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Critical Contingencies Ranking for Dynamic Security Assessment Using Neural Networks
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作者 Gustavo Schweickardt Juan Manuel Gimenez-Alvarez 《Journal of Energy and Power Engineering》 2012年第10期1663-1672,共10页
A number of contingencies simulated during dynamic security assessment do not generate unacceptable values of power system state variables, due to their small influence on system operation. Their exclusion from the se... A number of contingencies simulated during dynamic security assessment do not generate unacceptable values of power system state variables, due to their small influence on system operation. Their exclusion from the set of contingencies to be simulated in the security assessment would achieve a significant reduction in computation time. This paper defines a critical contingencies selection method for on-line dynamic security assessment. The selection method results from an off-line dynamical analysis, which covers typical scenarios and also covers various related aspects like frequency, voltage, and angle analyses among others. Indexes measured over these typical scenarios are used to train neural networks, capable of performing on-line estimation of a critical contingencies list according to the system state. 展开更多
关键词 Critical contingencies dynamic security assessment neural networks.
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Preventive-corrective Control for Static Voltage Stability Under Multiple N-1 Contingencies Considering Wind Power Uncertainty
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作者 Yuerong Yang Shunjiang Lin +2 位作者 Qiong Wang Mingbo Liu Qifeng Li 《CSEE Journal of Power and Energy Systems》 2025年第4期1466-1480,共15页
An optimal preventive-corrective control model for static voltage stability under multiple N-1 contingencies considering the wind power uncertainty is established in this paper.The objective is to minimize the control... An optimal preventive-corrective control model for static voltage stability under multiple N-1 contingencies considering the wind power uncertainty is established in this paper.The objective is to minimize the control variable adjustment cost including the load shedding cost of each contingency.The chance constraints of the static voltage stability margins(SvSMs)in the normal operation state and after each N-1 contingency are included.The approximate functions between the probability density functions(PDFs)of SVSMs and load shedding quantity with respect to preventive control variables are obtained to transform the expectation of load shedding quantity and the SvSM chance constraints into deterministic expressions.An approximate sequential convex quadratically constrained quadratic programming iteration method is proposed to solve the optimal control model.In each iteration,the approximate expressions and range are determined by the generated data samples.Moreover,a fast approximation calculation method of second-order matrices is proposed.By the naive Bayes classifier,the most severe N-1 contingencies are selected to replace all the contingencies to be added to the optimization model to improve the computational efficiency.Case studies on the IEEE-39 bus system and an actual provincial power grid demonstrate the effectiveness and efficiency of the proposed method. 展开更多
关键词 Multiple N-1 contingencies preventivecorrective control probabilistic distribution control sequential convex quadratically constrained quadratic programming static voltage stability margin wind power uncertainty
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Self-organizing Energy Management Modeling for Multi-microgrids in Contingencies
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作者 Jiachen Chen Zhong Chen Qiang Xing 《Journal of Modern Power Systems and Clean Energy》 2025年第2期574-584,共11页
Contingencies,such as behavior shifts of microgrid operators(MGOs)and abrupt weather fluctuations,significantly impact the economic operations of multi-microgrids(MMGs).To address these contingencies and enhance the e... Contingencies,such as behavior shifts of microgrid operators(MGOs)and abrupt weather fluctuations,significantly impact the economic operations of multi-microgrids(MMGs).To address these contingencies and enhance the economic and autonomous performance of MGOs,a self-organizing energy management modeling approach is proposed.A second-order stochastic dynamical equation(SDE)is developed to accurately characterize the self-organizing evolution of the operating cost of MGO incurred by contingencies.Firstly,an operating model of MMG relying on two random graph-driven information matrices is constructed and the order parameters are introduced to extract the probabilistic properties of variations in operating cost.Subsequently,these order parameters,which assist individuals in effectively capturing system correlations and updating state information,are incorporated as inputs into second-order SDE.The second-order SDE is then solved by using the finite difference method(FDM)within a loop-structured solution framework.Case studies conducted within a practical area in China validate that the proposed self-organizing energy management model(SEMM)demonstrates spontaneous improvements in economic performance compared with conventional models. 展开更多
关键词 CONTINGENCY energy management multi-microgrid(MMG) graph stochastic dynamic equation(SDE) self-organizing feature
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Integrated coordination scheduling framework of electricity-natural gas systems considering electricity transmission N—1 contingencies and gas dynamics 被引量:6
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作者 Dawei CHEN Zhejing BAO Lei WU 《Journal of Modern Power Systems and Clean Energy》 SCIE EI CSCD 2019年第6期1422-1433,共12页
This paper discusses a security-constrained integrated coordination scheduling framework for an integrated electricity-natural gas system(IEGS),in which both tight interdependence between electricity and natural gas t... This paper discusses a security-constrained integrated coordination scheduling framework for an integrated electricity-natural gas system(IEGS),in which both tight interdependence between electricity and natural gas transmission networks and their distinct dynamic characteristics at different timescales are fully considered.The proposed framework includes two linear programming models.The first one focuses on hour-based steady-state coordinated economic scheduling on power outputs of electricity generators and mass flow rates of natural gas sources while considering electricity transmission N-1 contingencies.Using the steady-state mass flow rate solutions of gas sources as the initial value,the second one studies second-based slow gas dynamics and optimizes pressures of gas sources to ensure that inlet gas pressure of gas-fired generator is within the required pressure range at any time between two consecutive steady-state scheduling.The proposed framework is validated via an IEGS consisting of an IEEE 24-bus electricity network and a15-node 14-pipeline natural gas network coupled by gasfired generators.Numerical results illustrate the effectiveness of the proposed framework in coordinating electricity and natural gas systems as well as achieving economic and reliable operation of IEGS. 展开更多
关键词 GAS dynamics INTEGRATED electricity-natural GAS system N—1 contingencies Optimization Scheduling
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基于承包商支付意愿的工程渣土资源化利用激励机制研究——以长沙市为例
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作者 易欣 刘沫村 +2 位作者 陆佳惠 沈良峰 邱慧 《中国环境科学》 北大核心 2025年第4期2323-2332,共10页
出于成本考虑,目前承包商工程渣土多采取填埋、倾倒处置方式,如何激励其转向资源化利用是个难题.不同于以往定性研究,基于混合式条件价值评估新方法,以湖南省长沙市585位建筑从业人员的调查数据为样本,通过对承包商支付意愿及影响因素... 出于成本考虑,目前承包商工程渣土多采取填埋、倾倒处置方式,如何激励其转向资源化利用是个难题.不同于以往定性研究,基于混合式条件价值评估新方法,以湖南省长沙市585位建筑从业人员的调查数据为样本,通过对承包商支付意愿及影响因素进行研究,将不明晰的非资源化处置收费价格明确化,然后提出了相应的激励机制.结果表明:承包商的平均支付意愿为73.69元/t,高于目前渣土填埋平均费用20元/t,以及非法倾倒的处罚期望成本16.70~25元/t,建议政府通过调价和征收处置税使渣土消纳费超过73.69元/t,将非法倾倒处罚额从5000元/台提高到15000元/台;工程资源化利用平均处置成本137元/t,再产品平均售价40元/t,加上承包商平均支付意愿仍小于成本.政府可根据差额直接补贴或奖励新技术研发以降低成本,并出台规定扩大再产品用量,通过需求提高再产品市场价格.74.35%受访者愿意支付以支持工程渣土资源化利用,承包商的企业性质、社会压力、环境认知、当前满意度等因素正向影响其支付意愿,受访者的项目经验却对支付意愿负向影响.政府通过加大工程渣土资源化利用宣传的引导规制,提升资源化利用补贴和非法倾倒处罚力度的奖惩规制,也都能有效激励承包商采取资源化利用. 展开更多
关键词 工程渣土资源化利用 承包商支付意愿 支付意愿影响因素 hybrid contingent valuation method
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Allocation of a Variable Series Reactor Considering AC Constraints and Contingencies 被引量:1
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作者 Xiaohu Zhang Chunlei Xu +5 位作者 Di Shi Zhiwei Wang Qibing Zhang Guodong Liu Kevin Tomsovic Aleksandar Dimitrovski 《CSEE Journal of Power and Energy Systems》 SCIE CSCD 2019年第1期63-72,共10页
The Variable Series Reactors(VSRs)can efficiently control the power flow through the adjustment of the line reactance.When they are appropriately allocated in the power network,the transmission congestion and generati... The Variable Series Reactors(VSRs)can efficiently control the power flow through the adjustment of the line reactance.When they are appropriately allocated in the power network,the transmission congestion and generation cost can be reduced.This paper proposes a planning model to optimally allocate VSRs considering AC constraints and multi-scenarios including base case and contingencies.The planning model is originally a non-convex large scale mixed integer nonlinear program(MINLP),which is generally intractable.The proposed Benders approach decomposes the MINLP model into a mixed integer linear program(MILP)master problem and a number of nonlinear subproblems.Numerical case studies based on IEEE 118-bus demonstrate the high performance of the proposed approach. 展开更多
关键词 N-1 contingencies optimization optimal power flow variable series reactor transmission network
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Plasticity,Contingency,and Virtuality in the Age of Automatic Reproduction
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作者 Szymon Wróbel 《Philosophy Study》 2025年第4期135-144,共10页
In this paper,the author follows the trail of C.Malabou,Q.Meillassoux,and G.Deleuze and tries to test three philosophical concepts that seem to be particularly threatened in the era of automatic digital reproduction.T... In this paper,the author follows the trail of C.Malabou,Q.Meillassoux,and G.Deleuze and tries to test three philosophical concepts that seem to be particularly threatened in the era of automatic digital reproduction.These three concepts are plasticity(defended for many years by C.Malabou),contingency(reconstructed by Q.Meillassoux),and virtuality(developed by G.Deleuze).The main task of the text will be to reflect on which of these three concepts better protects our thinking against automation and stays faithful to the ideal of creativity.In what sense are plasticity,contingency,and the possibility of virtualization the a priori condition of any transformation,physical or intellectual,affective or conceptual metamorphosis?In what sense are these three concepts the only conditions for the survival of every living being?Would a being without contingency,plasticity,and disposition to virtualization simply be a dead being? 展开更多
关键词 automatic society CONTINGENCY PLASTICITY technical reproduction VIRTUALIZATION
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Security-Constrained Optimal Power Flow in Renewable Energy-Based Microgrids Using Line Outage Distribution Factor for Contingency Management
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作者 Luki Septya Mahendra Rezi Delfianti +4 位作者 Karimatun Nisa Sutedjo Bima Mustaqim Catur Harsito Rafiel Carino Syahroni 《Energy Engineering》 2025年第7期2695-2717,共23页
Ensuring the reliability of power systems in microgrids is critical,particularly under contingency conditions that can disrupt power flow and system stability.This study investigates the application of Security-Constr... Ensuring the reliability of power systems in microgrids is critical,particularly under contingency conditions that can disrupt power flow and system stability.This study investigates the application of Security-Constrained Optimal Power Flow(SCOPF)using the Line Outage Distribution Factor(LODF)to enhance resilience in a renewable energy-integrated microgrid.The research examines a 30-bus system with 14 generators and an 8669 MW load demand,optimizing both single-objective and multi-objective scenarios.The single-objective opti-mization achieves a total generation cost of$47,738,while the multi-objective approach reduces costs to$47,614 and minimizes battery power output to 165.02 kW.Under contingency conditions,failures in transmission lines 1,22,and 35 lead to complete power loss in those lines,requiring a redistribution strategy.Implementing SCOPF mitigates these disruptions by adjusting power flows,ensuring no line exceeds its capacity.Specifically,in contingency 1,power in channel 4 is reduced from 59 to 32 kW,while overall load shedding is minimized to 0.278 MW.These results demonstrate the effectiveness of SCOPF in maintaining stability and reducing economic losses.Unlike prior studies,this work integrates LODF into SCOPF for large-scale microgrid applications,offering a computationally efficient contingency management framework that enhances grid resilience and supports renewable energy adoption. 展开更多
关键词 CONTINGENCY LODF optimal power flow smart grid solar power
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A Platform for Safe Operations of Unmanned Aircraft Systems in Critical Areas
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作者 Valerio De Luca Claudio Pascarelli +3 位作者 Mattia Colucci Paolo Afrune Angelo Corallo Giulio Avanzini 《Engineering》 2025年第6期314-331,共18页
The use of unmanned aerial system(UAS)in congested airspace and/or in the proximity of critical infrastructure poses several challenges as far as safe and secure operations are concerned.The paper provides a detailed ... The use of unmanned aerial system(UAS)in congested airspace and/or in the proximity of critical infrastructure poses several challenges as far as safe and secure operations are concerned.The paper provides a detailed description of the architecture and workflow of a platform for UAS traffic management(UTM),designed to pave the way for increased,improved and safer UAS operations in the civil airspace.In particular,access to low-altitude airspace for UAS operations is managed,while facilitating the implementation of beyond visual line-of-sight(BVLOS)operations,and ensuring a safe and efficient integration of UAS into both controlled and uncontrolled airspace.Detection and management of unidentified or uncooperative UAS’s is also taken care of.To this end,an architecture based on three interacting layers is proposed,with the air traffic control at the highest level,the UAS operator(s)at the bottom,and a UAS service supplier acting as an interface.The platform,with its physical and digital elements,guarantees the effective and efficient interaction among these three layers,including management of contingency scenarios,which require a variation of admissible flight volumes for UAS operations and/or fast trajectory re-planning.The platform,developed within a research project which involved several partners,was tested in a relevant operational scenario at the Grottaglie-Taranto airport in Italy.The operators involved in the tests provided positive feedback on the services provided by the platform and the usability of the interfaces,while also making suggestions for adding new features in future developments. 展开更多
关键词 Unmanned aerial system Situational awareness Contingency management Augmented reality UAS traffic management
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A fast calculation method for three-impulse contingency return trajectory during the near-moon phase based on differential algebra
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作者 Lin LU Haiyang LI +1 位作者 Tianshan DONG Wanmeng ZHOU 《Chinese Journal of Aeronautics》 2025年第4期286-304,共19页
Aimed at the demand of contingency return at any time during the near-moon phase in the manned lunar landing missions,a fast calculation method for three-impulse contingency return trajectories is proposed.Firstly,a t... Aimed at the demand of contingency return at any time during the near-moon phase in the manned lunar landing missions,a fast calculation method for three-impulse contingency return trajectories is proposed.Firstly,a three-impulse contingency return trajectory scheme is presented by combining the Lambert transfer and maneuver at the special point.Secondly,a calculation model of three-impulse contingency return trajectories is established.Then,fast calculation methods are proposed by adopting the high-order Taylor expansion of differential algebra in the twobody trajectory dynamics model and perturbed trajectory dynamics model.Finally,the performance of the proposed methods is verified by numerical simulation.The results indicate that the fast calculation method of two-body trajectory has higher calculation efficiency compared to the semi-analytical calculation method under a certain accuracy condition.Due to its high efficiency,the characteristics of the three-impulse contingency return trajectories under different contingency scenarios are further analyzed expeditiously.These findings can be used for the design of contingency return trajectories in future manned lunar landing missions. 展开更多
关键词 Manned lunar landing Contingency return trajectory Trajectory calculation method Differential algebra Trajectory characteristic analysis
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Self-Compassion Moderates the Effect of Contingent Self-Esteem on Well-Being:Evidence from Cross-Sectional Survey and Experiment
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作者 Ruirui Zhang Xuguang Zhang +1 位作者 Minxin Yang Haoran Zhang 《International Journal of Mental Health Promotion》 2024年第2期117-126,共10页
Contingent self-esteem captures the fragile nature of self-esteem and is often regarded as suboptimal to psychological functioning.Self-compassion is another important self-related concept assumed to promote mental he... Contingent self-esteem captures the fragile nature of self-esteem and is often regarded as suboptimal to psychological functioning.Self-compassion is another important self-related concept assumed to promote mental health and well-being.However,research on the relation of self-compassion to contingent self-esteem is lacking.Two studies were conducted to explore the role of selfcompassion,either as a personal characteristic or an induced mindset,in influencing the effects of contingent self-esteem on well-being.Study 1 recruited 256 Chinese college students(30.4%male,mean age=21.72 years)who filled out measures of contingent self-esteem,self-compassion,and well-being.The results found that self-compassion moderated the effect of contingent self-esteem on well-being.In Study 2,a sample of 90 Chinese college students(34%male,mean age=18.39 years)were randomly assigned to either a control or self-compassion group.They completed baseline trait measures of contingent self-esteem,self-compassion,and self-esteem.Then,they were led to have a 12-min break(control group)or listen to a 12-min self-compassion audio(self-compassion group),followed by a social stress task and outcome measures.The results demonstrated the effectiveness of the brief self-compassion training and its moderating role in influencing the effects of contingent self-esteem on negative affects after the social stress task.This research provides implications that to equip with a self-compassionate mindset could lower the risk of the impairment of well-being associated with elements of contingent selfesteem,which involves a fragile sense of self-worth.It may also provide insights into the development of an“optimal selfesteem”and the improvement of well-being. 展开更多
关键词 SELF-COMPASSION contingent self-esteem WELL-BEING social evaluative threat
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Preserving environmental quality of ecotourism sites through community participation in Purulia District of West Bengal,India
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作者 Piyall CHATTERJEE Soumyendra Kishore DATTA 《Regional Sustainability》 2024年第3期111-123,共13页
The importance of valuing environmental resources,especially in ecotourism sites,has become increasingly important over the last two decades.Ecotourism is now considered as an important source of livelihood of local s... The importance of valuing environmental resources,especially in ecotourism sites,has become increasingly important over the last two decades.Ecotourism is now considered as an important source of livelihood of local stakeholders in backward regions.Therefore,the preservation of ecotourism sites through community participation seems very important to maintain continued flow of tourists.This study aimed at recognizing the importance of community participation for the preservation of ecotourism sites.For this,this study executed a survey based on non-probability sampling in two ecotourism sites(Garpanchkot and Baranti)covering 100 respondents in Purulia District,West Bengal of India.The central issue of this study was to assess the tendency of community participation for the conservation of ecotourism sites and find the optimum condition for offering participatory labour time.This study showed that the participation of young people is high,and the majority of respondents are aware of the importance in protecting ecotourism sites.Because respondents were too poor to offer money,the contingent valuation method(CVM)was used to elicit their willingness to pay(WTP)participatory labour time for the conservation of ecotourism sites.Respondents’age,income,education level,caste,and their perceived environmental quality had significant relationship with their WTP participatory labour time by applying the ordinary least square(OLS)model.It was found that the mean WTP participatory labour time of each respondent in a month is approximately 3.64 h.The significance of this study is that community participation can improve the sense of belonging,trust,and credibility of ecotourism sites,making them more appreciative of the value and protection of these sites. 展开更多
关键词 Ecotourism site conservation Community participation Local stakeholders Willingness to pay Participatory labour time Ordinary least square(OLS)model Contingent valuation method(CVM)
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Pragmatism as the foundation of cognitive enactivism
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作者 Jianfeng Wu 《Cultures of Science》 2024年第3期210-221,共12页
The current prevailing embodied cognitive science is essentially the result of the pragmatic turn of cognitive science, and enactivism is the epitome of this turn. For a long time, most advocates of enactivism have co... The current prevailing embodied cognitive science is essentially the result of the pragmatic turn of cognitive science, and enactivism is the epitome of this turn. For a long time, most advocates of enactivism have consciously regarded phenomenology as their important source of thought but ignored its pragmatic roots. In fact, there are many similarities between enactivism and pragmatism, and pragmatism has foreshadowed some core ideas and principles of enactivism. In particular, enactivism contains a pragmatic assumption that there is interaction between organisms and their environment, and cognitive ability is evolved and developed by organisms in the history of interactions with their environment. Their interpretations of cognition both rely on the theoretical support of biology and emphasize the basic role of organisms' active capacities and environment in the formation of cognition. They hold a neutral monism position ontologically.Undoubtedly, pragmatism is the precursor of cognitive enactivism. Pragmatism not only provides rich conceptual resources for the development of enactivism, but also provides a unique perspective and method to solve some problems in its theory. Pragmatism is a rich mine for enactivists to further explore. 展开更多
关键词 Enactivism PRAGMATISM action orientation sensorimotor contingency organic coordination
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向量集值优化超有效解的对偶问题 被引量:6
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作者 盛宝怀 周颂平 刘三阳 《数学物理学报(A辑)》 CSCD 北大核心 2004年第4期426-434,共9页
借助于Contingent切锥和集值映射的上图而引入的有关集值映射的Contingent切导数, 对约束集值优化问题的超有效解建立了最优性Kuhn-Tucker必要及充分性条件,借此建立了 向量集值优化超有效解的Wolfe型和Mond-Weir型对偶定理.
关键词 Contingent切锥 集值映射 对偶
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集值映射的超有效广义梯度 被引量:6
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作者 徐义红 肖明丽 《南昌大学学报(工科版)》 CAS 2008年第2期127-130,共4页
在Hausdorff局部凸拓扑线性空间中,对于集值优化问题(SOP),利用contingent上图切导数,引进了集值映射超有效意义下的广义梯度,在目标函数为锥类凸的集值映射并且具有连通性条件下,利用凸集分离定理和contingent上图切导数,证明了集值映... 在Hausdorff局部凸拓扑线性空间中,对于集值优化问题(SOP),利用contingent上图切导数,引进了集值映射超有效意义下的广义梯度,在目标函数为锥类凸的集值映射并且具有连通性条件下,利用凸集分离定理和contingent上图切导数,证明了集值映射超有效广义梯度的存在性,得到了集值映射超有效广义梯度的等价刻画等定理。 展开更多
关键词 超有效广义梯度 contingent上图切导数 超有效性 最优性条件
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两期交换经济Contingent资产市场的指标公式
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作者 梁希泉 庄新路 《东北师大学报(自然科学版)》 CAS CSCD 1997年第3期1-6,共6页
给出了均衡流形的定向,推导出了两期交换经济Contingent资产市场的指标公式,并证明了该资产市场的均衡存在.从而证实了M.Magill“当均衡流形可定向,且Incometransfers矩阵V(p,s)是满秩阵时,可以得到定向映射度的指标公式”的推测.
关键词 CONTINGENT 资产市场 均衡流形 指标公式 均衡点
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弱有效意义下向量集值优化的Kuhn-Tucker条件与对偶
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作者 盛宝怀 李宏涛 陈志祥 《宁波大学学报(理工版)》 CAS 2003年第1期18-24,共7页
借助于由广义Contingent切锥并用上图而引入有关集值映射的Contingent切导数,对约束集值优化问题的弱有效解建立了Kuhn-Tucker必要及充分性条件,由此建立了向量集值优化弱有效解的Welfe型和Mond-Weir型对偶的弱定理、正定理及逆定理。
关键词 向量集值优化 集值映射 广义Contingent切锥 弱有效解 KUHN-TUCKER条件 多目标规划 对偶
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Banach空间中优化问题的最优性条件
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作者 张秀芳 王冬 《高校应用数学学报(A辑)》 CSCD 北大核心 2002年第2期225-229,共5页
首先在 Contingent切锥意义下界定了 Banach空间中非空集合的伪切锥和伪凸性的概念 ,并讨论了相应的性质 ;然后针对可微优化问题 ,在广义凸性假设下 。
关键词 BANACH空间 优化问题 最优性条件 Contingent切锥 伪切锥 伪凸集合 伪凸函数
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Evaluation on Non-use Value of Dianchi Lake Wetland Using CVM
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作者 谭喨 刘春学 +2 位作者 王鹏云 徐杉 曾燕 《Agricultural Science & Technology》 CAS 2012年第3期617-622,共6页
[Objective] This study was to analyze the personal Willingness to Pay (WI-P) on the non-use value of Dianchi lake wetland and the influential factors. [Method] Questionnaire was designed according to the Contingent ... [Objective] This study was to analyze the personal Willingness to Pay (WI-P) on the non-use value of Dianchi lake wetland and the influential factors. [Method] Questionnaire was designed according to the Contingent Valuation Method (CVM) to investigate people of different occupations at different ages, based on which the evaluation on non-use value of Dianchi lake wetland was carried out. And the relationship between WTP and social characteristics were analyzed by using non- parametric estimation. [Result] The average WTP on Dianchi lake wetland is 150.03- 217.66 yuan per person every year, and the total WTP is 626-909 million yuan ev- ery year. Age, education and residence of the respondents have remarkable influ- ence on the VVTP. The influence of education level and residence on option value is significant; bequest value is significantly correlated with age; while there is no significant relationship between existence value and social characteristics. [Conclusion] The evaluation on the non-use value of Dianchi lake wetland is important for the scientific development and utilization of wetland resources. 展开更多
关键词 CVM (Contingent Valuation Method) Dianchi lake wetland Non-use value WTP (Willingness to Pay)
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广义梯度和ε-严有效解的最优性条件
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作者 余丽 《应用泛函分析学报》 CSCD 2013年第1期42-46,共5页
在锥序Banach空间中引入了集值映射ε-严有效意义下的广义梯度.在连通性条件下,利用凸集分离定理证明了该广义梯度的存在性.作为应用,给出了用广义梯度刻画集值优化问题ε-严有效解的充分和必要条件.
关键词 集值优化 Contingent切导数 ε-严有效解 广义梯度 最优性条件
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