An Improved Harmony Search Algorithm for Power Distribution Network Planning by Wei Sun, Xingyan Chang

“…IHS algorithm is applied to solve the complex optimization mathematical model. The empirical results strongly indicate that IHS algorithm can effectively provide better results for solving the distribution network planning problem compared to other optimization algorithms.…”
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Thermodynamic analysis of expansion process of screw expander in wet steam area by A. M. Kalashnikov, G. I. Chernov, V. L. Yusha

“…During the study of the expansion process in the area of wet steam in a screw expander, a mathematical model of this process is developed. The mathematical model is verified by comparing the results obtained on its basis with the results obtained by other researchers on an identical object. …”
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Presenting a model for solving lot-streaming hybrid flow shop scheduling problem by considering independent setup time and transportation time by Roja Ruhbakhsh, Esmaeil Mehdizadeh, Mohammad Amin Adibi

“…The obtained results show the performance of the mathematical model. Then, two proposed algorithms are used to solve the large-scale problems. …”
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Wear Analysis of Tooth Surface of Rack-and-pinion with Variable Mounting Distance for Rack Railway by Yingjie Xu, Peng Zheng, Yunfeng Liu, Yang Gao, Wenbo Xu

“…For this purpose， the process of variable mounting distance transmission of rack-and-pinion in the form of Strub rack railway is analyzed， and the key parameters of variable mounting distance transmission are calculated accordingly； by introducing the mounting distance step and slip distance step， the continuous transmission process of rack and pinion pair with variable mounting distance is discretized， and the mathematical model of wear volume and wear depth of tooth surface of variable installation distance rack-and-pinion is constructed； in order to verify the accuracy of the mathematical model， rack wear test is carried out； combined with concrete examples， the influence of different parameters on tooth surface wear is analyzed to obtain the key factors affecting the wear of tooth surface and their influencing rules. …”
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Sizing a Hybrid Renewable Energy System by a Coevolutionary Multiobjective Optimization Algorithm by Wenhua Li, Guo Zhang, Xu Yang, Zhang Tao, Hu Xu

“…However, as more and more devices are added into MG, the mathematical model of HRES refers to nonlinear, in which the traditional method is incapable to solve. …”
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Location Decision-Making of Equipment Manufacturing Enterprise under Dual-Channel Purchase and Sale Mode by Wei Xu, Lina Liu, Qingshan Zhang, Peng Liu

“…In the multiplant location decision problem, we have established the conceptual model and the logical model and established the mathematical model with the goal of minimizing the cost and time. …”
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MODELING AND CARRYING CAPACITY ANALYSIS OF CIRCULAR ARC TOOTH PROFILE CIRCULAR ARC TOOTH LINE CYLINDRICAL GEAR by JIANG BiQiong, REN ZhongYi, DUAN JianZhong, GUO XueDong

“…The tooth line of this kind of gear is circular arc, and has the characteristics of symmetry about the central section of tooth width. The mathematical model of circular arc tooth profile circular arc tooth line cylindrical gear is established according to spiral bevel gear milling principle, and the 3 D solid model of double-arc tooth profile gear and quadruple-arc tooth profile gear is established according to the gear mathematical model. …”
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Study on Rock-Breaking Depth and Damage Area under Particle Jet Impact by Fushen Ren, Tiancheng Fang, Xiaoze Cheng

“…Then, based on the spherical cavity expansion theory, the mathematical model of rock-breaking depth and damage area under particle jet impact was established. …”
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Investigation on Gas-Soot Flow Distribution Characteristic of Soot Capture Process in the Wall-Flow Diesel Particulate Filter by Jianyu Li, Chunping Lu, Dongli Tan

“…Therefore, the established mathematical model can be used for predicting gas-particle flow velocity distribution in the diesel particulate filter.…”
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Grip Force Modeling and Analysis of the End-effector of Minimally Invasive Surgical Instrument by Fen Liu, Nanxing Du, Hongqiang Sang, Shiming Yang

“…The simulation results show that the mathematical model of the grip force is closer to the actual situation，which provides a theoretical basis for effective and safe grip force control in future.…”
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Flow of electrorheological fluid under conditions of slip on the boundary

“…<p>We study a mathematical model describing flows of electrorheological fluids. …”
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Adaptation of welding transformer parameters taking into account arc output characteristics by Savchuk V. S., Plekhov A. S.

“…To assess the quality of a welded joint and its compliance with operational requirements, mathematical modeling methods are used. The mathematical model of a pulse transformer has been developed using the Matlab Simulink software package and software modules from Schneider Electric. …”
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Vibration Characteristics and Reduction Analysis of Lifting Pipe under Ocean Current by Qinghui Song, Haiyan Jiang, Qingjun Song, Linjing Xiao, PeiSi Zhong

“…Considering the geometrical features of the prototype, this paper establishes the physical model, mathematical model, and simulation model of the lifting subsystem. …”
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Empowering People with Disabilities in Smart Homes Using Predictive Informing by Marko Periša, Petra Teskera, Ivan Cvitić, Ivan Grgurević

“…The smart home environment with diverse types of sensors whose data are part of sets defined by a mathematical model is also evaluated. The significance of establishing data sets as a foundation for future research, the development of ML models, and the utilization of AI is highlighted in this paper.…”
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A Nonstandard Dynamically Consistent Numerical Scheme Applied to Obesity Dynamics by Rafael J. Villanueva, Abraham J. Arenas, Gilberto González-Parra

“…Since the total population in this mathematical model is assumed constant, the proposed scheme has been constructed to satisfy the associated conservation law and positivity condition. …”
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A mathematical optimization model for allocating physical spaces to academic requirements by Zeynab Rashidi, Zahra Rashidi

“…In this paper, a mathematical model of integer programming is presented to formulate this problem.Methodology: To solve the model, the gradient descent method is used and its parameters are adjusted. …”
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Power Prediction-Based Model Predictive Control for Energy Management in Land and Air Vehicle with Turboshaft Engine by Zhengchao Wei, Yue Ma, Changle Xiang, Dabo Liu

“…First, a modeling approach based on data-driven method is adopted to obtain the mathematical model of turboshaft engine considering time delay and inertial of states. …”
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Application of Response Surface Methodology for Modeling of Postweld Heat Treatment Process in a Pressure Vessel Steel ASTM A516 Grade 70 by Prachya Peasura

“…This research studied the application of the response surface methodology (RSM) and central composite design (CCD) experiment in mathematical model and optimizes postweld heat treatment (PWHT). …”
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Optimization of FCAW Parameters for Ferrite Content in 2205 DSS Welds Based on the Taguchi Design Method by Tianqi Li, Yingying Zhang, Lei Gao, Yunhao Zhang

“…The analysis of variance (ANOVA) was applied, and a mathematical model was developed to predict the effect of process parameters on the responses. …”
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Research of Digital Closed-loop Manufacturing Technology of Curvic Coupling by Zhiyong Wang, Zhixiong Xiao, Yu Zhang, Xin Liu

“…Based on the mathematical model of tooth surface， the correction method of tooth profile error is established. …”
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