为全面综合评价国内一线城市对人才的吸引力,选取9个典型城市作为研究对象,确定经济发展水平、社会因素、生活质量、教育资源、环境与公共服务5个因子作为1级指标,并派生出17个2级指标,构建人才吸引力指标评价体系;同时,利用优劣解距离...为全面综合评价国内一线城市对人才的吸引力,选取9个典型城市作为研究对象,确定经济发展水平、社会因素、生活质量、教育资源、环境与公共服务5个因子作为1级指标,并派生出17个2级指标,构建人才吸引力指标评价体系;同时,利用优劣解距离法(technique for order preference by similarity to an ideal solution, TOPSIS)-熵权法及聚类分析法对9个城市人才吸引力指数和城市间发展共性和特性进行分析。研究结果显示:规模以上工业企业数量指标占比最高。北京、上海、深圳和广州归为第一层次的城市,成都、杭州和武汉为第二层次城市,第三层次为宁波和西安。同时为不同类型的城市提出针对性建议:对第一层次城市,建议引入社会资本完善社区养老体系,同时优化基础教育资源分配;对第二层次城市,建议选择1~2个战略性产业重点突破;对第三层次城市,建议挖掘历史文化资源,打造特色人才文化IP。展开更多
本文研究了一类延迟信息下的随机最优控制问题,其中控制过程是关于延迟信息的滤子流适应,且系统中多个噪声不独立具有相关性。本文首先利用凸变分法建立必要最大值原理,进一步假设哈密尔顿函数和终端效用函数具有凹性得到充分最大值原理...本文研究了一类延迟信息下的随机最优控制问题,其中控制过程是关于延迟信息的滤子流适应,且系统中多个噪声不独立具有相关性。本文首先利用凸变分法建立必要最大值原理,进一步假设哈密尔顿函数和终端效用函数具有凹性得到充分最大值原理,最后将得到的充分必要最大值原理应用于一类资产组合配置问题中的均值–方差模型。This paper studies a class of stochastic optimal control problems with delayed information, where the control process is adapted to the delayed filtration, which describes the delayed information, and that the noises in the system are not independent but correlated. The necessary maximum principle is established using the convex variational method. Furthermore, the sufficient maximum principle is given on the assumption that the Hamiltonian function and the terminal utility function are concave. Finally, the obtained maximum principles are applied to the mean-variance model for a class of asset portfolio allocation problems.展开更多
This paper aims to study the optimal control and algorithm implementation of a generalized epidemic model governed by reaction-diffusion equations.Considering individual mobility,this paper first proposes a reaction-d...This paper aims to study the optimal control and algorithm implementation of a generalized epidemic model governed by reaction-diffusion equations.Considering individual mobility,this paper first proposes a reaction-diffusion epidemic model with two strains.Furthermore,applying vaccines as a control strategy in the model,an optimal control problem is proposed to increase the number of healthy individuals while reducing control costs.By applying the truncation function technique and the operator semigroup methods,we prove the existence and uniqueness of a globally positive strong solution for the control model.The existence of the optimal control strategy is proven by using functional analysis theory and minimum sequence methods.The first-order necessary condition satisfied by the optimal control is established by employing the dual techniques.Finally,a specific example and its algorithm are provided.展开更多
Finding the optimal control is of importance to quantum metrology under a noisy environment.In this paper,we tackle the problem of finding the optimal control to enhance the performance of quantum metrology under an a...Finding the optimal control is of importance to quantum metrology under a noisy environment.In this paper,we tackle the problem of finding the optimal control to enhance the performance of quantum metrology under an arbitrary non-Markovian bosonic environment.By introducing an equivalent pseudomode model,the non-Markovian dynamic evolution is reduced to a Lindblad master equation,which helps us to calculate the gradient of quantum Fisher information and perform the gradient ascent algorithm to find the optimal control.Our approach is accurate and circumvents the need for the Born-Markovian approximation.As an example,we consider the frequency estimation of a spin with pure dephasing under two types of non-Markovian environments.By maximizing the quantum Fisher information at a fixed evolution time,we obtain the optimal multi-axis control,which results in a notable enhancement in quantum metrology.The advantage of our method lies in its applicability to the arbitrary non-Markovian bosonic environment.展开更多
作为一类以动物宿主接触及性传播为主要途径的病毒性传染病,猴痘在2022~2023年全球范围内呈现出突发性与快速传播特征。本研究聚焦于无动物宿主输入的国家中,女性与男性患者感染特征的异质性,进而构建性别分组的SEIR动力学模型以解析病...作为一类以动物宿主接触及性传播为主要途径的病毒性传染病,猴痘在2022~2023年全球范围内呈现出突发性与快速传播特征。本研究聚焦于无动物宿主输入的国家中,女性与男性患者感染特征的异质性,进而构建性别分组的SEIR动力学模型以解析病毒传播动态。通过引入庞特里亚金极大值原理(Pontryagin’s maximum principle),系统推导了模型的最优控制策略。基于美国疫情数据的参数化数值模拟表明,干预措施需优先针对高风险人群——尤其是男性群体,且疫苗早期覆盖率对疫情控制具有显著敏感性。研究结果为政府防控策略提供了理论依据,强调在疫情初期即需优化男性群体疫苗接种优先级,以有效抑制传播链。展开更多
文摘为全面综合评价国内一线城市对人才的吸引力,选取9个典型城市作为研究对象,确定经济发展水平、社会因素、生活质量、教育资源、环境与公共服务5个因子作为1级指标,并派生出17个2级指标,构建人才吸引力指标评价体系;同时,利用优劣解距离法(technique for order preference by similarity to an ideal solution, TOPSIS)-熵权法及聚类分析法对9个城市人才吸引力指数和城市间发展共性和特性进行分析。研究结果显示:规模以上工业企业数量指标占比最高。北京、上海、深圳和广州归为第一层次的城市,成都、杭州和武汉为第二层次城市,第三层次为宁波和西安。同时为不同类型的城市提出针对性建议:对第一层次城市,建议引入社会资本完善社区养老体系,同时优化基础教育资源分配;对第二层次城市,建议选择1~2个战略性产业重点突破;对第三层次城市,建议挖掘历史文化资源,打造特色人才文化IP。
文摘本文研究了一类延迟信息下的随机最优控制问题,其中控制过程是关于延迟信息的滤子流适应,且系统中多个噪声不独立具有相关性。本文首先利用凸变分法建立必要最大值原理,进一步假设哈密尔顿函数和终端效用函数具有凹性得到充分最大值原理,最后将得到的充分必要最大值原理应用于一类资产组合配置问题中的均值–方差模型。This paper studies a class of stochastic optimal control problems with delayed information, where the control process is adapted to the delayed filtration, which describes the delayed information, and that the noises in the system are not independent but correlated. The necessary maximum principle is established using the convex variational method. Furthermore, the sufficient maximum principle is given on the assumption that the Hamiltonian function and the terminal utility function are concave. Finally, the obtained maximum principles are applied to the mean-variance model for a class of asset portfolio allocation problems.
基金Supported by the National Natural Science Foundation of China(Grant Nos.125610811246108612271147)。
文摘This paper aims to study the optimal control and algorithm implementation of a generalized epidemic model governed by reaction-diffusion equations.Considering individual mobility,this paper first proposes a reaction-diffusion epidemic model with two strains.Furthermore,applying vaccines as a control strategy in the model,an optimal control problem is proposed to increase the number of healthy individuals while reducing control costs.By applying the truncation function technique and the operator semigroup methods,we prove the existence and uniqueness of a globally positive strong solution for the control model.The existence of the optimal control strategy is proven by using functional analysis theory and minimum sequence methods.The first-order necessary condition satisfied by the optimal control is established by employing the dual techniques.Finally,a specific example and its algorithm are provided.
基金supported by the National Natural Science Foundation of China(Grant No.12274019)the NSAF Joint Fund(Grant No.U2230402)。
文摘Finding the optimal control is of importance to quantum metrology under a noisy environment.In this paper,we tackle the problem of finding the optimal control to enhance the performance of quantum metrology under an arbitrary non-Markovian bosonic environment.By introducing an equivalent pseudomode model,the non-Markovian dynamic evolution is reduced to a Lindblad master equation,which helps us to calculate the gradient of quantum Fisher information and perform the gradient ascent algorithm to find the optimal control.Our approach is accurate and circumvents the need for the Born-Markovian approximation.As an example,we consider the frequency estimation of a spin with pure dephasing under two types of non-Markovian environments.By maximizing the quantum Fisher information at a fixed evolution time,we obtain the optimal multi-axis control,which results in a notable enhancement in quantum metrology.The advantage of our method lies in its applicability to the arbitrary non-Markovian bosonic environment.
文摘作为一类以动物宿主接触及性传播为主要途径的病毒性传染病,猴痘在2022~2023年全球范围内呈现出突发性与快速传播特征。本研究聚焦于无动物宿主输入的国家中,女性与男性患者感染特征的异质性,进而构建性别分组的SEIR动力学模型以解析病毒传播动态。通过引入庞特里亚金极大值原理(Pontryagin’s maximum principle),系统推导了模型的最优控制策略。基于美国疫情数据的参数化数值模拟表明,干预措施需优先针对高风险人群——尤其是男性群体,且疫苗早期覆盖率对疫情控制具有显著敏感性。研究结果为政府防控策略提供了理论依据,强调在疫情初期即需优化男性群体疫苗接种优先级,以有效抑制传播链。
