Two-dimensional cylinderical bioheat transfer through cloth-insulated human skin by Rouf Gulzar, Mir Aijaz, Javid Gani Dar, Ibrahim M. Almanjahie

“…In order to simulate the issue more accurately, a mathematical model based on the two-dimensional cylindrical bioheat equation along with appropriate initial and boundary conditions has been solved numerically. …”
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Numerical Compensation Method for Measuring Error of Tooth Profile of ZC1 Worm on Shaft Section by Zhiqiang Zhu, Jie Tang, Zhaoyao Shi

“…According to the mathematical model of ZC1 worm shaft section tooth profile，the theoretical discrete points of worm shaft section tooth profile can be obtained. …”
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Multi-objective Optimization Design of Planetary Cycloidal Reducer Structure with Considering Failure Correlation by Shengyu Zheng, Gang Zhao, Zhengming Xiao, Jialin Tan, Jiawei Liu

“…Taking a heavy-duty planetary cycloidal reducer as the research object，the reliability mathematical model of each subcomponent is constructed based on the force analysis of two-stage transmission system subcomponents，and the reliability is correlated and coupled by Copula function to construct a system reliability model considering failure correlation； on this basis，a multi-objective optimization model with minimum volume and maximum reliability is constructed，and NSGA-Ⅱ（Non-dominated sorted genetic algorithm-Ⅱ） algorithm is used to solve the model，and it is compared and analyzed with the system reliability model considering the independence assumption. …”
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Research on Flow Regime Hydraulics of Sluice-Passing Flows in Reconstruction Design of Large Sluice in Meandering River Channels by ZHANG Zhouwen

“…Large sluices in meandering river channels have large sluice-passing flow rates and turbulent flow regimes during floods,and downstream energy dissipaters of the sluice cannot be easily repaired once they are damaged by erosion.Taking the reconstruction of the Jimei Sluice as a research project,this paper tries to solve the problem that how to make the reconstructed sluice avoid the large scour pit that has a size of 50 000 m² and a maximum depth of 23 m and is formed by the erosion of current downstream stilling pools.In addition,the paper uses the technical route of changing the layout of the sluice opening and the angle between the sluice axis and the river channel centerline and establishes a two-dimensional hydrodynamic mathematical model to analyze the water level,sluice-passing flow regimes,and erosion.The results of the comparison find that the angle between the sluice axis and the river channel centerline is 88° (rotating counterclockwise by 2°),and the full-depth sluice scheme is suitable.The research ideas and methods can provide a reference for similar projects.…”
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Modeling and Control of the Public Opinion: An Agree-Disagree Opinion Model by Sara Bidah, Omar Zakary, Mostafa Rachik

“…In this paper, we aim to investigate optimal control to a new mathematical model that describes agree-disagree opinions during polls, which we presented and analyzed in Bidah et al., 2020. …”
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Vehicle Routing Problem with Soft Time Windows Based on Improved Genetic Algorithm for Fruits and Vegetables Distribution by Peiqing Li, Jie He, Dunyong Zheng, Yongsheng Huang, Chenhao Fan

“…Fresh fruits and vegetables, perishable by nature, are subject to additional deterioration and bruising in the distribution process due to vibration and shock caused by road irregularities. A nonlinear mathematical model was developed that considered not only the vehicle routing problem with time windows but also the effect of road irregularities on the bruising of fresh fruits and vegetables. …”
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Sensing Coverage Prediction for Wireless Sensor Networks in Shadowed and Multipath Environment by Sushil Kumar, D. K. Lobiyal

“…We have proposed a new sensing channel model that considers combined impact of shadowing fading and multipath effects. A mathematical model for calculating coverage probability in the presence of multipath fading combined with shadowing is derived based on received signal strength (RSS). …”
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Coordinated optimization and management of oxygen content and cathode pressure for PEMFC based on hybrid nonlinear robust control by Fang Shiyi, Feng Jianan, Zhu Yuxin, Chen Zehang, Fang Xiening, Chen Daifen, Fan Xinyu

“…In this paper, a hybrid control strategy based on a fifth-order nonlinear mathematical model of the PEMFC cathode is proposed to address these challenges. …”
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Design, Modeling, and Analysis of a Novel Hydraulic Energy-Regenerative Shock Absorber for Vehicle Suspension by Junyi Zou, Xuexun Guo, Lin Xu, Gangfeng Tan, Chengcai Zhang, Jie Zhang

“…At first, the schematic of HERSA is presented and a mathematic model is developed to describe the characteristic of HERSA. …”
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Optimal Design of Single-stage Double-arc Spiral Bevel Gear Nutation Reducer by Zheng Lin, Ligang Yao, Tongke Su, Zheng Sun

“…With the minimum volume of the nutation reducer as the objective function，an optimization mathematical model is established with 4 design variables and 12 optimization constraints，and the relevant parameters of the single-stage nutation bevel gear are obtained. …”
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Virtual network function deployment strategy based on improved genetic simulated annealing algorithm in MEC by Zhuo CHEN, Gang FENG, Yijing LIU, Yang ZHOU

“…In order to effectively improve the end-to-end service delay of the flow in multi-clusters coexisting mobile edge computing (MEC) network,a virtual network function deployment strategy based on improved genetic simulated annealing algorithm was proposed.The delay of mobile service flow was mathematically modeled through the open Jackson queuing network.After proving the NP attribute of this problem,a solution combining genetic algorithm and simulated annealing algorithm was proposed.In this strategy,the advance mapping mechanism avoids the possibility of network congestion,and the occurrence of local optima was avoided through using the methods of individual judgment and corrective genetic.Extensive simulation was set up to evaluate the effectiveness of the proposed strategy under different parameter settings,such as different volume of requests,different scale of service nodes,different number of MEC clusters,and logical link relationships between virtual network functions.Results show that this strategy can provide lower end-to-end services delay and better service experience for latency-sensitive mobile application.…”
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Natural Frequncies of Coupled Blade-Bending and Shaft-Torsional Vibrations by B.O. Al-Bedoor

“…In this study, the coupled shaft-torsional and blade-bending natural frequencies are investigated using a reduced order mathematical model. The system-coupled model is developed using the Lagrangian approach in conjunction with the assumed modes method to discretize the blade bending deflection. …”
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Investigations of the Elongational Deformation Induced by Pins in Pin-Barrel Cold-Feed Extruders by Zhilin Wang, Yiren Pan, Yanchang Liu, Jing Huang, Ning Wang, Xuehua Hu

“…This paper is a study on the elongational deformation induced by pins in pin-barrel cold-feed extruders. The mathematical model is established by using simple flow field, plate model, and Newton constitutive relation. …”
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Removal of Cr(VI) from Wastewater Using a Natural Nanoporous Adsorbent: Experimental, Kinetic and Optimization Studies by Utkarsh Maheshwari, Suresh Gupta

“…Weber and Morris and Boyd models show that both intra-particle and film diffusion are the controlling mechanism for adsorption of chromium (VI) ions on the developed adsorbent. The mathematical model is developed to optimize the adsorption capacity (q) in terms of the influencing parameters with the help of differential evolution (DE) technique.…”
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Optimization of Damper Top Mount Characteristics to Improve Vehicle Ride Comfort and Harshness by Mina M. S. Kaldas, Kemal Çalışkan, Roman Henze, Ferit Küçükay

“…A detailed and accurate damper top mount mathematical model is implemented inside a validated quarter vehicle model to provide a realistic simulation environment for the optimization study. …”
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A sustainable HazMat logistic network design considering scale of economy and route sensitivity and solving with Hybrid GA-SA by Razieh Keshavarzfard, Azam Naderi

“…This study presents a mathematical model for vehicle routing of  HazMat from economic, route sensitivity, and uncertainty perspectives. …”
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A Thermo-Hygro-Coupled Model for Chloride Penetration in Concrete Structures by Nattapong Damrongwiriyanupap, Suchart Limkatanyu, Yunping Xi

“…By developing the reliable mathematical model of chloride penetration into concrete structures, it can help structural engineers and management agencies with predicting the service life of reinforced concrete structures in order to effectively schedule the maintenance, repair, and rehabilitation program. …”
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Analysis of Density Wave Oscillations in Helically Coiled Tube Once-Through Steam Generator by Junwei Hao, Yaoli Zhang, Jianxiang Zheng, Zhiwei Zhou, Xuanyu Sheng, Gang Hong, Kai Ye, Ning Li

“…Based on the steady-state calculation, the mathematical model of single-channel system was established, and the transfer function was derived. …”
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An effective routing scheme of sparse wireless sensor networks by Chao SONG, Yingfeng ZHENG, Wenbin ZHAO

“…In order to make the energy-constrained mobile agent node obtain the minimum total route，an effective routing scheme of energy-constrained mobile agent node in sparse wireless sensor networks was presented. The mathematic model of the route of mobile agent node was built firstly，and then the whole wireless sensor network was split into different subsets according to the energy of the mobile agent node. …”
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On the basic reproduction number $R_0$ in sexual activity models for HIV/AIDS epidemics: Example from Yunnan, China by Nicolas Bacaër, Xamxinur Abdurahman, Jianli Ye, Pierre Auger

“…Heterogeneity in sexual behavior is known to play an important role in the spread of HIV. In 1986, a mathematical model based on ordinary differential equations was introduced to take into account the distribution of sexual activity. …”
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