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Normalized Solutions of Nonlinear Choquard Equations with Nonconstant Potential
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作者 LI Nan XU Liping 《应用数学》 北大核心 2025年第1期14-29,共16页
In this paper,we mainly focus on a type of nonlinear Choquard equations with nonconstant potential.Under appropriate hypotheses on potential function and nonlinear terms,we prove that the above Choquard equation with ... In this paper,we mainly focus on a type of nonlinear Choquard equations with nonconstant potential.Under appropriate hypotheses on potential function and nonlinear terms,we prove that the above Choquard equation with prescribed 2-norm has some normalized solutions by introducing variational methods. 展开更多
关键词 Nonlinear Choquard equation Potential function Variational method Normalized solution
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Stochastic Periodic Solutions for Two Populations Game Models with Impulses
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作者 HOU Meiting QIU Xiaoling 《应用数学》 北大核心 2025年第2期453-467,共15页
The article studies the evolutionary dynamics of two-population two-strategy game models with and without impulses. First, the payment matrix is given and two evolutionary dynamics models are established by adding sto... The article studies the evolutionary dynamics of two-population two-strategy game models with and without impulses. First, the payment matrix is given and two evolutionary dynamics models are established by adding stochastic and impulse. For the stochastic model without impulses, the existence and uniqueness of solution, and the existence of positive periodic solutions are proved, and a sufficient condition for strategy extinction is given. For the stochastic model with impulses, the existence of positive periodic solutions is proved. Numerical results show that noise and impulses directly affect the model, but the periodicity of the model does not change. 展开更多
关键词 Periodic solution Stochastic game IMPULSES Strategy extinct
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Existence of Multi-bump Solutions for Planar Schrödinger-Poisson System
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作者 ZHANG Xiaoyun 《应用数学》 北大核心 2025年第4期1053-1066,共14页
In this paper,by using the method of Lyapunov-Schmidt reduction,we obtain the existence of multi-bump solutions for planar Schrödinger-Poisson system.
关键词 Planar Schrödinger-Poisson system Multi-bump solution Lyapunov-Schmidt reduction
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Periodic Traveling Wave Solutions of a Single Population Model with Advection and Distributed Delay
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作者 GUO Zilin YU Tao TANG Xiaosong 《应用数学》 北大核心 2025年第4期988-995,共8页
In this paper,we investigate the periodic traveling wave solutions problem for a single population model with advection and distributed delay.By the bifurcation analysis method,we can obtain periodic traveling wave so... In this paper,we investigate the periodic traveling wave solutions problem for a single population model with advection and distributed delay.By the bifurcation analysis method,we can obtain periodic traveling wave solutions for this model under the influence of advection term and distributed delay.The obtained results indicate that weak kernel and strong kernel can both deduce the existence of periodic traveling wave solutions.Finally,we apply the main results in this paper to Logistic model and Nicholson’s blowflies model. 展开更多
关键词 Single population model Advection Distributed delay Periodic traveling wave solution
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Normalized Positive Ground State Solutions for Nonhomogeneous Kirchhoff Equations
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作者 ZHANG Xiaocang XU Liping 《应用数学》 北大核心 2025年第3期711-720,共10页
This article studies a class of nonlinear Kirchhoff equations with exponential critical growth,trapping potential,and perturbation.Under appropriate assumptions about f and h,the article obtained the existence of norm... This article studies a class of nonlinear Kirchhoff equations with exponential critical growth,trapping potential,and perturbation.Under appropriate assumptions about f and h,the article obtained the existence of normalized positive solutions for this equation via the Trudinger-Moser inequality and variational methods.Moreover,these solutions are also ground state solutions.Additionally,the article also characterized the asymptotic behavior of solutions.The results of this article expand the research of relevant literature. 展开更多
关键词 Normalized positive ground state solution Nonhomogeneous Kirchhoff equation Variational method Exponential critical growth Trapping potential
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THE ASYMPTOTIC BEHAVIOR OF SOLUTION FOR THE SINGULARLY PERTURBED INITIAL BOUNDARY VALUE PROBLEMS OF THE REACTION DIFFUSION EQUATIONS IN A PART OF DOMAIN
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作者 刘其林 莫嘉琪 《应用数学和力学》 EI CSCD 北大核心 2001年第10期1075-1080,共6页
A class of singularly perturbed initial boundary value problems for the reaction diffusion equations in a part of domain are considered. Using the operator theory the asymptotic behavior of solution for the problems i... A class of singularly perturbed initial boundary value problems for the reaction diffusion equations in a part of domain are considered. Using the operator theory the asymptotic behavior of solution for the problems is studied. 展开更多
关键词 奇摄动 反应扩散方程 初始边值问题 算子理论 渐近性态
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Multiple optimal solutions to a sort of nonlinear optimization problem 被引量:2
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作者 Xue Shengjia 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2007年第1期63-67,共5页
The optimization problem is considered in which the objective function is pseudolinear(both pseudoconvex and pseudoconcave) and the constraints are linear. The general expression for the optimal solutions to the pro... The optimization problem is considered in which the objective function is pseudolinear(both pseudoconvex and pseudoconcave) and the constraints are linear. The general expression for the optimal solutions to the problem is derived with the representation theorem of polyhedral sets, and the uniqueness condition of the optimal solution and the computational procedures to determine all optimal solutions (if the uniqueness condition is not satisfied ) are provided. Finally, an illustrative example is also given. 展开更多
关键词 Pseudolinear optimization problem Polyhedral set Representation theorem Multiple optimal solutions Convex simplex method
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Solution for integer linear bilevel programming problems using orthogonal genetic algorithm 被引量:10
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作者 Hong Li Li Zhang Yongchang Jiao 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2014年第3期443-451,共9页
An integer linear bilevel programming problem is firstly transformed into a binary linear bilevel programming problem, and then converted into a single-level binary implicit programming. An orthogonal genetic algorith... An integer linear bilevel programming problem is firstly transformed into a binary linear bilevel programming problem, and then converted into a single-level binary implicit programming. An orthogonal genetic algorithm is developed for solving the binary linear implicit programming problem based on the orthogonal design. The orthogonal design with the factor analysis, an experimental design method is applied to the genetic algorithm to make the algorithm more robust, statistical y sound and quickly convergent. A crossover operator formed by the orthogonal array and the factor analysis is presented. First, this crossover operator can generate a smal but representative sample of points as offspring. After al of the better genes of these offspring are selected, a best combination among these offspring is then generated. The simulation results show the effectiveness of the proposed algorithm. 展开更多
关键词 integer linear bilevel programming problem integer optimization genetic algorithm orthogonal experiment design
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Numerical Solution of Constrained Mechanical System Motions Equations and Inverse Problems of Dynamics 被引量:2
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作者 R.G. Muharliamov (Russian Peoples’ Friendship University, 117198, Moscow, Mikluho Maklaya,6,Russia.) 《应用数学》 CSCD 北大核心 2001年第2期103-119,共17页
In this paper the method of design of kinematical and dynamical equations of mechanical systems, applied to numerical ealization, is proposed. The corresponding difference equations, which are obtained, give a guarant... In this paper the method of design of kinematical and dynamical equations of mechanical systems, applied to numerical ealization, is proposed. The corresponding difference equations, which are obtained, give a guarantee of computations with a given precision. The equations of programmed constraints and those of constraint perturbations are defined. The stability of the programmed manifold for numerical solutions of the kinematical and dynamical equations is obtained by corresponding construction of the constraint perturbation equations. The dynamical equations of system with programmed constraints are set up in the form of Lagrange’s equations in generalized coordinates. Certain inverse problems of rigid body dynamics are examined. 展开更多
关键词 Kinematies Dynamical equations CONSTRAINTS Lagrange’s equations Rigid body Numerical solution Differential algebraic equations
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Single-Entity Collisional Electrochemistry at the Micro-and/or Nano-Interface Between Two Immiscible Electrolyte Solutions
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作者 Li-Fang Yang Jun-Jie Chen +7 位作者 Ling-Yu Chen Si-Qi Jin Tao-Xiong Fang Si-Jia He Liang-Jun Shen Xin-Jian Huang Xiao-Hang Sun Hai-Qiang Deng 《电化学(中英文)》 CAS 北大核心 2024年第11期1-16,I0001,共17页
Single-entity collisional electrochemistry(SECE)is a branch of single-entity electrochemistry.It can directly characterize entities/particles with single particle resolution through random collisions between particles... Single-entity collisional electrochemistry(SECE)is a branch of single-entity electrochemistry.It can directly characterize entities/particles with single particle resolution through random collisions between particles and electrodes in a solution,and obtain rich physicochemical information,thus becoming one of the frontiers of electroanalytical chemistry in the past two decades.Interestingly,the(micro/nanoscale)sensing electrodes have evolved from a polarizable liquid/liquid(mercury/liquid)interface to a solid/liquid interface and then to a liquid/liquid interface(i.e.,an interface between twoimmiscible electrolyte solutions,ITIES),as if they have completed a cycle(but in fact they have not).ITIES has become the latest sensing electrode in the booming SECE due to its polarizability(up to 1.1 V at the water/a,a,a-trifluorotoluene interface)and high reproducibility.The four measurement modes(direct electrolysis,mediated electrolysis,current blockade,and charge displacement)developed in the realm of SECE at solid/liquid interfaces have also been fully realized at the miniature ITIES.This article will discuss these four modes at the ITIES from the perspectives of basic concepts,operating mechanisms,and latest developments(e.g.,discovery of ionosomes,blockade effect of Faradaic ion transfer,etc.),and look forward to the future development and direction of this emerging field. 展开更多
关键词 Single-entity collisional electrochemistry Interface between two immiscible electrolyte solutions Charge transfer
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Unconditionally stable Crank-Nicolson algorithm with enhanced absorption for rotationally symmetric multi-scale problems in anisotropic magnetized plasma
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作者 WEN Yi WANG Junxiang XU Hongbing 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2024年第1期65-73,共9页
Large calculation error can be formed by directly employing the conventional Yee’s grid to curve surfaces.In order to alleviate such condition,unconditionally stable CrankNicolson Douglas-Gunn(CNDG)algorithm with is ... Large calculation error can be formed by directly employing the conventional Yee’s grid to curve surfaces.In order to alleviate such condition,unconditionally stable CrankNicolson Douglas-Gunn(CNDG)algorithm with is proposed for rotationally symmetric multi-scale problems in anisotropic magnetized plasma.Within the CNDG algorithm,an alternative scheme for the simulation of anisotropic plasma is proposed in body-of-revolution domains.Convolutional perfectly matched layer(CPML)formulation is proposed to efficiently solve the open region problems.Numerical example is carried out for the illustration of effectiveness including the efficiency,resources,and absorption.Through the results,it can be concluded that the proposed scheme shows considerable performance during the simulation. 展开更多
关键词 anisotropic magnetized plasma body-of-revolution(BOR) Crank-Nicolson Douglas-Gunn(CNDG) finite-difference time-domain(FDTD) perfectly matched layer(PML) rotationally symmetric multi-scale problems
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The Solution to Current Psychosocial Problems and the “Unfulfilled Enlightenment” of Modernity in the New Era
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作者 Sun Shujing 《学术界》 CSSCI 北大核心 2019年第9期208-216,共9页
The transition period of Chinese society has spawned many psychosocial problems in China,which are characterized by high incidence,universality and growth. Compared with social and economic development,the devel-opmen... The transition period of Chinese society has spawned many psychosocial problems in China,which are characterized by high incidence,universality and growth. Compared with social and economic development,the devel-opment of social psychology has been relatively slow for a long time,which has led to the prevalence of psychosocial problems and the lack of modernity cultivation in China's modernization. Xi Jinping theory on socialism with Chi-nese characteristics(SCC) in the new era is a scientific plan for the all - round development and modernization of SCC,and it contains rich ideas of modernity. It is also the ideological inheritance and innovation of Marx's "full and free development of human beings",and the basic strategy of cultivating the modernity of the new era. Therefore,it is an important way to solve the current psychosocial problems in China through the Marxist theory and the "unfulfilled enlightenment" of the theory of the new era. 展开更多
关键词 PSYCHOSOCIAL problems modernity new ERA unfulfilled ENLIGHTENMENT
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Solution loss behavior of cokes and its kinetics under hydrogen-enriched atmosphere
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作者 YAN Jingchong MA Kaixiang +6 位作者 GE Rong LEI Zhiping LI Zhanku ZHANG Weidong REN Shibiao WANG Zhicai SHUI Hengfu 《燃料化学学报(中英文)》 北大核心 2025年第7期1123-1136,共14页
Hydrogen-enriched ironmaking presents a promising approach to mitigate coke consumption and carbon emission in blast furnace(BF)operations.This work investigated the relationship between the structural features of cok... Hydrogen-enriched ironmaking presents a promising approach to mitigate coke consumption and carbon emission in blast furnace(BF)operations.This work investigated the relationship between the structural features of cokes and their reactivity towards solution loss(SL),especially under hydrogen-enriched atmospheres.Six cokes were characterized,and their SL behaviors were examined under varying atmospheres to elucidate the effects of hydrogen enrichment.The results indicate that an increase in fixed carbon content leads to a decrease in the coke reactivity index(CRI)and an increase in coke strength after reaction(CSR),in the CO_(2) atmosphere,the CSR of coke increases from 35.76%−62.83%,while in the 90CO_(2)/10H_(2) atmosphere,the CSR of coke increases from 65.67%−84.09%.There is a good linear relationship between CRI and microcrystalline structure parameters of coke.Cokes with larger crystalline size,lower amorphous content,and smaller optical texture index(OTI)values show enhanced resistance to degradation and maintain structural integrity in BF.Kinetic analysis performed with the shifted-modified-random pore model(S-MRPM)reveals that alterations in pore structure and intrinsic mineral composition significantly influence the reaction rate.The introduction of a small amount of water vapor raises SL rates,whereas a minor addition of hydrogen(<10%)decelerates SL due to its incomplete conversion to water vapor and the reduced partial pressure of the gasifying agent.Thermodynamic calculations also indicate that the introduced hydrogen does not convert into the same fraction of water vapor.The shift from chemical reaction control to gas diffusion control as the rate-determining step with rising temperatures during SL process was confirmed,and the introduction of hydrogen does not notably alter SL behavior.This result demonstrated that introducing a small amount of hydrogen(<10%)can mitigate SL rates,thereby enhancing coke strength and reducing coke consumption and carbon emissions. 展开更多
关键词 hydrogen-enrichment cokes solution loss KINETICS activation energy
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Introduction to the Problems of Relativistic and Absolute Space, Time, and Motion
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作者 H.E.Wilhelm 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 1995年第4期1-24,共24页
关键词 STR Time and Motion Introduction to the problems of Relativistic and Absolute Space GTR IFS
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Stress gradient analytic solution and reasonable support prestress of roadway surrounding rock based on unified strength criterion:A case study
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作者 JING Suo-lin WEN Zhi-jie +2 位作者 ZUO Yu-jun LI Qiu-ju HAO Peng 《Journal of Central South University》 2025年第2期449-468,共20页
The stress gradient of surrounding rock and reasonable prestress of support are the keys to ensuring the stability of roadways.The elastic-plastic analytical solution for surrounding rock was derived based on unified ... The stress gradient of surrounding rock and reasonable prestress of support are the keys to ensuring the stability of roadways.The elastic-plastic analytical solution for surrounding rock was derived based on unified strength theory.A model for solving the stress gradient of the surrounding rock with the intermediate principal stress parameter b was established.The correctness and applicability of the solution for the stress gradient in the roadway surrounding rock was verified via multiple methods.Furthermore,the laws of stress,displacement,and the plastic zone of the surrounding rock with different b values and prestresses were revealed.As b increases,the stress gradient in the plastic zone increases,and the displacement and plastic zone radius decrease.As the prestress increases,the peak stress shifts toward the sidewalls,and the stress and stress gradient increments decrease.In addition,the displacement increment and plastic zone increment were proposed to characterize the support effect.The balance point of the plastic zone area appears before that of the displacement zone.The relationship between the stress gradient compensation coefficient and the prestress is obtained.This study provides a research method and idea for determining the reasonable prestress of support in roadways. 展开更多
关键词 PRESTRESS support compensation surrounding rock damage stress gradient analytic solution unified strength theory
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Current development and future prospects of multi-target assignment problem:A bibliometric analysis review
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作者 Shuangxi Liu Zehuai Lin +1 位作者 Wei Huang Binbin Yan 《Defence Technology(防务技术)》 2025年第1期44-59,共16页
The multi-target assignment(MTA)problem,a crucial challenge in command control,mission planning,and a fundamental research focus in military operations,has garnered significant attention over the years.Extensively stu... The multi-target assignment(MTA)problem,a crucial challenge in command control,mission planning,and a fundamental research focus in military operations,has garnered significant attention over the years.Extensively studied across various domains such as land,sea,air,space,and electronics,the MTA problem has led to the emergence of numerous models and algorithms.To delve deeper into this field,this paper starts by conducting a bibliometric analysis on 463 Scopus database papers using CiteSpace software.The analysis includes examining keyword clustering,co-occurrence,and burst,with visual representations of the results.Following this,the paper provides an overview of current classification and modeling techniques for addressing the MTA problem,distinguishing between static multi-target assignment(SMTA)and dynamic multi-target assignment(DMTA).Subsequently,existing solution algorithms for the MTA problem are reviewed,generally falling into three categories:exact algorithms,heuristic algorithms,and machine learning algorithms.Finally,a development framework is proposed based on the"HIGH"model(high-speed,integrated,great,harmonious)to guide future research and intelligent weapon system development concerning the MTA problem.This framework emphasizes application scenarios,modeling mechanisms,solution algorithms,and system efficiency to offer a roadmap for future exploration in this area. 展开更多
关键词 Multi-target assignment Offensive and defensive confrontation Cooperative operation Modeling mechanism solution algorithm CiteSpace analysis
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Thermal and solutal Marangoni convection in three-layered viscous flows:Insights for liquid metal battery optimization
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作者 SHAHEEN Sidra HUANG Hu-lin +2 位作者 ARAIN Muhammad Bilal BHATTI Muhammad Mubashir KHALIQUE Chaudry Masood 《Journal of Central South University》 2025年第6期2087-2100,共14页
This study examines the intricate occurrences of thermal and solutal Marangoni convection in three-layered flows of viscous fluids,with a particular emphasis on their relevance to renewable energy systems.This researc... This study examines the intricate occurrences of thermal and solutal Marangoni convection in three-layered flows of viscous fluids,with a particular emphasis on their relevance to renewable energy systems.This research examines the flow of a three-layered viscous fluid,considering the combined influence of heat and solutal buoyancy driven Rayleigh-Bénard convection,as well as thermal and solutal Marangoni convection.The homotopy perturbation method is used to examine and simulate complex fluid flow and transport phenomena,providing important understanding of the fundamental physics and assisting in the optimization of various battery configurations.The inquiry examines the primary elements that influence Marangoni convection and its impact on battery performance,providing insights on possible enhancements in energy storage devices.The findings indicate that the velocity profiles shown graphically exhibit a prominent core zone characterized by the maximum speed,which progressively decreases as it approaches the walls of the channel.This study enhances our comprehension of fluid dynamics and the transmission of heat and mass in intricate systems,which has substantial ramifications for the advancement of sustainable energy solutions. 展开更多
关键词 viscous fluid three-layered closed geometries electrical conductivity thermal convection solutal convection mass diffusivity homotopy perturbation methods
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Two-phase heuristic for vehicle routing problem with drones in multi-trip and multi-drop mode
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作者 MA Huawei HU Xiaoxuan ZHU Waiming 《Journal of Systems Engineering and Electronics》 2025年第4期1024-1036,共13页
As commercial drone delivery becomes increasingly popular,the extension of the vehicle routing problem with drones(VRPD)is emerging as an optimization problem of inter-ests.This paper studies a variant of VRPD in mult... As commercial drone delivery becomes increasingly popular,the extension of the vehicle routing problem with drones(VRPD)is emerging as an optimization problem of inter-ests.This paper studies a variant of VRPD in multi-trip and multi-drop(VRP-mmD).The problem aims at making schedules for the trucks and drones such that the total travel time is minimized.This paper formulate the problem with a mixed integer program-ming model and propose a two-phase algorithm,i.e.,a parallel route construction heuristic(PRCH)for the first phase and an adaptive neighbor searching heuristic(ANSH)for the second phase.The PRCH generates an initial solution by con-currently assigning as many nodes as possible to the truck–drone pair to progressively reduce the waiting time at the rendezvous node in the first phase.Then the ANSH improves the initial solution by adaptively exploring the neighborhoods in the second phase.Numerical tests on some benchmark data are conducted to verify the performance of the algorithm.The results show that the proposed algorithm can found better solu-tions than some state-of-the-art methods for all instances.More-over,an extensive analysis highlights the stability of the pro-posed algorithm. 展开更多
关键词 vehicle routing problem with drones(VRPD) mixed integer program parallel route construction heuristic(PRCH) adaptive neighbor searching heuristic(ANSH).
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基于系统思考的AL Solutions粉尘爆炸事故分析 被引量:14
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作者 李红玉 樊运晓 《安全与环境工程》 CAS 2016年第2期90-95,共6页
近年来粉尘爆炸事故频频发生且后果严重,已造成重大生命和财产损失,同时也产生了不良的社会影响。通过系统思考的方法来分析粉尘爆炸事故原因,以美国AL Solutions粉尘爆炸事故为案例,对事故系统内涉及的主体行为模式进行分析,找出要素... 近年来粉尘爆炸事故频频发生且后果严重,已造成重大生命和财产损失,同时也产生了不良的社会影响。通过系统思考的方法来分析粉尘爆炸事故原因,以美国AL Solutions粉尘爆炸事故为案例,对事故系统内涉及的主体行为模式进行分析,找出要素间相互作用的因果关系构建因果循环图,并结合系统思考的基模探索主体行为模式在动态发展中支配回路的变化情况,分析解决此类事故的杠杆解,从而提出预防事故的建议与措施。 展开更多
关键词 系统思考 AL solutions粉尘爆炸事故 因果循环回路 事故分析
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Using Data Mining to Find Patterns in Ant Colony Algorithm Solutions to the Travelling Salesman Problem
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作者 阎世梁 王银玲 《现代电子技术》 2007年第5期117-119,共3页
Travelling Salesman Problem(TSP) is a classical optimization problem and it is one of a class of NP-Problem.The purposes of this work is to apply data mining methodologies to explore the patterns in data generated by ... Travelling Salesman Problem(TSP) is a classical optimization problem and it is one of a class of NP-Problem.The purposes of this work is to apply data mining methodologies to explore the patterns in data generated by an Ant Colony Algorithm(ACA) performing a searching operation and to develop a rule set searcher which approximates the ACA′s searcher.An attribute-oriented induction methodology was used to explore the relationship between an operations′ sequence and its attributes and a set of rules has been developed.At the end of this paper,the experimental results have shown that the proposed approach has good performance with respect to the quality of solution and the speed of computation. 展开更多
关键词 数据挖掘 数据管理系统 数据库 数据分析
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