该方法已广泛应用于饮食优化,但不能充分解决饮食问题与多个目标函数。的目标。这篇综述旨在探讨数学方法在解决饮食问题方面的应用范围。方法。本研究采用系统综述方法。使用的主要搜索引擎是Scopus, PubMed和Science Direct,基于选定的关键词。采用逐级结构法获得文章。包含搜索关键词但应用于非人类病例的文章被排除在外。重复的文章也被排除,并作为一个计算。所有文章在通过数据分析之前,都要根据摘要和完整的标题进行进一步的审查。结果。从搜索活动中获得的文章总数为280篇。56人在适用纳入标准后被保留。在保留的56篇文章中,只有两篇研究使用了目标规划和非线性广义数学方法来解决饮食问题。所有其他研究都使用线性规划方法,主要关注一两个限制(营养和/或可接受性),强调线性规划在解决可持续饮食的多重因素方面的局限性。一些研究人员已经提出使用多目标优化,线性规划的延伸,以解决可持续饮食的挑战。这些方法可以进一步探讨,以解决可持续饮食问题。
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引用次数: 0
Optimization of Deformation Behaviors during Continuous Forming Extrusion of C18150 Copper Alloy through Response Surface Methodology 基于响应面法的C18150铜合金连续成形挤压变形行为优化
IF 4 Pub Date : 2023-08-31 DOI: 10.1155/2023/6682884
Tariku Desta, D. Sinha, P. J. Ramulu
Continuous extrusion (CE) is a method of creating endless profiles of high-quality products of dimensional accurateness, high productivity, and excellent material properties. The main objective of this study is to investigate the influence of CE input process parameters on optimal overall extrusion load requirement and effective stress induced. The input parameters considered were extrusion driving wheel speed, feed metal temperature, tool temperature, and factor of friction proceeding. Numerical simulations of a copper alloy (C18150) were carried out using DEFORM-3D to investigate the impact of the input variables on total load and effective stresses. A mathematical model based on response surface methodology (RSM) was developed for optimized results. The optimized parameters in terms of wheel extrusion velocities, feedstock temperatures, tool temperatures, and friction factors expressed. The ANOVA test was performed to assess the suitability and appropriateness of the model. Using RSM, the optimal load value of 408.167 kN and effective stress of 1241.0 MPa were achieved within the composite preference of 1.0. A load of 408.167 kN had been obtained if the velocity of the wheel, temperatures of feedstock, tool temperatures, and factors of friction are 4 rpm, 500°C, 400°C, and 0.85, respectively. The minimum effective stress of 1241.0 MPa is induced in the feedstock due to the CE process if the velocity of the wheel, temperature of the feedstock, die temperature, and frictional factor were 4 rpm, 500°C, 400°C, and 0.95, respectively.
连续挤压(CE)是一种制造尺寸精确、生产率高、材料性能优异的高质量产品的无尽型材的方法。本研究的主要目的是研究CE输入工艺参数对最佳整体挤压载荷要求和有效应力诱导的影响。考虑了挤压驱动轮转速、进给金属温度、刀具温度和加工摩擦因数等输入参数。采用DEFORM-3D软件对某铜合金(C18150)进行了数值模拟,研究了输入变量对总载荷和有效应力的影响。基于响应面法(RSM)建立了优化结果的数学模型。优化后的参数以轮式挤压速度、进料温度、刀具温度和摩擦因数表示。采用方差分析检验评估模型的适宜性和适宜性。采用RSM法,在复合优选值1.0范围内,获得了408.167 kN的最优荷载值和1241.0 MPa的有效应力值。当砂轮速度、进料温度、刀具温度和摩擦系数分别为4rpm、500°C、400°C和0.85时,得到408.167 kN的载荷。当砂轮速度为4 rpm,料温为500℃,模具温度为400℃,摩擦系数为0.95时,由于CE过程,给料中产生的有效应力最小值为1241.0 MPa。
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引用次数: 0
Performance Optimization of Chemical and Green Coagulants in Tannery Wastewater Treatment: A Response Surface Methodology Approach 化学和绿色混凝剂在制革废水处理中的性能优化:响应面方法
IF 4 Pub Date : 2023-07-11 DOI: 10.1155/2023/9939499
Miriam Appiah-Brempong, Helen Michelle Korkor Essandoh, Nana Yaw Asiedu, Samuel Kwame Dadzie, Francis Warings Yao Momade
Vegetable tannery wastewater, highly laden with recalcitrant organics, is not easily treatable through biological processes. This study focuses on the use of response surface methodology in optimizing a coagulation-flocculation process for pretreatment of vegetable tannery wastewater. This study also assessed the possibility of replacing chemical coagulants such as aluminum sulphate with green alternatives such as cassava starch and orange peel powder. The effects of coagulant dosage and pH on three key wastewater quality parameters (chemical oxygen demand (COD) and total suspended solids (TSS)’s removal efficiencies as well as sludge volume index (SVI)) were also assessed. Quadratic models developed for all the three responses were adequate. The optimal conditions were attained at a pH of 3.17 and a dosage of 2.76 g/L for cassava starch coagulant, pH of 3.74 and a dosage of 5.16 g/L for orange peel powder coagulant, and pH of 6.09 and a dosage of 11.60 g/L for aluminum sulphate. The COD and TSS removal efficiencies as well as SVI achieved under these optimal conditions were 37.25%, 73.95%, and 14.80 mL/g, respectively, for cassava starch coagulant; 17.97%, 66.08%, and 19.87 mL/g, respectively, for orange peel powder coagulant; and 38.51%, 76.06%, and 29.57 mL/g, respectively, for aluminum sulphate. The outperformance of cassava starch over orange peel powder and its comparable results with aluminum sulphate makes the former a more environment-friendly alternative to aluminum sulphate for treatment of tannery wastewater.
植物制革厂废水中含有大量难降解有机物,不易通过生物工艺处理。本研究的重点是利用响应面法优化植物制革厂废水的混凝-絮凝预处理工艺。该研究还评估了用绿色替代品(如木薯淀粉和橙皮粉)替代化学混凝剂(如硫酸铝)的可能性。考察了混凝剂投加量和pH对三个关键水质参数(化学需氧量(COD)、总悬浮物(TSS)去除率以及污泥体积指数(SVI))的影响。对所有三种反应建立的二次模型都是足够的。木薯淀粉混凝剂pH为3.17,投加量为2.76 g/L;橙皮粉混凝剂pH为3.74,投加量为5.16 g/L;硫酸铝pH为6.09,投加量为11.60 g/L。在此条件下,木薯淀粉混凝剂的COD去除率为37.25%,TSS去除率为73.95%,SVI去除率为14.80 mL/g;橙皮粉混凝剂分别为17.97%、66.08%和19.87 mL/g;硫酸铝分别为38.51%、76.06%和29.57 mL/g。木薯淀粉的性能优于橙皮粉及其与硫酸铝的可比性,使前者成为处理制革厂废水的更环保的硫酸铝替代品。
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引用次数: 0
An Optimization Model for the Student-to-Project Supervisor Assignment Problem-The Case of an Engineering Department 学生与项目导师分配问题的优化模型——以某工程院系为例
IF 4 Pub Date : 2022-10-31 DOI: 10.1155/2022/9415210
Johnson Ramotsisi, Mompoloki Kgomotso, Lone Seboni
Purpose. Empirical studies on the topic of assigning university project students to supervisors are currently underexplored. Such studies are critical to success of both the students and the university. Whilst extant research on this topic has contributed to an understanding of student assignments, what appears to be missing is application of a comprehensive framework to inform formulation and validation of a robust solution approach that takes account of both student and supervisor preferences, to optimize a real-life student-to-project supervisor assignment problem. Methodology. Questionnaire and interview surveys with project coordinators, project supervisors, head of department and students were conducted to identify factors surrounding the student-to-project supervisor assignment, through a case study approach in a university department offering engineering degree programs. This study not only develops a framework to understand an effective student-to-project supervisor assignment decision but also applies it in practice, through a case study in a University department offering engineering degree programs. An integer linear programming model was developed and implemented in an optimization software to optimize the student-to-project supervisor assignment, using data from the case study. Findings. Using OpenSolver, validated model results show improvements in matching both students and project supervisors’ preferences, whilst complying with supervisors’ workloads. These results also reveal an improvement in minimizing the project coordinator’s time in doing the assignment by introducing a standardized approach that concurrently considers all variables in a consistent manner. Originality. The contribution lies in: (1) development of a robust framework for student-to-supervisor assignments, (2) explicit consideration of contextual factors that recognize different assignment scenarios, (3) identification of feedback loops to recognize not only the need for continuous improvement in student-to-supervisor assignments but also links to performance in final year projects, (4) unique insights to guide project coordinators in relation to an efficient, effective, comprehensive, and standardized approach to the student-to-project supervisor assignment, and (5) a deeper understanding of a comprehensive range of factors that play a role in student-to-project supervisor assignments in higher education institutions.
目的。目前,关于将大学项目学生分配给导师这一主题的实证研究尚未得到充分的探讨。这些研究对学生和大学的成功都是至关重要的。虽然关于这一主题的现有研究有助于理解学生作业,但似乎缺少一个综合框架的应用,以告知制定和验证一个考虑到学生和导师偏好的强大解决方案方法,以优化现实生活中学生到项目导师的分配问题。方法。通过对一个提供工程学位课程的大学院系的案例研究方法,对项目协调员、项目主管、系主任和学生进行问卷调查和访谈,以确定围绕学生到项目主管分配的因素。本研究不仅开发了一个框架来理解有效的学生对项目主管的分配决策,而且还通过一个提供工程学位课程的大学部门的案例研究将其应用于实践。利用案例研究的数据,在优化软件中开发并实现了一个整数线性规划模型,以优化学生与项目主管的分配。发现。使用OpenSolver,经过验证的模型结果显示,在满足学生和项目主管偏好方面有所改进,同时符合主管的工作量。这些结果还表明,通过引入以一致的方式同时考虑所有变量的标准化方法,在最大限度地减少项目协调员完成任务的时间方面有所改进。创意。贡献在于:(1)为学生到导师的作业制定一个健全的框架;(2)明确考虑识别不同作业场景的背景因素;(3)识别反馈回路,不仅认识到学生到导师的作业需要持续改进,而且还认识到与最后一年项目的表现有关;(4)独特的见解,指导项目协调员与高效、有效、全面、(5)更深入地了解高等教育机构中影响学生与项目主管分配的各种因素。
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引用次数: 0
Optimal Control Analysis of Treatment Strategies of the Dynamics of Cholera 霍乱动态治疗策略的最优控制分析
IF 4 Pub Date : 2022-08-17 DOI: 10.1155/2022/2314104
Sani Fakai Abubakar, M. Ibrahim
A nine-compartment deterministic cholera model was formulated, and the model describes interactions between human, Vibrio cholerae bacteria, and the enviroment that warrant the interaction. Realities and socioeconomic burden influence spread and control mechanism of the disease. The model investigated some effective ways of hindering cholera outbreak and spread. The existence and uniqueness of solution of the system of equations that the model comprises were ascertained. The basic reproduction number R 0 of the model was obtained using “next-generation matrix” method, and the most sensitive parameters were identified using “normalised forward sensitivity index” method. Three controls, hygiene consciousness denoted by X1, cholera vaccine X2, and cholera awareness programme X3, were chosen. Optimal control theory is applied to ascertain the level of effect of the controls in reducing susceptible, exposed, infected individuals and causative pathogen population. Pontryagin’s maximum principle is used to prove the optimal solution of the model, and the optimal system was derived and numerically solved. Simulations were made with graphs that show the effects of the controls on susceptible, exposed, infected, and Vibrio cholerae population. The findings are that simultaneous application of the three controls can be one of the fast and effective ways of controlling cholera. If two controls are to be selected, hygiene consciousness and vaccine are the best combination.
建立了一个九室确定性霍乱模型,该模型描述了人类、霍乱弧菌细菌和保证相互作用的环境之间的相互作用。现实和社会经济负担影响疾病的传播和控制机制。该模型探讨了阻止霍乱爆发和传播的有效途径。确定了模型所包含的方程组解的存在唯一性。采用“下一代矩阵”法获得模型的基本再现数r0,采用“归一化前向灵敏度指数”法识别最敏感参数。选取卫生意识X1、霍乱疫苗X2和霍乱宣传规划X3 3个对照。应用最优控制理论确定了控制措施在减少易感、暴露、感染个体和致病病原体种群方面的效果水平。利用庞特里亚金极大值原理证明了模型的最优解,导出了最优系统并进行了数值求解。模拟用图表显示了控制对易感、暴露、感染和霍乱弧菌群体的影响。研究结果表明,同时应用这三种控制方法可能是控制霍乱的快速有效方法之一。如果选择两种对照,卫生意识和疫苗是最好的组合。
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引用次数: 2
Investigation of Bus Special Lane Performance Using Statistical Analysis and Optimization of the Signalized Intersection Delay by Machine Learning Methods 基于统计分析的公交专用道性能研究及基于机器学习的交叉口信号延迟优化
IF 4 Pub Date : 2022-03-20 DOI: 10.1155/2022/2984803
Vahid Najafi moghaddam Gilani, Mohammad Reza Ghanbari Tamrin, S. Hosseinian, M. Nikookar, Daniel Safari, Soheil YektaParast
Nowadays, the performance analysis and evaluation of public transportation systems have great importance in traffic engineering science. So far, the bus system has not been very effective in some cities in Iran, and many management approaches such as the allocation of special lanes and regular bus scheduling, which are needed to increase the efficiency of this system, have not been sufficiently considered. The purpose of the present study is to optimize the delay of the signalized intersection of bus lane and investigate the factors affecting the urban bus usage by citizens in public transportation of Rasht city and especially their satisfaction. Therefore, the intersection delay was optimized by gathering the traffic volume data in peak hour time of a signalized intersection along the bus lane and using machine learning methods. In addition, by collecting two different questionnaires, taking 84 samples (first questionnaire) and 374 samples (second questionnaire), the satisfaction of citizens and business people on the boundary of the bus lane was considered. The results indicated that about 95% of the businesses around this route believe that the construction of the bus lane led to a decrease in the income of more than 110 dollars per month. Further to this, despite the lack of facilities, poorly designed routes, and lack of the bus system fleet, the bus lane of Imam Khomeini had a high degree of satisfaction among the citizens. The result of various models showed that the adaptive network-based fuzzy inference system (ANFIS) had the highest R2 and the lowest amount of root mean square error (RMSE). In fact, this model had a better performance to predict and optimize the delay of signalized intersection than the fuzzy model. The optimum amount of intersection delay was determined as 56 seconds. With this value, the delay of bus movements in the bus lane had a higher possibility of being reduced.
目前,公共交通系统的性能分析与评价在交通工程科学中具有重要的意义。到目前为止,公交系统在伊朗的一些城市还不是很有效,许多提高公交系统效率所需要的管理方法,如设置专用车道、定期安排公交班次等都没有得到充分的考虑。本研究的目的是优化公交车道信号交叉口的延误,并探讨影响拉什特市市民在公共交通中使用城市公交的因素,特别是他们的满意度。因此,通过采集公交专用道沿线信号交叉口高峰时段交通量数据,利用机器学习方法对交叉口延误进行优化。此外,通过收集两份不同的问卷,84份样本(第一份问卷)和374份样本(第二份问卷),考虑市民和商业人士对公交车道边界的满意度。结果表明,该路线周围约95%的商家认为公交车道的建设导致每月收入减少110美元以上。此外,尽管缺乏设施,路线设计不佳,缺乏公交系统车队,但伊玛目霍梅尼的公交车道在市民中获得了很高的满意度。各种模型的结果表明,基于自适应网络的模糊推理系统具有最高的R2和最低的均方根误差(RMSE)。实际上,该模型比模糊模型具有更好的信号交叉口延迟预测和优化性能。确定最佳交叉口延迟量为56秒。有了这个值,公交车道上的公交运行延误就有更高的减少可能性。
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引用次数: 2
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Journal of Optimization
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