Study on paste pumping characteristics based on double pumps in parallel

2015 ◽  
Vol 12 (3) ◽  
pp. 255-260 ◽  
Author(s):  
Guimei Wang ◽  
Shaohua Jin ◽  
Buqin Zhang ◽  
Fugui Yang ◽  
Xiaoli Ji
Keyword(s):  
Objective Function ◽  
Optimal Solution ◽  
Least Square Method ◽  
Least Square ◽  
Pumping System ◽  
Filling Station ◽  
Unit Energy ◽  
Parallel Forms ◽  
Coal Reserves ◽  
Flow Power

The coal reserves overlain by buildings, water bodies and railways are estimated to be about 14 billion tons in China. Based on the concept of green mining, in order to save the unit energy, Double pumps in parallel forms of pumping are adopted in 0the paste filling of the pumping system. The optimal solution of the objective function could be obtained by taking the unit flow power of the pumping system as the objective function, using the quadratic polynomial by the least square method curve fitting and by the application of MATLAB. Thereby it is possible to reduce power consumption and increase the efficiency of the operating economy in the paste filling station.

Optimization of Vehicle Handing and Stability Based on RSM

2012 ◽  
Vol 591-593 ◽  
pp. 733-736
Author(s):  
Dong Shan Sun ◽  
Fang Wang ◽  
Yan Pin He
Keyword(s):  
Objective Function ◽  
Simulation Analysis ◽  
Target Function ◽  
Least Square Method ◽  
Linear Interpolation ◽  
Simulation Software ◽  
Least Square ◽  
Lateral Acceleration ◽  
Slip Angle ◽  
Vehicle Model

Based on the theory of multi-body system dynamics and simulation software ADAMS/Car, the whole vehicle model was established. Afterwards by means of pylon course slalom, the accuracy of modeling was tested. The analysis and evaluation were later made to draw a conclusion that the handling stability of model needed improved. So as to improve the handling stability, the index lateral acceleration, yaw rate, side slip angle were taken as target function while suspension stiffness parameters were designed variables. Optimization of vehicle handing stability was practiced by applying second-order Response Surface Methodology (RSM) model. The relationship could be obtained by least square method obviously. Moreover applying with linear interpolation the final objective function was decided. The minimum of final objective function was the optimal result. Simulation analysis was performed again for the whole vehicle model by parameters modification. Subsequently, the results showed that this method greatly improved handling stability.

scholarly journals Algorithmic Study on Position and Movement Method of Badminton Doubles

2022 ◽  
Vol 2022 ◽  
pp. 1-9
Author(s):  
Yu Xie ◽  
Xiaodong Xie ◽  
Huan Xia ◽  
Zhe Zhao
Keyword(s):  
Optimal Solution ◽  
Least Square Method ◽  
Standing Position ◽  
Plane Graph ◽  
Least Square ◽  
Optimal Position ◽  
Research Results ◽  
Parametric Functions ◽  
Save Energy ◽  
Left Front

The algorithms used by schedulers depend on the complexity of the schedule and constraints for each problem. The position and movement of badminton players in badminton doubles competition is one of the key factors to improve the athletes’ transition efficiency of offense and defense and the rate of winning matches and to save energy consumption. From the perspective of basic theory, the author conducts research on the position and movement of badminton doubles. Based on the numerical analysis method, the optimal model of standing position and direction composed of 7 nonlinear equations is established. In addition, the final of 10 matches of the super series of the world badminton federation in 2019 was selected as the sample of speed parameters. With the help of MATLAB mathematical analysis software, the numerical model established by the least square method was adopted to optimize the specific standing position and walking model. Ultimately, the optimal solution has been obtained, which can be represented on a plane graph. The optimal position of the attack station should be the blocking area (saddle-shaped area) and the hanging area (circular arc area in the middle). The optimal defensive positioning should be left defensive positioning area (left front triangle area) and right defensive positioning area (right front triangle area), which is consistent with our current experience and research results. The research results use mathematical tools to calculate the accurate optimal position in doubles matches, which has guiding significance to the choice of athletes’ position and walking position in actual combat and can also be used as a reference for training, providing a certain theoretical basis for the standing and walking of badminton doubles confrontation. The data collection and operation methods in this study can provide better calculation materials for artificial intelligence optimization and fuzzy operation of motion displacement, which is of great significance in the field of motion, simulation, and the call of parametric functions.

A CONSTRAINED LEAST SQUARE METHOD FOR ESTIMATING A SMOOTH, NONNEGATIVE FORWARD RATE SEQUENCE

2005 ◽  
Vol 08 (07) ◽  
pp. 989-998 ◽  
Author(s):  
HIROSHI KONNO ◽  
SUMITO ITO
Keyword(s):  
Optimization Problem ◽  
Market Price ◽  
Optimal Solution ◽  
Region Of Interest ◽  
Least Square Method ◽  
Least Square ◽  
Smoothness Condition ◽  
Forward Rate ◽  
Programming Algorithms ◽  
Fitting Error

We will develop an efficient method for estimating a smooth nonnegative forward rate sequence using the market price of riskless bonds. This method is an improvement of the classical Carleton–Cooper's method based on standard least square method, which often generates a non-smooth forward rate sequence and hence is not used in practice. The method to be proposed in this paper is intended to resolve this difficulty. We will impose a smoothness condition while maintaining the fitting error within an acceptable level. The resulting optimization problem is shown to be convex in the region of interest. Therefore, we can calculate a globally optimal solution very fast by standard nonlinear programming algorithms. We will demonstrate that this method generates a smooth forward rate sequence at the expense of a very small increase of fitting error.

scholarly journals Computer Mathematical Modeling Based on the Improved Genetic Algorithm and Mobile Computing

2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Huixian Wei ◽  
Jia Liu
Keyword(s):  
Genetic Algorithm ◽  
Mathematical Model ◽  
Mobile Computing ◽  
Optimal Solution ◽  
Least Square Method ◽  
Search Space ◽  
Least Square ◽  
Improved Genetic Algorithm ◽  
Operation Rate ◽  
The Individual

In order to change the problem of data redundancy in a genetic algorithm, this paper proposes a computer mathematical model based on the combination of an improved genetic algorithm and mobile computing. Combined with the least square method, MATLAB software is used to solve the equations, determine the range of parameters, and solve the estimation parameter range and identification problems. The improved genetic algorithm combined with mobile computing and least square method to establish a mathematical model greatly increased the individual search space and increased the operation rate of 90% compared to the basic genetic algorithm or mobile computing. The results show that the improved genetic algorithm and mobile computing have a certain ability to identify the optimal solution and greatly improve the work efficiency.

scholarly journals AVALIAÇÃO DA POTENCIALIDADE DE FUNÇÕES OBJETIVO UTILIZADAS NA IDENTIFICAÇÃO DE FALHAS EM ESTRUTRAS TRELIÇADAS

2017 ◽  
Vol 13 (2) ◽  
Author(s):  
Marcus Alexandre Noronha de Brito ◽  
Luiano Mendes Bezerra ◽  
Willian Taylor Matias Silva ◽  
Wellington Andrade da Silva
Keyword(s):  
Structural Damage ◽  
Lattice Structure ◽  
Optimal Solution ◽  
Least Square Method ◽  
Least Square ◽  
Objective Functions ◽  
Residual Function ◽  
Internal Damage ◽  
Damage Location ◽  
Natural Modes

RESUMO: A realização da análise de um conjunto de “Assinaturas Estruturais” ou comumente denominadas como “Funções Objetivo” possibilita o conhecimento de suas respectivas potencialidades ou sensibilidades em identificar falhas ou danos estruturais. Cinco Funções Objetivo são avaliadas neste trabalho compostas por grandezas estáticas, deslocamentos, e dinâmicas, como modos e frequências naturais de vibração, de modo a unir a simplicidade de obtenção dos parâmetros estáticos com a potencialidade das características dinâmicas. Ainda se observa que a otimização destas soluções pela minimização de uma função residual com a aplicação de um processo combinatório, juntamente com o Método dos Mínimos Quadrados – MMQ resulta na localização e quantificação de falhas ou danos internos nas barras de uma estrutura treliçada. Dessa forma, avalia-se a sensibilidade das Funções Objetivo na captura dos danos propostos determinando assim a Função que apresenta a solução ótima para o problema estrutural apresentado de localização de dano possibilitando também a observação das dificuldades encontradas nestes problemas. Dessa forma os resultados expostos evidenciam a capacidade das “Funções Objetivo” estudadas em auxiliar ações de análise de localização de danos estruturais internos, reduzindo a aplicação de métodos como ultrassom a locais mais restritos, caso necessário. ABSTRACT: The analysis of a set of "structural signatures" or also called "Objective Functions" enables the knowledge of their respective capabilities or sensitivities to identify flaws or structural damage. Five objective functions are evaluated in this work comprised of static quantities, offsets and processes as natural modes and frequencies of vibration, so as to combine the simplicity of obtaining static parameters with the capability of dynamic characteristics. Still noted that optimization of these solutions by minimizing a residual function with the application of a combinatorial procedure with the least square method - resulting in MMQ location and quantification of failures or internal damage to the bars of a lattice structure. Thus, it evaluates the sensitivity of the functions goal in the capture of the proposed damage thus determining the function that provides the optimal solution to the problem presented structural damage location also enables the observation of the difficulties encountered these problems. Thus, the results show the ability of the "Objective Functions" studied to assist in the analysis of the location of internal structural damage, reducing the application of methods such as ultrasound to more restricted locations, if necessary.

scholarly journals Parameter identification and state-of-charge prediction of decommissioned lithium batteries

2021 ◽  
Vol 267 ◽  
pp. 01017
Author(s):  
Qian Shi ◽  
Junkai Li ◽  
Qi Qin ◽  
Chijian Zhang
Keyword(s):  
Parameter Identification ◽  
Covariance Matrix ◽  
Optimization Algorithm ◽  
Lithium Batteries ◽  
Equivalent Circuit Model ◽  
Optimal Solution ◽  
Least Square Method ◽  
State Of Charge ◽  
Least Square ◽  
Recursive Least Square

Aiming at the problem that different temperatures and working modes affect the parameter identification and state of charge (SOC) estimation of decommissioned lithium batteries, a new method based on the second-order RC equivalent circuit model combined with the recursive least square method (RLS) is proposed to introduce the forgetting factor, and combined with the extended Kalman filter algorithm (EKF) to realize the method of online parameter identification of decommissioned lithium batteries and the optimal estimation of SOC. In order to solve the problem of obtaining the optimal solution of the error covariance matrix and the measurement noise covariance matrix in EKF, the particle swarm optimization algorithm (PSO) is used to optimize online to further improve the SOC prediction accuracy. The results show that the joint optimization algorithm can accurately identify the parameters and SOC values of retired lithium batteries, which is helpful to realize the echelon utilization of retired lithium batteries.

scholarly journals A Novel WSNs Localization Algorithm Based on Artificial Fish Swarm Algorithm

2016 ◽  
Vol 12 (1) ◽  
pp. 64 ◽  
Author(s):  
Xiaoying Yang ◽  
Wanli Zhang ◽  
Qixiang Song
Keyword(s):  
Optimal Solution ◽  
Least Square Method ◽  
Least Square ◽  
Localization Algorithm ◽  
Node Localization ◽  
Artificial Fish Swarm Algorithm ◽  
Network Cost ◽  
Artificial Fish Swarm ◽  
Unknown Node ◽  
The Cost

In node localization algorithm in Wireless Sensor Networks (WSNs), the least square method is affected by the measurement error, which leads to position error of the unknown node. In order to solve the problem that the error is too high, we propose a novel WSNs localization algorithm based on artificial fish swarm (AFSA). In the proposed algorithm, artificial fish swarm, which has some advantages such as requirements for the initial value and parameter setting is not high, the optimization speed is quick and so on, is introduced in position process. Firstly, the distances between nodes are obtained by using the TDOA algorithm. Then the geometrical position of the unknown nodes is estimated by the artificial fish swarm optimization algorithm. The simulation results show that compared with the least square method, the algorithm proposed in the paper can reduce the computation amount, get the optimal solution quickly and improve the accuracy of the node without increasing the cost and power consumption. Moreover, the number of beacon nodes is relatively small, so the network cost is reduced to a certain extent.

Algorithms for descent along nodal straight lines in the problem of estimating regression equations using the least absolute deviations method

2021 ◽  
Vol 87 (5) ◽  
pp. 68-75
Author(s):  
A. N. Tyrsin
Keyword(s):  
Objective Function ◽  
Gradient Descent ◽  
Least Square Method ◽  
Least Square ◽  
Regression Equations ◽  
Exact Methods ◽  
Computational Costs ◽  
Least Absolute Deviations ◽  
Performance Reduction ◽  
Straight Lines

A problem of estimating linear regression equations by the least absolute deviations method is considered. The exact methods of implementation of the method are significantly inferior in performance to the least square method. The fastest algorithm based on coordinate descent along nodal straight lines has a computational complexity proportional to the square of the number of observations, which limits the practical application of the method to monitoring and diagnostic tasks. The goal of the study is to describe a faster version of the descent along the nodal straight lines, as well as to evaluate the performance. Reduction of the computational costs is achieved due to the fact that instead of calculating the values of the objective function at nodal points, we find the derivative of the objective function in the vicinity of these points along the nodal line. The computational efficiency of gradient descent along nodal straight lines is estimated. For a typical computer, a comparative analysis of the average calculation time for various algorithms of descent along nodal straight lines is performed. A simple example is given to illustrate the implementation of a gradient descent procedure. Along with reduction of the computational costs, we also eliminated the possibility of accumulating computational errors when determining the values of the objective function for large samples. Moreover, gradient descent is quite simple for implementation. This makes it possible to use the method of least absolute deviations as an alternative to the least square method in various practical applications.

Direct Assessment of Effective Renal Plasma Flow from Renoscintigraphy with a Gamma Camera and an On-Line Computer

1981 ◽  
Vol 20 (06) ◽  
pp. 274-278
Author(s):  
J. Liniecki ◽  
J. Bialobrzeski ◽  
Ewa Mlodkowska ◽  
M. J. Surma
Keyword(s):  
Count Rate ◽  
Renal Plasma Flow ◽  
Early Period ◽  
Least Square Method ◽  
Least Square ◽  
Uptake Coefficient ◽  
Positive Linear Correlation ◽  
On Line ◽  
Best Fit ◽  
Plasma Activity

A concept of a kidney uptake coefficient (UC) of 131I-o-hippurate was developed by analogy from the corresponding kidney clearance of blood plasma in the early period after injection of the hippurate. The UC for each kidney was defined as the count-rate over its ROI at a time shorter than the peak in the renoscintigraphic curve divided by the integral of the count-rate curve over the "blood"-ROI. A procedure for normalization of both curves against each other was also developed. The total kidney clearance of the hippurate was determined from the function of plasma activity concentration vs. time after a single injection; the determinations were made at 5, 10, 15, 20, 30, 45, 60, 75 and 90 min after intravenous administration of 131I-o-hippurate and the best-fit curve was obtained by means of the least-square method. When the UC was related to the absolute value of the clearance a positive linear correlation was found (r = 0.922, ρ > 0.99). Using this regression equation the clearance could be estimated in reverse from the uptake coefficient calculated solely on the basis of the renoscintigraphic curves without blood sampling. The errors of the estimate are compatible with the requirement of a fast appraisal of renal function for purposes of clinical diagknosis.

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