Application of Improved Graph Theory in Planning of River and Lake System Connection by JIANG Yu, ZHANG Qionghai, YAN Meng

“…This paper first analyzes the river system characteristics,hydrodynamic conditions,and status quo of water environment in the tidal river network area.On this basis,a preliminary connection scheme is then drawn up by the concept of connectivity in the graph theory based on “flow resistance” and the connectivity diagnosis and optimization method of river systems based on the “shortest path” idea.The scheme is further refined by a one-dimensional hydrodynamic mathematical water quality model.The results reveal that the scheme of minimum resistance connection by the graph theory is the optimal scheme of structural connectivity,and the problem of connection failure caused by the sluice control mode is solved after the scheme is refined by the mathematical model.This method can quickly diagnose the structural connectivity of river and lake systems,enrich the diagnostic means of river and lake connectivity,and provide a reference for the planning of river system connectivity in the tidal river network area of the Pearl River Delta.…”
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Production-Distribution of Perishable Food considering Customer Time Window by Weibin Feng, Shangcheng Du, Yanli Xiao, Xiangyang Ren

“…Aiming at the production-distribution problem of perishable food, considering the interference caused by the change of the customer’s time window in actual distribution process, using the ideas of disruption management, analyzing the disturbance of the interference event to the production-distribution system, and constructing the perishable food production-distribution problem disturbance identification and disturbance measurement, and with the minimum deviation between the new scheme and the original scheme as the goal, a mathematical model of disturbance recovery is established. …”
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TRANSMISSION ACCURACY OF SYNCHRONOUS BELT BASED ON RECURDYN by GUO JianHua, MENG QingXin, YU Xin, HU QingMing

“…Using the mechanism of the tooth climbing of the belt,the mathematical model of the transmission error is established,reveals the transmission error of the synchronous belt is a function of the pulley pitch angle.Establish the virtual prototype dynamic transmission simulation model of synchronous belt based on Recur Dyn,through collect data and numerical analysis that mesh point with climbing tooth trace-Archimedes spiral,simulation results are consistent with the experimental results,to verify the accuracy of the simulation analysis.And compare the transmission accuracy of the new profile and L type trapezoidal tooth synchronous belt.The results showed that the transmission error of the new profile synchronous belt（Δθ =0.932mrad） less than L type trapezoidal toothed（Δθ = 1.615mrad）,shows that the capacity anti climbing tooth of the new profile synchronous belt is stronger than L type trapezoidal tooth,the tooth design of new profile synchronous belt is more reasonable.…”
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Methods Dealing with Complexity in Selecting Joint Venture Contractors for Large-Scale Infrastructure Projects by Ru Liang, Zhaohan Sheng, Xiangyu Wang

“…This paper is to study how to select joint venture contractors for undertaking large-scale infrastructure projects based on a multiattribute mathematical model. Two different methods are developed to solve the problem. …”
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Research on Adaptive Friction Compensation of Digital Hydraulic Cylinder Based on LuGre Friction Model by Shouling Jiang, Kun Zhang, Hui Wang, Donghu Zhong, Jinpeng Su, Zengkai Liu

“…This paper aims to eliminate nonlinear friction from the performance of the digital hydraulic cylinder to enable it to have good adaptive ability. First, a mathematical model of a digital hydraulic cylinder based on the LuGre friction model was established, and then a dual-observer structure was designed to estimate the unobservable state variables in the friction model. …”
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Strength Analysis of a Two-Layer PETF-Concrete Column with Allowance for Contact Interaction between Layers by Andrii Velychkovych, Liubomyr Ropyak, Olga Dubei

“…Therefore, the authors’ attention is focused on mechanical and mathematical modeling of the laminated column behavior under operational load. …”
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IMPACT OF CHEMICAL REACTION ON MHD BOUNDARY LAYER FLOW OF NANOFLUIDS OVER A NONLINEAR STRETCHING SHEET WITH THERMAL RADIATION HAAR WAVELET COLLOCATION METHOD by MAHESH KUMAR N, Vishwanath B Awati, Akash Goravar

“…The nanofluid physical model of the problem comprises with effects of thermophoresis, radiation and chemical reaction parameters. The mathematical model scrutinizes mass, momentum, heat transfer and concentration equations are reduced to couple nonlinear ordinary differential equations over infinite domain using proper similarity variables. …”
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Dynamics of Terrorism in Contemporary Society for Effective Management by Kazeem Babatunde Akande, Julius Adebowale Makinde, Mohammed Olanrewaju Ibrahim

“…This paper investigated the interaction between the extremism of faith leading to the act of terror and a susceptible individual (members of the society) to guide the policymakers and decision implementers to embrace the proposed model for counterterrorism for effective management of the insurgency. Mathematical modelling of epidemiology was conceptualized for the model formulation, and the resulting autonomous differential equations were critically analyzed with the Lipschitz condition, next generation matrix, and Bellman and Cooke’s criteria for the management of insurgency in the society. …”
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Numerical Simulation of Dispersed Particle-Blood Flow in the Stenosed Coronary Arteries by Mongkol Kaewbumrung, Somsak Orankitjaroen, Pichit Boonkrong, Buraskorn Nuntadilok, Benchawan Wiwatanapataphee

“…A mathematical model of dispersed bioparticle-blood flow through the stenosed coronary artery under the pulsatile boundary conditions is proposed. …”
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Optimization Design of Part Tolerance of RV Reducer based on Genetic Algorithm by Xie Xiongwei, Xu Honghai, Guan Tong

“…The backlash is one of the important technical indicators of the RV reducer， and there are many design parameters that affect the backlash. Based on the mathematical model between the part processing feature tolerance and cost， the minimum part processing cost is taken as the target， the allowable backlash(≤1′) and the assembly dimension chain are used as the constraints， and the genetic algorithm is used to optimize the key dimensional tolerances of the RV reducer cycloidal gear， pinwheel， crankshaft and other parts. …”
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SIMSCAPE Electrical Modelling of the IGBT with Parameter Optimization Using Genetic Algorithm by Mohamed Baghdadi, Elmostafa Elwarraki, Naoual Mijlad, Imane Ait Ayad

“…The proposed method is based on the Genetic Algorithm (GA) to perfectly extract and optimize the model parameters using the mathematical model circuit equations and the provided datasheet characteristics. …”
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Scheduling IT Staff at a Bank: A Mathematical Programming Approach by M. Labidi, M. Mrad, A. Gharbi, M. A. Louly

“…Due to the large number of conflicting constraints, a multiobjective programming model has been proposed to automate the schedule generation process. The suggested mathematical model has been implemented using Lingo software. …”
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STUDY ON MECHANICAL CHARACTERISTICS OF SCRAPER CONVEYOR UNDER CHAIN-BREAKING CONDITION by XIE Miao, YANG RunKun, LU JinNan, WU LongFei

“…In order to study the transient mechanical characteristics of the scraper conveyor’s stuck and broken chain, based on the elastic wave theory, the general equation of the chain longitudinal wave is established considering the resistance of the load, the boundary and initial value conditions are determined, and the mathematical model is analyzed and solved. Using MATLAB software, numerical simulation analysis was carried out on the dynamics of the scraper conveyor under the direct starting conditions and the stuck and broken chain fault conditions. …”
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The Stochastic Resonance Behaviors of a Generalized Harmonic Oscillator Subject to Multiplicative and Periodically Modulated Noises by Suchuan Zhong, Kun Wei, Lu Zhang, Hong Ma, Maokang Luo

“…These useful results presented in this paper can give the theoretical basis for practical use and control of the SR phenomenon of this mathematical model in future works.…”
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Design and Dynamics Modeling of a New Two-speed Transmission by Yaogang Li, Shuo Zhang, Jue Yang, Haiyang Long, Chang Liu, Senqi Tan

“…In addition， the basic structure and working principle are introduced， and Lagrange method is applied to analyze the dynamics modeling of each component of the transmission， a two-degree of freedom Lagrange equation is established， the shift process model is built based on MATLAB/Simulink， the shift process is analyzed and the accuracy of the mathematical model is verified. It provides a certain basis for the study on dynamics modeling and shift quality optimization of the same type of transmission.…”
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Multi-objective Optimization Design of RV Reducer Considering the Cycloid Gear Profile Modification by Wang Quan, Zeng Lilei, Qin Zhengzheng

“…In view of the fact that the influence of cycloid gear profile modification on contact force is not taken into account in the structural design of RV reducer，a multi-objective optimization design method for the structure of RV reducer considering cycloid gear profile modification is proposed.Combining the theory of tooth profile modification with the calculation of contact stress of cycloidal gear，considering the factors of volume，efficiency and contact stress，an optimization mathematical model with small volume，high efficiency and low contact stress of cycloidal gear as multi-objective function is established.The solution is carried out by using NSGA-II algorithm，and compared with single-objective optimization method.The results show that compared with the original design，the volume of RV reducer decreases by 21.24%，the efficiency increases by 2.03%，and the contact stress of cycloid wheel decreases by 20.26%.Meanwhile，the multi-objective optimization method has higher comprehensive performance than the single-objective optimization method.…”
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Quantitative Studies of Low Impact Development Literaturein China by SUN Shiqin, HOU Jingwei

“…In the perspective of core journals, and master's and doctoral theses, and based onthe literature about low impact development (LID)retrieved from the China National KnowledgeInfrastructure (CNKI), this paper analyzes the annual publication trends, source journals, topicdistributions,number of citation and keyword clustering of literature, and discusses the rules andtrend of quantitative research on LID in China by the methods of socioeconomics, ecology,mathematical modeling, and systematics & spatial optimization.The results show that: The quantityof literature about the LID since 2009 increases rapidly in China, with wider researchperspectives, larger research scales, deeper research goals, and better research system.Modelsand methods are diversified, but there are some shortcomings such as rely too much on models, andlimitations to scheme diversification. …”
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An Improved MPPT Algorithm for PV Generation Applications Based on P-U Curve Reconstitution by Yaoqiang Wang, Meiling Zhang, Xian Cheng

“…In order to solve this problem, this paper takes MPPT as the main research object, and an improved MPPT algorithm for PV generation applications based on P-U curve reconstitution is proposed. Firstly, the mathematical model of PV array is presented, and then the output dynamic characteristics are analyzed. …”
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Numerical Analyses of Static Characteristics of Liquid Annular Seals Based on 2D LBM-LES Model by Zhenjie Zhang, Lulu Zhai, Jia Guo, Zuchao Zhu, Guoyou Chen

“…In this paper, a two-dimensional (2D) mathematical model for predicting the leakage flow rates and static characteristics of liquid seal is established, based on the lattice Boltzmann method (LBM) combined with the D2G9 velocity model for incompressible fluid and large eddy simulation (LES) turbulence model, in which the transformation equation of reference pressure is developed with the Bernoulli equation. …”
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The dynamics of CD4+ T cell proliferation and regulation by Mingran Zhang, Junling Ma, Roderick Edwards, Meili Li

“…We use mathematical modeling to study the proliferation dynamics of CD4+ T cells within an immune response. …”
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