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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RESEARCH ON FLASH TEMPERATURE OF CONSTANTLY NO CLEARANCE PRECISION STEEL BALL EQUAL-SPEED TRANSMISSION by XIA JingQi, AN ZiJun, JIANG Wei

“…On the basis of mechanism structure and the flash temperature theory, the instantaneous contact temperature-rise principle of constantly no clearance precision steel ball equal-speed transmission is studied and the formulas of the spin speed on each contact point, maximum contact stress, and frictional power are derived. Meantime, the mathematical model of instantaneous contact temperature risen of engagement pairs is established. …”
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Integrated hybrid model of sustainable supply chain in cement industry by Kiamars Fathi Hafshejani, Majid Bagheri Sorkhi, Mahmoud Modiri

“…Then, the relevant mathematical model was presented and solved in GAMS software using NSGA-II method in MATLAB software. …”
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Variable Volumetric Stiffness Fluid Mount Design by Nader Vahdati, Mehdi Ahmadian

“…In this paper, the new design concept, and its mathematical model and simulation results will be presented.…”
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Simulation and Experimental Research on Tooth Power Skiving Cutting of Double-circular-arc Internal Gears by Wang Feng, Yang Shufeng, Xu Wenbo, Zhang Weijie, Yu Wentao

“…Based on the principle of power skiving, the relative positions of the cutting tool and the workpiece are sorted out, and a mathematical model for double-circular-arc internal gear tooth turning is established. …”
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The Research of Maneuverability Modeling and Environmental Monitoring Based on a Robotic Dolphin by Zhibin Xue, Liangliang Li, Yixiao Song

“…Additionally, an added tail joint allows for the turning movement with efficient parameters obtained by a fluid-structure coupling method. To obtain a mathematical model, several disturbance signals were considered, including systematic uncertainties of the parameters, the perpetually changing environment, the interference from obstacles with effective fuzzy rules, and a sliding mode of control. …”
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Numerical Simulation of Shale Gas Multiscale Seepage Mechanism-Coupled Stress Sensitivity by Xun Yan, Jing Sun, Dehua Liu

“…Additionally, a mathematical model comprising multiscale, geomechanics, and adsorption phenomenon was proposed to characterize gas flow in the shale reservoir. …”
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Performance Prediction Model of Dynamic Pressure Oil-Air Separator by Xiaobin Zhang, Lei Lang, Xiaofeng Zhang, Hongqing Lv, Na Gao

“…Based on the aeroengine lubricating oil system test bench, this paper used a dimensional analysis method to establish a mathematical model for predicting the separation efficiency and resistance of a dynamic pressure oil-air separator suitable for engineering. …”
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Integrated Scheduling of Multi-Objective Job Shops and Material Handling Robots with Reinforcement Learning Guided Meta-Heuristics by Zhangying Xu, Qi Jia, Kaizhou Gao, Yaping Fu, Li Yin, Qiangqiang Sun

“…The collaborative scheduling of MHR and machines can enhance efficiency and reduce costs. First, a mathematical model is constructed to articulate the concerned problems. …”
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Instability Condition Derivation for Hydraulic AGC System under Pressure Closed-Loop Control by Yong Zhu, Guangpeng Li, Shengnan Tang, Wanlu Jiang, Pengfei Qian, Zhi Zheng, Zhijian Zheng

“…In this work, for each component of the HAGC system, the mathematical model was established. And on the basis of the linking relation of various elements, we derived the incremental transfer model of the PCL system. …”
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Development of Wrist Rehabilitation Device based on Coaxial Spherical Parallel 3RRR Mechanism by Shuaixu Ji, Yongguo Liang, Huimin Hao, Li'na Li, Jiahai Huang

“…On this basis，the inverse kinematics mathematical model of the wrist rehabilitation device is established，and the relationship between the motor input angle and the output pose of the robot end is obtained，and the robot working space is determined，the maximum angle of rotation around the <italic>X</italic> axis is 32°，the maximum angle of rotation around the <italic>Y</italic> axis is 37°，and the full rotation around the <italic>Z</italic> axis. …”
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