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Thermodynamic Fit Functions of the Two-Phase Fluid and Critical Exponents 被引量:1
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作者 Albrecht Elsner 《Engineering(科研)》 2014年第12期789-826,共38页
Two-phase fluid properties such as entropy, internal energy, and heat capacity are given by thermodynamically defined fit functions. Each fit function is expressed as a temperature function in terms of a power series ... Two-phase fluid properties such as entropy, internal energy, and heat capacity are given by thermodynamically defined fit functions. Each fit function is expressed as a temperature function in terms of a power series expansion about the critical point. The leading term with the critical exponent dominates the temperature variation between the critical and triple points. With β being introduced as the critical exponent for the difference between liquid and vapor densities, it is shown that the critical exponent of each fit function depends (if at all) on β. In particular, the critical exponent of the reciprocal heat capacity c﹣1 is α=1-2β and those of the entropy s and internal energy u are?2β, while that of the reciprocal isothermal compressibility?κ﹣1T is γ=1. It is thus found that in the case of the two-phase fluid the Rushbrooke equation conjectured α +?2β + γ=2 combines the scaling laws resulting from the two relations c=du/dT and?κT=dlnρ/dp. In the context with c, the second temperature derivatives of the chemical potential μ and vapor pressure p are investigated. As the critical point is approached, ﹣d2μ/dT2 diverges as c, while?d2p/dT2 converges to a finite limit. This is explicitly pointed out for the two-phase fluid, water (with β=0.3155). The positive and almost vanishing internal energy of the one-phase fluid at temperatures above and close to the critical point causes conditions for large long-wavelength density fluctuations, which are observed as critical opalescence. For negative values of the internal energy, i.e. the two-phase fluid below the critical point, there are only microscopic density fluctuations. Similar critical phenomena occur when cooling a dilute gas to its Bose-Einstein condensate. 展开更多
关键词 CRITICAL Condition U = 0 CRITICAL OPALESCENCE Rushbrooke Equation THERMODYNAMIC fit functionS for Saturated Water Vapor and Liquid Volumes Vapor Pressure Chemical Potential Entropy Internal ENERGY Free ENERGY Heat Capacity
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Function fitting for modeling seasonal normalized difference vegetation index time series and early forecasting of soybean yield 被引量:2
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作者 Alexey Stepanov Konstantin Dubrovin Aleksei Sorokin 《The Crop Journal》 SCIE CSCD 2022年第5期1452-1459,共8页
Forecasting crop yields based on remote sensing data is one of the most important tasks in agriculture.Soybean is the main crop in the Russian Far East.It is desirable to forecast soybean yield as early as possible wh... Forecasting crop yields based on remote sensing data is one of the most important tasks in agriculture.Soybean is the main crop in the Russian Far East.It is desirable to forecast soybean yield as early as possible while maintaining high accuracy.This study aimed to investigate seasonal time series of the normalized difference vegetation index(NDVI) to achieve early forecasting of soybean yield.This research used data from the Moderate Resolution Image Spectroradiometer(MODIS),an arable-land mask obtained from the VEGA-Science web service,and soybean yield data for 2008-2017 for the Jewish Autonomous Region(JAR) districts.Four approximating functions were fitted to model the NDVI time series:Gaussian,double logistic(DL),and quadratic and cubic polynomials.In the period from calendar weeks 22-42(end of May to mid-October),averaged over two districts,the model using the DL function showed the highest accuracy(mean absolute percentage error-4.0%,root mean square error(RMSE)-0.029,P <0.01).The yield forecast accuracy of prediction in the period of weeks 25-30 in JAR municipalities using the parameters of the Gaussian function was higher(P <0.05) than that using the other functions.The mean forecast error for the Gaussian function was 14.9% in week 25(RMSE was0.21 t ha) and 5.1%-12.9% in weeks 26-30(RMSE varied from 0.06 to 0.15 t ha) according to the2013-2017 data.In weeks 31-32,the error was 5.0%-5.4%(RMSE was 0.07 t ha) using the Gaussian parameters and 7.4%-7.7%(RMSE was 0.09-0.11 t ha) for the DL function.When the method was applied to municipal districts of other soy-producing regions of the Russian Far East.RMSE was0.14-0.32 t hain weeks 25-26 and did not exceed 0.20 t hain subsequent weeks. 展开更多
关键词 NDVI function fitting Early prediction YIELD SOYBEAN
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The Application of Multiquadric Function Fitting to Borehole Strain Time Series Data Processing 被引量:1
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作者 Peng Zhao Zhang Lei +1 位作者 Chen Zhiyao Lv Pingji 《Earthquake Research in China》 CSCD 2017年第2期239-246,共8页
Based on the existing continuous borehole strain observation,the multiquadric function fitting method was used to deal with time series data. The impact of difference kernel function parameters was discussed to obtain... Based on the existing continuous borehole strain observation,the multiquadric function fitting method was used to deal with time series data. The impact of difference kernel function parameters was discussed to obtain a valuable fitting result,from which the physical connotation of the original data and its possible applications were analyzed.Meanwhile,a brief comparison was made between the results of multiquadric function fitting and polynomial fitting. 展开更多
关键词 Multiquadric function fitting Kernel function Borehole strain time series
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Large Scattered Data Fitting Based on Radial Basis Functions 被引量:2
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作者 FENG Ren-zhong XU Liang 《Computer Aided Drafting,Design and Manufacturing》 2007年第1期66-72,共7页
Solving large radial basis function (RBF) interpolation problem with non-customized methods is computationally expensive and the matrices that occur are typically badly conditioned. In order to avoid these difficult... Solving large radial basis function (RBF) interpolation problem with non-customized methods is computationally expensive and the matrices that occur are typically badly conditioned. In order to avoid these difficulties, we present a fitting based on radial basis functions satisfying side conditions by least squares, although compared with interpolation the method loses some accuracy, it reduces the computational cost largely. Since the fitting accuracy and the non-singularity of coefficient matrix in normal equation are relevant to the uniformity of chosen centers of the fitted RBE we present a choice method of uniform centers. Numerical results confirm the fitting efficiency. 展开更多
关键词 scattered data radial basis functions interpolation least squares fitting uniform centers
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Fitness of Four-Parameter Beta Distribution Function for Forecasting Gold Reserve and Its Production Lifespan in Ghana
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作者 Samuel Kwaku Obeng Christiana C. Nyarko +1 位作者 Lewis Brew K. Sagary Nokoe 《Open Journal of Statistics》 2023年第4期567-593,共27页
Ghana, renowned for its abundant gold reserves, plays a significant role in the global mining industry. Effective management and accurate forecasting of these reserves are vital for sustainable resource utilization an... Ghana, renowned for its abundant gold reserves, plays a significant role in the global mining industry. Effective management and accurate forecasting of these reserves are vital for sustainable resource utilization and economic planning. Forecasting gold reserves and estimating their production lifespan are complex tasks that require robust statistical models capable of capturing the underlying dynamics of gold deposit accumulation and extraction. To this end, the four-parameter Beta distribution function emerges as a promising candidate due to its flexibility and ability to handle non-negative data. This research aims to investigate the fitness and applicability of the four-parameter Beta distribution function for forecasting Ghana’s gold reserves and estimating the production lifespan of this precious resource. The empirical paper relied mainly on quarterly secondary datasets on gold reserve between the years 2009 and 2022 secured from the Minerals Commission of Ghana, Accra. Several known statistical distributions including Beta, Weibull, Normal, Logistic and Gamma were explored with Maximum Likelihood Estimation (MLE) and evaluated using model selection criteria as AIC and BIC. Goodness of Fits were evaluated using Kolmogorov-Smirnov Test (K-S), Cramer-Von Mises Statistic and Anderson-Darling Statistic. Based on the analysis conducted, the four-parameter Beta distribution provided the best fit for gold reserve in Ghana. At a 99.9% confidence level and considering the current annual average gold production estimate of 3,700,031.248 to 4,302,647.888 ounces, the projected lifespan of gold production in Ghana extends to the year 1,953,765. This astounding estimate suggests that the country’s gold reserves are expected to sustain production for an extended period, providing a critical resource for economic development and supporting the mining industry well into the distant future. 展开更多
关键词 Gold Reserve Four-Parameter Beta Distribution function Goodness of fit Statistics
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Fitness of Four-Parameter Beta Distribution Function for Forecasting Gold Reserve and Its Production Lifespan in Ghana
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作者 Samuel Kwaku Obeng Christiana C. Nyarko +1 位作者 Lewis Brew K. Sagary Nokoe 《Open Journal of Endocrine and Metabolic Diseases》 2023年第4期567-593,共27页
Ghana, renowned for its abundant gold reserves, plays a significant role in the global mining industry. Effective management and accurate forecasting of these reserves are vital for sustainable resource utilization an... Ghana, renowned for its abundant gold reserves, plays a significant role in the global mining industry. Effective management and accurate forecasting of these reserves are vital for sustainable resource utilization and economic planning. Forecasting gold reserves and estimating their production lifespan are complex tasks that require robust statistical models capable of capturing the underlying dynamics of gold deposit accumulation and extraction. To this end, the four-parameter Beta distribution function emerges as a promising candidate due to its flexibility and ability to handle non-negative data. This research aims to investigate the fitness and applicability of the four-parameter Beta distribution function for forecasting Ghana’s gold reserves and estimating the production lifespan of this precious resource. The empirical paper relied mainly on quarterly secondary datasets on gold reserve between the years 2009 and 2022 secured from the Minerals Commission of Ghana, Accra. Several known statistical distributions including Beta, Weibull, Normal, Logistic and Gamma were explored with Maximum Likelihood Estimation (MLE) and evaluated using model selection criteria as AIC and BIC. Goodness of Fits were evaluated using Kolmogorov-Smirnov Test (K-S), Cramer-Von Mises Statistic and Anderson-Darling Statistic. Based on the analysis conducted, the four-parameter Beta distribution provided the best fit for gold reserve in Ghana. At a 99.9% confidence level and considering the current annual average gold production estimate of 3,700,031.248 to 4,302,647.888 ounces, the projected lifespan of gold production in Ghana extends to the year 1,953,765. This astounding estimate suggests that the country’s gold reserves are expected to sustain production for an extended period, providing a critical resource for economic development and supporting the mining industry well into the distant future. 展开更多
关键词 Gold Reserve Four-Parameter Beta Distribution function Goodness of fit Statistics
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Fitting集与根函数
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作者 高锐敏 赵白云 王长群 《河南科学》 2011年第8期895-898,共4页
群类理论是在有限可解群研究工作的基础上发展起来的,但近年来对有限群论的许多方面都起到越来越大的作用.Fitting类是重要群类之一.为了更深入地研究Fitting类,主要研究了Fitting集所具有的性质,用构造的方法证明了Fitting集与根函数... 群类理论是在有限可解群研究工作的基础上发展起来的,但近年来对有限群论的许多方面都起到越来越大的作用.Fitting类是重要群类之一.为了更深入地研究Fitting类,主要研究了Fitting集所具有的性质,用构造的方法证明了Fitting集与根函数之间可以建立一个一一对应的关系,证明了两个根函数的合成依然是根函数,并刻画了与该合成相关联的Fitting集,得到两个重要的定理.这对于Fitting类的研究具有重要意义. 展开更多
关键词 有限群 fitting集 根函数 正规子群 次正规子群
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函数系数自回归模型推广形式的Back-Fitting估计 被引量:1
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作者 武志辉 惠军 《合肥工业大学学报(自然科学版)》 CAS CSCD 北大核心 2008年第6期985-987,991,共4页
文章针对时间序列中函数系数自回归模型给出其推广形式,借助向后拟合的思想介绍推广形式中函数系数部分和参数部分的估计,该方法可以得到模型中的常值系数估计量的精确表达式;并通过一个数值模拟表明所提出的估计方法具有可行性和稳定性。
关键词 时间序列 函数系数自回归模型 局部线性估计 向后拟合法
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改进聚类算法区域划分下三维异型凸体铣削规划
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作者 胡伟石 张浩 +4 位作者 邵辉 孙莎莎 洪雪梅 尹方辰 黄吉祥 《华侨大学学报(自然科学版)》 2026年第1期112-118,共7页
为了提高三维异形曲面铣削效率,提出一种稳定性区域划分与走刀方向优化方法。首先,设计一种基于权重和概率的K-means聚类(WPK-means)算法,通过加权距离和概率函数优化初始聚类中心,实现稳定曲面分区;然后,采用最优曲线拟合法,以最长截... 为了提高三维异形曲面铣削效率,提出一种稳定性区域划分与走刀方向优化方法。首先,设计一种基于权重和概率的K-means聚类(WPK-means)算法,通过加权距离和概率函数优化初始聚类中心,实现稳定曲面分区;然后,采用最优曲线拟合法,以最长截交曲线确定走刀方向,减少进退刀次数,提升材料去除率。最后,通过仿真实验进行有效性验证,并与其他改进的K-means聚类算法进行对比。结果表明:文中算法具有较好的准确率。 展开更多
关键词 概率函数 WPK-means算法 区域划分 最优曲线拟合法
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Performance on the Functional Movement Screen in older active adults 被引量:3
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作者 Ulrike H.Mitchell A.Wayne Johnson +2 位作者 Pat R.Vehrs J.Brent Feland Sterling C.Hilton 《Journal of Sport and Health Science》 SCIE 2016年第1期119-125,共7页
Background:The Functional Movement Screen(FMS^(TM)) has become increasingly popular for identifying functional limitations in basic functional movements.This exploratory and descriptive study was undertaken to confirm... Background:The Functional Movement Screen(FMS^(TM)) has become increasingly popular for identifying functional limitations in basic functional movements.This exploratory and descriptive study was undertaken to confirm feasibility of performing the FMS^(TM) in older active adults,assess prevalence of asymmetries and to evaluate the relationship between functional movement ability,age,physical activity levels and body mass index(BMI).Methods:This is an observational study;97 men(n = 53) and women(n = 44) between the ages of 52 and 83 participated.BMI was computed and self-reported physical activity levels were obtained.Subjects were grouped by age(5-year intervals),BMI(normal,over-weight,and obese)and sex.Each participant's performance on the FMS^(TM) was digitally recorded for later analysis.Results:The youngest age group(50–54 years) scored highest in all seven tests and the oldest age group(75+) scored lowest in most of the tests compared to all other age groups.The subjects in the 'normal weight' group performed no different than those who were in the 'overweight' group;both groups performed better than the 'obese' group.Of the 97 participants 54 had at least one asymmetry.The pairwise correlations between the total FMS^(TM) score and age(r =-0.531),BMI(r =-0.270),and the measure of activity level(r = 0.287) were significant(p < 0.01 for all).Conclusion:FMS^(TM) scores decline with increased BMI,increased age,and decreased activity level.The screen identifies range of motion-and strength-related asymmetries.The FMS^(TM) can be used to assess functional limitations and asymmetries.Future research should evaluate if a higher total FMS^(TM) score is related to fewer falls or injuries in the older population. 展开更多
关键词 Age BMI fitness level FMS^(TM) functional fitness functional limitations
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The Trace Elements are Bounded by Organic Functional Groups in Coal:A Studying Result Based on FTIR Analysis 被引量:5
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作者 YANG Jianye WANG Guangheng ZHANG Weiguo 《Acta Geologica Sinica(English Edition)》 SCIE CAS CSCD 2016年第1期154-165,共12页
The relationship between trace elements in coal and organic functional groups of coal, also some of aromatic structure, was investigated by using curve fitting of infrared spectra. Cluster analysis was also performed ... The relationship between trace elements in coal and organic functional groups of coal, also some of aromatic structure, was investigated by using curve fitting of infrared spectra. Cluster analysis was also performed according to the degree of affinity of organic groups to the trace elements. The results show that there is a possibility that trace elements, especially LREE, were bound to peripheral organic functional groups of middle rank coal macromolecule. The most possible functional group that binds trace element is the hydroxyl, and to the less degree, the asymmetric -CH3 and 〉CH2 stretching, -CH3 stretching, etc. The degree of affinity of trace elements to different functional groups varies. The tendency obeys the natural structural changing law of trace elements-- the periodic law. The deviation of some trace elements from this regular trend is attributed to the deviation of intrinsic "confusion degree" (conventional molar entropy) of the matter system of coal basin, which is affected by the inner and outer factors during the evolution. 展开更多
关键词 curve fitting organic functional groups in coal trace element periodic law of elements
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A comparison of piecewise cubic Hermite interpolating polynomials,cubic splines and piecewise linear functions for the approximation of projectile aerodynamics 被引量:5
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作者 C.A.Rabbath D.Corriveau 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2019年第5期741-757,共17页
Modelling and simulation of projectile flight is at the core of ballistic computer software and is essential to the study of performance of rifles and projectiles in various engagement conditions.An effective and repr... Modelling and simulation of projectile flight is at the core of ballistic computer software and is essential to the study of performance of rifles and projectiles in various engagement conditions.An effective and representative numerical model of projectile flight requires a relatively good approximation of the aerodynamics.The aerodynamic coefficients of the projectile model should be described as a series of piecewise polynomial functions of the Mach number that ideally meet the following conditions:they are continuous,differentiable at least once,and have a relatively low degree.The paper provides the steps needed to generate such piecewise polynomial functions using readily available tools,and then compares Piecewise Cubic Hermite Interpolating Polynomial(PCHIP),cubic splines,and piecewise linear functions,and their variant,as potential curve fitting methods to approximate the aerodynamics of a generic small arms projectile.A key contribution of the paper is the application of PCHIP to the approximation of projectile aerodynamics,and its evaluation against a set of criteria.Finally,the paper provides a baseline assessment of the impact of the polynomial functions on flight trajectory predictions obtained with 6-degree-of-freedom simulations of a generic projectile. 展开更多
关键词 Aerodynamic coefficients PIECEWISE POLYNOMIAL functionS CUBIC splines Curve fitting PIECEWISE linear functionS PIECEWISE CUBIC HERMITE interpolating POLYNOMIAL PROJECTILE modelling and simulation Fire control inputs Precision Ballistic computer software
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GENETIC ALGORITHM WITH FUZZY FITNESS EVALUATION
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作者 Huang Jianjun(1105 Lab., Northwestern Polytechnical University, Xi’an, 710072)Xie Weixin (202 Lab. , School of Electronic Engineering, Xidian University, Xi’an, 710071) 《Journal of Electronics(China)》 1998年第3期254-258,共5页
Using a fuzzy estimator to evaluate the fitness of chromosomes in a genetic algorithm and adaptively training it in the evolutionary process, the genetic algorithm with fuzzy fitness evaluation is proposed to reduce t... Using a fuzzy estimator to evaluate the fitness of chromosomes in a genetic algorithm and adaptively training it in the evolutionary process, the genetic algorithm with fuzzy fitness evaluation is proposed to reduce the computation time of the algorithm. An analysis on the optimization performance of the proposed algorithm shows that it maintains good performance with its computation time saved. Finally, simulation results on design of a fuzzy controller are presented. 展开更多
关键词 FUZZY evaluation fitNESS function GENETIC algorithm COMPUTATION time
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Differences in Body Composition and Physical Fitness in Elderly Men and Women
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作者 Zvonko Mlljkovic Goran Sporis +2 位作者 Zeljko Vukic Zoran Milanovic Sasa Pantelic 《Journal of Chemistry and Chemical Engineering》 2013年第6期560-565,共6页
The aim of this study was to determine differences in body composition and physical fitness in elderly men and women. Five hundred twenty six subjects were included in this study, 272 were men (52%) and 254 women (... The aim of this study was to determine differences in body composition and physical fitness in elderly men and women. Five hundred twenty six subjects were included in this study, 272 were men (52%) and 254 women (48%). To determine the trend of changes of anthropometric parameters and physical fitness in people aged over 60, the authors were divided subjects in 5 age groups: 60-64, 65-69, 70-74, 75-79 and over 80 years of age. Decrease in strength is observed with the aging process so that the respondents aged 60-64 years significantly differ in the strength of the lower extremities of elderly subjects 70-74 and 75-79 years of age. Also this difference is noticeable if they compare with men and women. In this study, they found that there was an increase in the amount of adipose tissue, reducing the level of muscle activity and decreased muscle strength and endurance of the aging process. 展开更多
关键词 Older people functional fitness REDUCTION body mass index.
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Separating Overlapped Peaks of SF6 Decomposed Products Based on Iterative Curve-fitting Method
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作者 ZHANG Xiao-xing XIE Yan-bin YAO Yao TANG Ju REN Jiang-bo 《高电压技术》 EI CAS CSCD 北大核心 2008年第12期2708-2712,共5页
The SF6 decomposed products are very alike,so the peaks of the SF6 decomposed products are overlapped.It make us hard to quantitatively calculate.This paper introduced a method to separate the overlapped chromatogram ... The SF6 decomposed products are very alike,so the peaks of the SF6 decomposed products are overlapped.It make us hard to quantitatively calculate.This paper introduced a method to separate the overlapped chromatogram peaks with iterative curve-fitting and Gauss function,and deduced the formula of the iterative curve-fitting;provided a method to calculate the initial value of the peaks intensity and width by iterative formula,and confirm the final peaks intensity and width to separate the overlapped signals.By the analysis of the real chromatogram data,it proved the validity of this method on the main components used in distinguishing the GIS internal defects.This method overcomes the influence of SF6 peak to the other thin concentration peaks,so it can be used in the study of the quantitative analysis of the decomposed products on different failures and different voltages. 展开更多
关键词 曲线拟合法 SF6分解组分 重叠色谱峰 分离 高斯函数
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基于学习型多策略改进鲸鱼算法的路径规划研究 被引量:4
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作者 岳凡 艾尔肯·亥木都拉 刘拴 《组合机床与自动化加工技术》 北大核心 2025年第2期46-51,56,共7页
为解决机器人在路径规划中路径过长与后期寻优停滞的问题,提出了一种学习型多策略改进鲸鱼优化算法(reinforcement learning multi-strategy improvement whale optimization algorithm,RLMIWOA),并在欧式距离的基础上引入了障碍物信息... 为解决机器人在路径规划中路径过长与后期寻优停滞的问题,提出了一种学习型多策略改进鲸鱼优化算法(reinforcement learning multi-strategy improvement whale optimization algorithm,RLMIWOA),并在欧式距离的基础上引入了障碍物信息与拐点信息,构建了路径规划适应度函数。首先,引入自适应帐篷映射初始化,使得初始化种群更加均匀;其次,引入了非线性收敛策略平衡算法的开发和探索阶段;然后,通过采用非线性加权因子对最优个体进行扰动,避免了其他个体对最优个体的“盲从”;最后,通过采用强化学习结合ε-精英逐维反向学习策略和动态局部最优逃生策略,提高了算法的收敛效率和跳出局部最优的能力。实验结果表明:RLMIWOA算法可以高效地找到最优路径,在路径搜索方面具有显著的优势。 展开更多
关键词 路径规划 强化学习 鲸鱼优化算法 适应度函数 局部最优
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基于粒子群优化的公路路线走廊带智能优选方法 被引量:2
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作者 贾兴利 肖展 +2 位作者 郭军恒 付玉佳 邓豫 《长安大学学报(自然科学版)》 北大核心 2025年第2期14-23,共10页
为提升公路路线走廊带的多目标决策效率,探究耦合约束下路线空间位置自动更新机制。首先,以粒子群算法理论为基础,界定面向公路路线走廊带空间曲线特性的相对空间位置内涵,提出相对空间位置的分阶段-再分配动态更新方法,构建基于粒子群... 为提升公路路线走廊带的多目标决策效率,探究耦合约束下路线空间位置自动更新机制。首先,以粒子群算法理论为基础,界定面向公路路线走廊带空间曲线特性的相对空间位置内涵,提出相对空间位置的分阶段-再分配动态更新方法,构建基于粒子群优化的公路路线走廊带智能优选模型;其次,筛选并建立包含地形、地质、水文、环境及占地的公路选线约束因子体系,考虑路线与约束因子间相互作用关系,分别求解地形适应度和费用适应度的函数表达,提出公路路线走廊带智能优选流程;最后,以河谷区高速公路工程为例,开展公路路线方案智能生成和结果分析。研究结果表明:经过20次迭代后适应度出现显著下降,并在迭代至2000代后保持稳定,通过设置相对空间位置实现了路线段点的方向更新,转换后的单元位置寻优可以有效解决粒子群算法趋于局部空间搜索的问题;优化后的选线方法表现出对地形函数的高适应度,并可有效降低工程经济费用;分阶段-再分配的位置更新方法可提高模型寻优能力,地形适应度较未进行再分配的路线方案提高了1.2%,工程经济费用降低了38.4%;与人工方案相比,优化方案的工程费用降低了9.22%。综上所述,基于粒子群优化的公路路线走廊带智能优选方法可兼顾地形与工程经济费用,为人工选线提供重要参考。 展开更多
关键词 道路工程 路线走廊带 智能选线 粒子群优化 适应度函数
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改进PSO-PH-RRT^(*)算法在智能车路径规划中的应用 被引量:2
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作者 蒋启龙 许健 《东北大学学报(自然科学版)》 北大核心 2025年第3期12-19,共8页
在机器人控制、智能车自主导航等应用场景中,路径规划需要考虑到环境中的障碍物、地形等因素.针对路径规划中快速拓展随机树(RRT)算法拓展目标方向盲目、效率较低的问题,提出了基于粒子群算法优化的均匀概率快速拓展随机树(PSO-PH-RRT^(... 在机器人控制、智能车自主导航等应用场景中,路径规划需要考虑到环境中的障碍物、地形等因素.针对路径规划中快速拓展随机树(RRT)算法拓展目标方向盲目、效率较低的问题,提出了基于粒子群算法优化的均匀概率快速拓展随机树(PSO-PH-RRT^(*))算法.该算法在基于均匀概率的快速拓展随机树(PHRRT^(*))算法的基础上,利用粒子群算法更新方向概率作为随机树节点的速度方向,从而改善了节点的位置更新策略,并将节点到目标向量的距离和轨迹平滑度作为粒子群算法的适应度函数.最后在多种障碍环境下进行仿真.结果表明,PSO-PH-RRT^(*)算法能大大减少迭代时间成本,同时改善路径长度和平滑度. 展开更多
关键词 路径规划 RRT算法 改进粒子群优化算法 目标向量 代价函数 适应度函数
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Comparison of the Chapman-Richards Function with the Schnute Model in Stand growth 被引量:2
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作者 李凤日 王永和 侯丽君 《Journal of Forestry Research》 SCIE CAS CSCD 1997年第3期137-143,共7页
The Chapman-Richards Function and its two exception cases in applications were discussed and compared with the Schnute model in stand growth studies. Compared from all perspective, it was found that the Schnute model ... The Chapman-Richards Function and its two exception cases in applications were discussed and compared with the Schnute model in stand growth studies. Compared from all perspective, it was found that the Schnute model commonly used in foreitry was identical to the Chapman-Richards function. If some parameter in the Chapman-Richdrds Function was unconstraint, the function could also be very versatile to fit some exceptional growth curves, the fitted function should be identical to that the Schnute model. 展开更多
关键词 Chapman-Richards function Schnute model Stand growth Model fitting
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基于van Genuchten模型土壤水分特征曲线的vanfit和MATLAB软件模拟研究 被引量:3
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作者 罗小清 杨屹杰 唐辉亮 《农业灾害研究》 2023年第7期254-256,共3页
研究了土壤水分特征曲线对探讨土壤水分运动机理及溶质运移动力学机制具有重要科学意义。由于测定土壤水分特征曲线的长历时性和时间限制,在从相关参考文献中提取土壤水分特征曲线测定数据的基础上,建立土壤水分特征曲线的资料库,采用va... 研究了土壤水分特征曲线对探讨土壤水分运动机理及溶质运移动力学机制具有重要科学意义。由于测定土壤水分特征曲线的长历时性和时间限制,在从相关参考文献中提取土壤水分特征曲线测定数据的基础上,建立土壤水分特征曲线的资料库,采用van Genuchten模型对土壤水分特征曲线进行描述,分别应用vanfit软件和MATLAB软件下的lsqcurvefit函数2种方法对土壤进行van Genuchten模型下的4个参数拟合分析。结果表明,2个程序拟合结果大体相近且优良,均方差较小,拟合曲线大致相同,且土壤质地不同,其土壤水分特征曲线差别较大。 展开更多
关键词 土壤水分特征曲线 van Genuchten模型 参数拟合 vanfit软件 lsqcurvefit函数
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