基于偏差熵的专家聚类赋权方法

在群决策专家聚类赋权过程中,可能出现专家给出的判断矩阵一致性比率与排序向量信息熵都相等但专家意见不同,却被赋予了相同权重的情况。针对上述问题,提出一种基于偏差熵的专家聚类赋权方法。该方法采用聚类分析的思想,基于比例构建相似系数,实现对专家群的分类;引入专家判断矩阵的一致性权重,并综合类容量构建权重指标来反映类别间的差异,确定专家类间权重;最后,在各专家类中建立偏差熵模型,依据类中专家达成一致性意见的贡献程度确定专家的类内权重,并得到专家的总体权重。具体算例表明,该方法可行有效。     

Stochastic call center staffing with uncertain arrival,service and abandonment rates: A Bayesian perspective

In this article, we introduce staffing strategies for the Erlang‐A queuing system in call center operations with uncertain arrival, service, and abandonment rates. In doing so, we model the system rates using gamma distributions that create randomness in operating characteristics used in the optimization formulation. We divide the day into discrete time intervals where a simulation based stochastic programming method is used to determine staffing levels. More specifically, we develop a model to select the optimal number of agents required for a given time interval by minimizing an expected cost function, which consists of agent and abandonment (opportunity) costs, while considering the service quality requirements such as the delay probability. The objective function as well as the constraints in our formulation are random variables. The novelty of our approach is to introduce a solution method for the staffing of an operation where all three system rates (arrival, service, and abandonment) are random variables. We illustrate the use of the proposed model using both real and simulated call center data. In addition, we provide solution comparisons across different formulations, consider a dynamic extension, and discuss sensitivity implications of changing constraint upper bounds as well as prior hyper‐parameters. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 460–478, 2016     

基于权重的AHP判断矩阵一致性调整方法

传统的判断矩阵调整方法计算得到的权重不能最大限度地保留原始判断矩阵的信息。为此,提出一种基于权重的判断矩阵调整方法。该方法根据权重的性质,构造完全一致矩阵,利用AdaGrad最速下降法对矩阵进行拟合,使该矩阵相对于原始判断矩阵的总改变量最小,以其对应的权重作为矩阵的计算结果。数值计算结果表明,该方法相比于其他方法,权重对原始判断信息的保留度更高,且不需要反复进行矩阵一致性检验。     

不相容矩阵方程AXB=D的反中心对称迭代解

研究了不相容矩阵方程AXB=D的反中心对称最佳逼近解,基于经典共轭梯度法思想,构造了求解这一问题的迭代算法,证明了该算法的有限终止性并给出了该方法的误差估计,最后利用具体的数值例子验证了算法的有效可行性。     

多边修正算法中的换顶原理及复杂性分析

对于无向赋权图,利用换顶过程中矩阵翻转与数据块调换时上三角部分数据的变化规律,对权值矩阵的数据进行处理,以完成无向完全图中H圈（H路类似）的修正过程。事实上,多边修正的原理最终是通过变换顶点达到的,而其主要用到的换顶规则是矩阵数据的块调换与翻转,该思想还可以推广到有向图的情形。最后利用换顶原理对多边修正算法进行了复杂性分析,讨论修正边数对复杂性的影响。     

一类极点指标与方差指标约束的满意控制

在将极点配置到关于实轴对称的凸多边形区域时 ,总可以用线性矩阵不等式来描述 ,于是对具有状态稳态方差指标、区域极点指标约束的状态反馈系统 ,可以利用 Matlab- L MI工具箱进行求解反馈增益 ,其仿真结果对结论作了说明。     

多载荷识别频响函数矩阵求逆法的改进算法

分析了频响函数矩阵求逆法在多载荷识别中存在的问题 ,提出了两种改进算法 ,即算术平均法和条件数加权平均法。实验结果表明 ,这两种方法在识别精度和消除病态影响方面均优于传统的频域识别方法。     

Discrete‐time analysis of MAP/PH/1 multiclass general preemptive priority queue

We use the matrix‐geometric method to study the MAP/PH/1 general preemptive priority queue with a multiple class of jobs. A procedure for obtaining the block matrices representing the transition matrix P is presented. We show that the special upper triangular structure of the matrix R obtained by Miller [Computation of steady‐state probabilities for M/M/1 priority queues, Oper Res 29(5) (1981), 945–958] can be extended to an upper triangular block structure. Moreover, the subblock matrices of matrix R also have such a structure. With this special structure, we develop a procedure to compute the matrix R. After obtaining the stationary distribution of the system, we study two primary performance indices, namely, the distributions of the number of jobs of each type in the system and their waiting times. Although most of our analysis is carried out for the case of K = 3, the developed approach is general enough to study the other cases (K ≥ 4). © 2003 Wiley Periodicals, Inc. Naval Research Logistics 50: 662–682, 2003.     

矩阵代数中可乘保范映照的显形式

在矩阵的可乘映照理论与应用中,判定一个可乘映照是否保持某类特定的数值特征以及获取可乘映照在保持某类数值特征条件下的解析式备受关注.对此,着重研究了一般可乘映照在具有某种保秩性或保范性下的表示问题.借助于构造的方法,给出了判定一个可乘映照是否为保秩映照的新的便捷方法.针对F=R或C,分别得到了Mn(F)上保1-范数、保∞-范数以及保F范数的可乘映照的显形式,进而证明了Mn(F)上保持1-范数可乘映照必为保F范数映照,而可乘保F范数映照又一定保谱半径、保数值半径、保正规性、保酉性等.     

雷达目标全极化一维距离像的瞬时测量方法

雷达目标宽带全极化测量在雷达成像、目标识别等领域有着重要应用,为此,基于正交频率分集思想,设计了一种用于宽带全极化瞬时测量的矢量信号波形;给出发射信号模型和回波信号模型,利用该波形的单个脉冲回波,可以获取测量带宽内多频点全极化数据,再经逆离散傅立叶变换后可以得到目标的全极化一维距离像;最后,用仿真数据和实测数据进行仿真实验,验证了该方法的有效性.