A large number of mathematical models were developed for supporting agricultural production structure optimization decisions; however, few of them can address various uncertainties existing in many factors （e.g., eco...A large number of mathematical models were developed for supporting agricultural production structure optimization decisions; however, few of them can address various uncertainties existing in many factors （e.g., eco-social benefit maximization, food security, employment stability and ecosystem balance）. In this study, an interval-probabilistic agricultural production structure optimization model （IPAPSOM） is formulated for tackling uncertainty presented as discrete intervals and/or probability distribution. The developed model improves upon the existing probabilistic programming and inexact optimization approaches. The IPAPSOM considers not only food security policy constraints, but also involves rural households’income increase and eco-environmental conversation, which can effectively reflect various interrelations among different aspects in an agricultural production structure optimization system. Moreover, it can also help examine the reliability of satisfying （or risk of violating） system constraints under uncertainty. The model is applied to a real case of long-term agricultural production structure optimization in Dancheng County, which is located in Henan Province of Central China as one of the major grain producing areas. Interval solutions associated with different risk levels of constraint violation are obtained. The results are useful for generating a range of decision alternatives under various system benefit conditions, and thus helping decision makers to identify the desired agricultural production structure optimization strategy under uncertainty.展开更多
The purpose of this paper is to introduce and study the semi-groups of nonlinear contractions in probabilistic normed spaces and to establish the Crandall-Liggett's exponential formula for some kind of accretive m...The purpose of this paper is to introduce and study the semi-groups of nonlinear contractions in probabilistic normed spaces and to establish the Crandall-Liggett's exponential formula for some kind of accretive mappings in probabilistic normed spaces. As applications, these results are utilized to study the Cauchy problem for a kind of differential inclusions with accretive mappings in probabilistic normed spaces.展开更多
The outbreak of corona virus disease 2019 has profoundly affected people’s way of life.It is increasingly necessary to investigate epidemics over social networks.This paper studies susceptible-infected-removed(SIR)ep...The outbreak of corona virus disease 2019 has profoundly affected people’s way of life.It is increasingly necessary to investigate epidemics over social networks.This paper studies susceptible-infected-removed(SIR)epidemics via the semi-tensor product.First,a formal susceptible-infected-removed epidemic dynamic model over probabilistic dynamic networks(SIRED-PDN)is given.Based on an evolutionary rule,the algebraic form for the dynamics of individual states and network topologies is given,respectively.Second,the SIRED-PDN can be described by a probabilistic mix-valued logical network.After providing an algorithm,all possible final spreading equilibria can be obtained for any given initial epidemic state and network topology by seeking attractors of the network.And the shortest time for all possible initial epidemic state and network topology profiles to evolve to the final spreading equilibria can be obtained by seeking the transient time of the network.Finally,an illustrative example is given to show the effectiveness of our model.展开更多
We let a set of beam splitters of vacuum mode with a chosen transmittance parameter η in interaction with a separable coherent states.This model induces the production of an attenuated quantum channels based on entan...We let a set of beam splitters of vacuum mode with a chosen transmittance parameter η in interaction with a separable coherent states.This model induces the production of an attenuated quantum channels based on entangled optical states.Indeed,the decoherence effect is exploited positively here to generate such kind of quantum channels.Next,the amplitude damping and the entanglement amount of these produced channels are enhanced thereafter by a probabilistic quasi amplification process using again a 50 : 50 beam splitter.展开更多
This paper develops an economic production quantity(EPQ)model under the effect of inflation and time value of money.The rate of replenishment is considered to be a variable and the generalized unit production cost fun...This paper develops an economic production quantity(EPQ)model under the effect of inflation and time value of money.The rate of replenishment is considered to be a variable and the generalized unit production cost function is formulated by incorporating several factors,such as raw material,labour,replenishment rate,advertisements and other factors of the manufacturing system.The selling price of a unit is determined by a mark-up over the production cost.We have considered three types of continuous probabilistic deterioration function,and also considered that the holding cost of the item per unit time is assumed to be an increasing linear function of time spent in storage.In addition,shortages are allowed and partially backlogged.This model aids in minimizing the total inventory cost by finding the optimal cycle length and the optimal production quantity.The optimal solution of the model is illustrated with the help of numerical examples.展开更多
Universal Generating Function(UGF)techniques have been applied to Multi-State System(MSS)reliability analysis,such as long term reserve expansion of power systems with high wind power penetration.However,using simple ...Universal Generating Function(UGF)techniques have been applied to Multi-State System(MSS)reliability analysis,such as long term reserve expansion of power systems with high wind power penetration.However,using simple steady-state distribution models for wind power and large generating units in reliability assessment can yield pessimistic appraisals.To more accurately assess the power system reliability,UGF techniques are extended to dynamic probabilistic simulation analysis on two aspects of modelling improvement.Firstly,a principal component analysis(PCA)combined with a hierarchal clustering algorithm is used to achieve the salient and time-varying patterns of wind power,then a sequential UGF equivalent model of wind power output is established by an apportioning method.Secondly,other than the traditional two-state models,the conventional generator UGF equivalent model is established as a four discrete-state continuous-time Markov model by Lztransform.In the construction process of such a UGF model,the state values are transformed into the integral multiples of one common factor by choosing proper common factors,thus effectively restraining the exponential growth of its state number and alleviating the explosion thereof.The method is suitable for reliability assessment with dynamic probabilistic distributed random variables.In addition,by acquiring the clustering information of wind power,the system reliability indices,such as fuel cost and CO_(2) emissions through different seasons and on different workdays,are calculated.Finally,the effectiveness of the method is verified by a modified IEEE-RTS 79 system integrated with several wind farms of historical hourly wind power data of Zhangbei wind farm in North China.展开更多
智能互联产品(smart and connected products,SCPs)融合物联网与人工智能技术,依托嵌入式传感器和网络连接实现实时交互,已然成为智能家居、工业4.0及智慧城市发展的核心驱动力。用户评论作为反映消费者需求与满意度的重要数据源,为优...智能互联产品(smart and connected products,SCPs)融合物联网与人工智能技术,依托嵌入式传感器和网络连接实现实时交互,已然成为智能家居、工业4.0及智慧城市发展的核心驱动力。用户评论作为反映消费者需求与满意度的重要数据源,为优化产品设计和提升用户体验提供了关键依据。针对现有情感分析方法在复杂语义建模、模糊语言量化和可解释性方面的不足,本文提出一种综合情感分析框架以及满意度分析方法。首先,采用双向长短期记忆网络(bidirectional long short-term memory,BiLSTM)精准捕捉评论文本的语义关联;其次,利用概率语言术语集(probabilistic linguistic term set,PLTS)量化模糊语言的不确定性;再者,通过Shapley加性解释(Shapley additive explanations,SHAP)揭示特征对情感预测的贡献;最后,结合SHAP和重要性-满意度分析(importance-performance analysis,IPA)以生成优化优先级建议。本文以智能音箱为例,通过实验验证所提情感分析框架的有效性,测试集F1分数达0.967,AUC达0.979,显著优于传统方法。因此,本文不仅有助于完善SCPs的情感分析,还为产品功能优化和个性化推荐提供科学依据与实践指导。展开更多
西北地区可再生能源资源与电力需求不平衡的现状,使得发展风火联合外送成为促进新能源消纳的重要举措。而风电出力的不确定性给风火联合外送的经济性、可靠性效益评估造成了困难。针对该问题,文章采用风电多状态模型,引入机组剩余容量...西北地区可再生能源资源与电力需求不平衡的现状,使得发展风火联合外送成为促进新能源消纳的重要举措。而风电出力的不确定性给风火联合外送的经济性、可靠性效益评估造成了困难。针对该问题,文章采用风电多状态模型,引入机组剩余容量的概念,提出了联合外送概率模型以模拟送端电网对受端电网的电力支援过程。结合各类型电源特点,设计了考虑风火联合外送的互联系统随机生产模拟算法框架。通过EPRI 36算例验证了所提方法的有效性,并且通过对酒泉—湖南±800 k V直流输电工程进行随机生产模拟,研究了酒泉直流对受端电网充裕度的改善、酒泉直流的环保效益以及直流输电利用小时数对酒泉直流经济性的影响。展开更多
为了提高可中断负荷(Interruptible Load,IL)承担高峰时段市场备用的安全可靠性和经济性,构建了IL参与高峰时段市场备用的选择评估模型和电网企业效益测算模型。基于随机生产模拟方法,从安全可靠性和经济性两个层面,选取了响应时间、系...为了提高可中断负荷(Interruptible Load,IL)承担高峰时段市场备用的安全可靠性和经济性,构建了IL参与高峰时段市场备用的选择评估模型和电网企业效益测算模型。基于随机生产模拟方法,从安全可靠性和经济性两个层面,选取了响应时间、系统缺电量减少额等4个主要评选指标,利用理想点排序法(Technique for Order Preference by Similarity to an Ideal Solution,TOPSIS)对IL的优劣特性进行了综合评价。测算了电网企业择优购入部分IL承担高峰时段市场备用后的效益状况。算例结果表明:该选择评估模型能很好地甄别各种IL在安全可靠性和经济性方面的优劣差异,能有效提高电网的供电可靠性和经济性,从而证明了模型的科学性和有效性。展开更多
针对风电机组出力的间歇性和波动性,提出了基于等效电量频率法(equiva1ent energy and frequency function method,EEFF)的电力系统随机生产模拟方法。将等效电量函数法(equiva1ent energy function method,EEF)与频率持续法(frequency ...针对风电机组出力的间歇性和波动性,提出了基于等效电量频率法(equiva1ent energy and frequency function method,EEFF)的电力系统随机生产模拟方法。将等效电量函数法(equiva1ent energy function method,EEF)与频率持续法(frequency and duration,FD)相结合,用来评估风电场接入对电力系统生产运行的影响。该方法在生产模拟中保留了负荷和风电机组的时变特性,除了可以得到常规算法所能得到的生产模拟结果外,还可以评估风电场对常规机组造成的开停机影响,以及与火电机组开机、暖机等因素相关的动态费用。EPRI36机组随机生产模拟结果验证了所提方法的正确性和有效性。展开更多
基金funded by the National Natural Science Foundation of China (41130748, 41101162)the Key Knowledge Innovation Project of Chinese Academy of Sciences (KZCX2-EW-304)
文摘A large number of mathematical models were developed for supporting agricultural production structure optimization decisions; however, few of them can address various uncertainties existing in many factors （e.g., eco-social benefit maximization, food security, employment stability and ecosystem balance）. In this study, an interval-probabilistic agricultural production structure optimization model （IPAPSOM） is formulated for tackling uncertainty presented as discrete intervals and/or probability distribution. The developed model improves upon the existing probabilistic programming and inexact optimization approaches. The IPAPSOM considers not only food security policy constraints, but also involves rural households’income increase and eco-environmental conversation, which can effectively reflect various interrelations among different aspects in an agricultural production structure optimization system. Moreover, it can also help examine the reliability of satisfying （or risk of violating） system constraints under uncertainty. The model is applied to a real case of long-term agricultural production structure optimization in Dancheng County, which is located in Henan Province of Central China as one of the major grain producing areas. Interval solutions associated with different risk levels of constraint violation are obtained. The results are useful for generating a range of decision alternatives under various system benefit conditions, and thus helping decision makers to identify the desired agricultural production structure optimization strategy under uncertainty.
文摘The purpose of this paper is to introduce and study the semi-groups of nonlinear contractions in probabilistic normed spaces and to establish the Crandall-Liggett's exponential formula for some kind of accretive mappings in probabilistic normed spaces. As applications, these results are utilized to study the Cauchy problem for a kind of differential inclusions with accretive mappings in probabilistic normed spaces.
基金supported by the National Natural Science Foundation of China(Nos.61973175,62203328)the Tianjin Natural Science Foundation(Nos.20JCYBJC01060,21JCQNJC00840)the General Terminal IC Interdisciplinary Science Center of Nankai University.
文摘The outbreak of corona virus disease 2019 has profoundly affected people’s way of life.It is increasingly necessary to investigate epidemics over social networks.This paper studies susceptible-infected-removed(SIR)epidemics via the semi-tensor product.First,a formal susceptible-infected-removed epidemic dynamic model over probabilistic dynamic networks(SIRED-PDN)is given.Based on an evolutionary rule,the algebraic form for the dynamics of individual states and network topologies is given,respectively.Second,the SIRED-PDN can be described by a probabilistic mix-valued logical network.After providing an algorithm,all possible final spreading equilibria can be obtained for any given initial epidemic state and network topology by seeking attractors of the network.And the shortest time for all possible initial epidemic state and network topology profiles to evolve to the final spreading equilibria can be obtained by seeking the transient time of the network.Finally,an illustrative example is given to show the effectiveness of our model.
文摘We let a set of beam splitters of vacuum mode with a chosen transmittance parameter η in interaction with a separable coherent states.This model induces the production of an attenuated quantum channels based on entangled optical states.Indeed,the decoherence effect is exploited positively here to generate such kind of quantum channels.Next,the amplitude damping and the entanglement amount of these produced channels are enhanced thereafter by a probabilistic quasi amplification process using again a 50 : 50 beam splitter.
基金The research work is supported by DST INSPIRE Fellowship,Ministry of Science and Technology,Government of India under the grant no.DST/INSPIRE Fellowship/2011/413B dated 15 January 2014,and UGC–SAPDepartment of Mathematics,Gandhigram Rural Institute–Deemed University,Gandhigram–624302,Tamilnadu,India.
文摘This paper develops an economic production quantity(EPQ)model under the effect of inflation and time value of money.The rate of replenishment is considered to be a variable and the generalized unit production cost function is formulated by incorporating several factors,such as raw material,labour,replenishment rate,advertisements and other factors of the manufacturing system.The selling price of a unit is determined by a mark-up over the production cost.We have considered three types of continuous probabilistic deterioration function,and also considered that the holding cost of the item per unit time is assumed to be an increasing linear function of time spent in storage.In addition,shortages are allowed and partially backlogged.This model aids in minimizing the total inventory cost by finding the optimal cycle length and the optimal production quantity.The optimal solution of the model is illustrated with the help of numerical examples.
基金This work was supported by the National High Technology Research and Development Program of China(863 Program)(No.2011AA05A101)National Natural Science Foundation of China(No.51177092).
文摘Universal Generating Function(UGF)techniques have been applied to Multi-State System(MSS)reliability analysis,such as long term reserve expansion of power systems with high wind power penetration.However,using simple steady-state distribution models for wind power and large generating units in reliability assessment can yield pessimistic appraisals.To more accurately assess the power system reliability,UGF techniques are extended to dynamic probabilistic simulation analysis on two aspects of modelling improvement.Firstly,a principal component analysis(PCA)combined with a hierarchal clustering algorithm is used to achieve the salient and time-varying patterns of wind power,then a sequential UGF equivalent model of wind power output is established by an apportioning method.Secondly,other than the traditional two-state models,the conventional generator UGF equivalent model is established as a four discrete-state continuous-time Markov model by Lztransform.In the construction process of such a UGF model,the state values are transformed into the integral multiples of one common factor by choosing proper common factors,thus effectively restraining the exponential growth of its state number and alleviating the explosion thereof.The method is suitable for reliability assessment with dynamic probabilistic distributed random variables.In addition,by acquiring the clustering information of wind power,the system reliability indices,such as fuel cost and CO_(2) emissions through different seasons and on different workdays,are calculated.Finally,the effectiveness of the method is verified by a modified IEEE-RTS 79 system integrated with several wind farms of historical hourly wind power data of Zhangbei wind farm in North China.
文摘智能互联产品(smart and connected products,SCPs)融合物联网与人工智能技术,依托嵌入式传感器和网络连接实现实时交互,已然成为智能家居、工业4.0及智慧城市发展的核心驱动力。用户评论作为反映消费者需求与满意度的重要数据源,为优化产品设计和提升用户体验提供了关键依据。针对现有情感分析方法在复杂语义建模、模糊语言量化和可解释性方面的不足,本文提出一种综合情感分析框架以及满意度分析方法。首先,采用双向长短期记忆网络(bidirectional long short-term memory,BiLSTM)精准捕捉评论文本的语义关联;其次,利用概率语言术语集(probabilistic linguistic term set,PLTS)量化模糊语言的不确定性;再者,通过Shapley加性解释(Shapley additive explanations,SHAP)揭示特征对情感预测的贡献;最后,结合SHAP和重要性-满意度分析(importance-performance analysis,IPA)以生成优化优先级建议。本文以智能音箱为例,通过实验验证所提情感分析框架的有效性,测试集F1分数达0.967,AUC达0.979,显著优于传统方法。因此,本文不仅有助于完善SCPs的情感分析,还为产品功能优化和个性化推荐提供科学依据与实践指导。
文摘西北地区可再生能源资源与电力需求不平衡的现状,使得发展风火联合外送成为促进新能源消纳的重要举措。而风电出力的不确定性给风火联合外送的经济性、可靠性效益评估造成了困难。针对该问题,文章采用风电多状态模型,引入机组剩余容量的概念,提出了联合外送概率模型以模拟送端电网对受端电网的电力支援过程。结合各类型电源特点,设计了考虑风火联合外送的互联系统随机生产模拟算法框架。通过EPRI 36算例验证了所提方法的有效性,并且通过对酒泉—湖南±800 k V直流输电工程进行随机生产模拟,研究了酒泉直流对受端电网充裕度的改善、酒泉直流的环保效益以及直流输电利用小时数对酒泉直流经济性的影响。
文摘为了提高可中断负荷(Interruptible Load,IL)承担高峰时段市场备用的安全可靠性和经济性,构建了IL参与高峰时段市场备用的选择评估模型和电网企业效益测算模型。基于随机生产模拟方法,从安全可靠性和经济性两个层面,选取了响应时间、系统缺电量减少额等4个主要评选指标,利用理想点排序法(Technique for Order Preference by Similarity to an Ideal Solution,TOPSIS)对IL的优劣特性进行了综合评价。测算了电网企业择优购入部分IL承担高峰时段市场备用后的效益状况。算例结果表明:该选择评估模型能很好地甄别各种IL在安全可靠性和经济性方面的优劣差异,能有效提高电网的供电可靠性和经济性,从而证明了模型的科学性和有效性。
文摘针对风电机组出力的间歇性和波动性,提出了基于等效电量频率法(equiva1ent energy and frequency function method,EEFF)的电力系统随机生产模拟方法。将等效电量函数法(equiva1ent energy function method,EEF)与频率持续法(frequency and duration,FD)相结合,用来评估风电场接入对电力系统生产运行的影响。该方法在生产模拟中保留了负荷和风电机组的时变特性,除了可以得到常规算法所能得到的生产模拟结果外,还可以评估风电场对常规机组造成的开停机影响,以及与火电机组开机、暖机等因素相关的动态费用。EPRI36机组随机生产模拟结果验证了所提方法的正确性和有效性。
