基于混合定价机制的高估价顾客购买策略

在传统市场和网络市场上销售具有价值易逝性的商品,研究顾客在卖方定价与买方定价这一混合定价机制下的购买行为.分析了顾客的最优出价策略,讨论了成交价和顾客获胜概率,得到高估价顾客的购买策略.     

一种在未知噪声下的快速波达方向估计方法

提出了一种基于传播算子方法的波达方向估计（direction of arrival, DOA）算法,和传统的子空间方法相比,该方法不需要进行矩阵特征分解,有效降低了运算复杂度,同时它对相干信源有更高的分辨率。另外,传统的传播算子方法只在噪声协方差矩阵已知并且信噪比（signal-to-noise ratio, SNR）较高的情况下才有很好的分辨率,而本方法在未知相关噪声场中也能够保持非常高的精度。最后,引入了基于混沌优化思想的谱峰搜索算法,进一步减少了算法运算时间,并通过仿真实验验证了文中结论。     

基于矩阵重构的非相干分布源参数估计方法

针对现有非相干分布源参数估计算法计算量大等问题,提出了一种新的DOA和角度扩展估计算法.该算法利用空间频率近似模型下的非相干分布源协方差矩阵的结构特点.协方差矩阵可分为相位信息矩阵和幅度信息矩阵.对相位信息矩阵进行重构,对重构后的协方差矩阵利用MUSIC等传统方法即可实现DOA的估计;对幅度信息矩阵的各主次对角线上的元素均进行平滑得到幅度信息平滑向量,估计得到的DOA代入幅度信息中即可得到角度扩展的估计,从而实现非相干分布源DOA和角度扩展分离估计.计算机仿真验证了算法的性能.     

二维相干信号测向估计方法

针对双平行线阵列,提出了一种相干信号二维波达方向估计新方法.该方法利用双平行线阵的特点,在空间平滑法基础上通过构造新的协方差矩阵,进一步去除了信源间的相干性.相对空间平滑法计算量无明显增加,并且利用信号的方向矢量元素来直接估计信号角度.该方法不需要谱峰搜索,大大减小了运算量,具有分辨率高和估计方差小的优点.最后,通过仿真说明了该方法的有效性.     

带有二次订购的单制造商多销售商协调模型

在单周期易逝品供应链协调问题的研究中,常常借助于经典的报童模型,限制销售商的订货机会只有一次,然而在实际中,销售商常常会在销售期末进行再次订购.考虑了两次订货机会下由单制造商和多个销售商组成的供应链生产销售易逝品的协调模型,给出了模型的分析解,同时给出了使得供应链达到协调的一个全单位量折扣策略.并且用数值实例证实了本模型的特例-单制造商单销售商协调模型所得的系统期望总利润要高于已有此类模型的相应结果.     

Underdetermined DOA estimation and blind separation of non-disjoint sources in time-frequency domain based on sparse representation method

This paper deals with the blind separation of nonstation-ary sources and direction-of-arrival （DOA） estimation in the under-determined case, when there are more sources than sensors. We assume the sources to be time-frequency （TF） disjoint to a certain extent. In particular, the number of sources presented at any TF neighborhood is strictly less than that of sensors. We can identify the real number of active sources and achieve separation in any TF neighborhood by the sparse representation method. Compared with the subspace-based algorithm under the same sparseness assumption, which suffers from the extra noise effect since it can-not estimate the true number of active sources, the proposed algorithm can estimate the number of active sources and their cor-responding TF values in any TF neighborhood simultaneously. An-other contribution of this paper is a new estimation procedure for the DOA of sources in the underdetermined case, which combines the TF sparseness of sources and the clustering technique. Sim-ulation results demonstrate the validity and high performance of the proposed algorithm in both blind source separation （BSS） and DOA estimation.     

Higher-order principal component pursuit via tensor approximation and convex optimization

Recovering the low-rank structure of data matrix from sparse errors arises in the principal component pursuit （PCP）. This paper exploits the higher-order generalization of matrix recovery, named higher-order principal component pursuit （HOPCP）, since it is critical in multi-way data analysis. Unlike the convexification （nuclear norm） for matrix rank function, the tensorial nuclear norm is stil an open problem. While existing preliminary works on the tensor completion field provide a viable way to indicate the low complexity estimate of tensor, therefore, the paper focuses on the low multi-linear rank tensor and adopt its convex relaxation to formulate the convex optimization model of HOPCP. The paper further propose two algorithms for HOPCP based on alternative minimization scheme： the augmented Lagrangian alternating direction method （ALADM） and its truncated higher-order singular value decomposition （ALADM-THOSVD） version. The former can obtain a high accuracy solution while the latter is more efficient to handle the computationally intractable problems. Experimental results on both synthetic data and real magnetic resonance imaging data show the applicability of our algorithms in high-dimensional tensor data processing.     

基于顾客选择模型易逝性产品收益管理订购和定价策略

以获得最大期望利润为目标,讨论了随机需求环境下基于多项logit顾客选择模型和服务水平的两产品易逝性产品收益管理订购和定价策略,对建立的模型应用威布尔主观价值需求函数对行了模拟分析和讨论,得出了最优策略和一系列比较有意义的性质和管理原则.     

可变价格向下替代易逝性产品最优订货策略

讨论了随机需求环境下完全向下替代的两代易逝品订货策略,对模型的最优条件和性质进行了证明,结论表明:零售商提供替代性的产品可以获得更高的期望利润,被替代产品的订货量与价格折扣成反比,替代产品的订货量与价格折扣成正比,零售商的期望利润则与价格折扣成正比.     

Polynomial-rooting based fourth-order MUSIC for direction-of-arrival estimation of noncircular signals

A polynomial-rooting based fourth-order cumulant algorithm is presented for direction-of-arrival（DOA） estimation of second-order fully noncircular source signals, using a uniform linear array（ULA）. This algorithm inherits all merits of its spectralsearching counterpart except for the applicability to arbitrary array geometry, while reducing considerably the computation cost.Simulation results show that the proposed algorithm outperforms the previously developed closed-form second-order noncircular ESPRIT method, in terms of processing capacity and DOA estimation accuracy, especially in the presence of spatially colored noise.