基于效用函数的质量模型研究

在标准形式的CES效用函数的基础上引入饱和需求量，得出扩展形式的CES效用函数，展现其新的数量特征，并进一步利用质量效用函数模型描述劣质品和吉芬商品的需求特性．     

新成员的加入对供应商网络效率的影响分析

不断有企业进入或者退出供应商网络,网络中企业的效用和网络效率都会受到影响.本文把关系收益和竞争系数结合起来,构建了新的效用函数.并通过效用的比较分析,竞争系数对称时,新企业的加入会使网络效率增加的结论,并进一步给出了进入企业选择与中心企业或者与边缘企业建立关系所应满足的条件;而竞争系数不对称时,网络效率可能会降低.     

"边信息"的效用优化及其影响

本文考虑受随机因素影响的股票价模型 ,投资者仅知道的股价信息 (公共信息 )和“边信息”的效用优化问题 .我们利用测度的变换和投影 ,给出了具有“边信息”和不具“边信息”两种情况下的最优财富形式 .对于对数效用函数 ,我们比较最优效用 ,讨论了“边信息”的影响     

Utilization of mathematical programming for public systems: An application to effective formation of integrated regional information networks

This paper concerns a methodological reflection on the multiobjective approach to public systems which involve group decision processes. Particular attention is given to an integrated program of regional systems which include value trade-offs between multiple objectives. Our intention is to combine the judgmental processes with the optimization processes in the soft public systems. A two-layer approach is applied. At the first layer, each regional program is formulated in mathematical programming based on a utility assessment with different regional characteristics. Each subsystem independently reflects its particular concern as a single agent. The dual optimal solutions obtained for each subsystem are treated as an index, or the theoretical prices, representing the value trade-offs among the multiple objectives. At the second layer, an effective formation of interregional cooperation for compromising the conflicting regional interests is examined. Ann-person cooperative game in the characteristic function form is used to evaluate the effectiveness of the cooperation. The characteristic function for the game is derived on the incremental value of the regional benefit after the formation of a cooperation. The nucleolus and the augmented nucleolus as the solution concepts of the cooperative game are used for indicating the effectiveness of the cooperation. Finally using alternative criteria, the results in assessing the best decisions are examined comparatively.     

Weighted Banzhaf values

The family of weighted Banzhaf values for cooperativen-person TU-games is studied. First we introduce the weighted Banzhaf value for an exogenously given vector of positive weights of the players. Then we give an axiomatic characterization of the class of all possible weighted Banzhaf values.     

基于双连接和回传带宽配置的系统吞吐量效用和最大化算法

针对双连接可行的异构无线网络中关于用户关联和回传带宽配置的联合优化问题,构建了一个新的网络吞吐量效用和最大化框架。将该联合优化问题建模为一个非凸的混合整数分式优化问题。为了便于求解,首先将原建模问题进行去分式化转换,然后针对转换后依旧非凸的混合整数非线性优化问题,将其分解为两个优化子问题分别求解。通过固定用户关联变量,得到了最优的回传带宽配置机制;通过固定回传带宽配置因子变量,提出一个有效的迭代算法求解双连接可行的用户关联子问题。相比固定的回传带宽配置机制,所提算法可以获得最优的回传单位带宽配置因子值,同时拥有最优的系统吞吐量和系统吞吐量效用和性能。     

基于全同态加密的理性委托计算协议

传统委托计算因需验证方验证其计算结果,从而导致协议效率低下.针对此问题,本文结合博弈委托代理理论和全同态加密技术,提出理性委托计算协议.该协议通过参与者之间的效用函数保证计算结果的正确性,无需验证方进行验证.首先,利用博弈委托代理理论,构造委托计算博弈模型;其次,结合全同态加密技术,构造理性委托计算协议;最后,对协议进行实验与分析,结果表明,该协议不但保证了安全性和正确性,并且全局可达帕累托最优.     

Study on utility optimization for randomized response mechanism

For the study of privacy-utility trade-off in local differential privacy,the utility optimization models of binary generalized random response mechanism for the case of differential privacy and approximate differential privacy were established.By graphic method,optimality proof,software solution and extreme point method,the exact expression of the optimal utility with privacy budget and the distribution of input data was obtained,and the corresponding optimal randomized response mechanism was given.The results show that both the optimal utility and optimal mechanism are related to privacy budget and input data distribution.Moreover,the discussion for multivariate randomized response mechanism shows that the method of extreme points of local differential privacy is feasible to the solution.     

预警机JTIDS对抗作战能力评估模型

基于预警机JTIDS的特点和战术运用,分析了预警机JTIDS对抗的作战能力构成,建立了相应的评估模型,并将决策分析中的效用函数理论应用于各模型中的各单项效能参数分析,构建统一的价值函数模型,使得各层次中指标的效用值具有可比性,可以直观地比较各能力的能力值。     

保险公司和再保险公司之间的停止损失再保险策略选择博弈

本文在扩散逼近风险模型下考虑保险公司和再保险公司之间的停止损失再保险策略选择博弈问题.假设保险公司和再保险公司都以期望终端盈余效用增加作为购买停止损失再保险和接受承保的条件.在保险公司和再保险公司都具有指数效用函数条件下,运用动态规划原理,通过求解其对应的Hamilton-Jacobi-Bellman方程,得到了三种博...