敷设气囊的充水圆柱壳的声辐射特性

为降低充水圆柱壳受内部点声源激励时的水下辐射噪声,在其外壳上敷设气囊,形成气囊圆柱壳。为指导气囊圆柱壳的设计,将充水裸圆柱壳和充水气囊圆柱壳分别简化为单、双层无限长隔板。比较隔板、气体与水的波阻抗,分析气体声速与层厚对双层无限长隔板在平面声波入射时的低频声辐射的影响机理。分析表明,声速小的气体和适当的气层厚度可以降低双层障板的辐射噪声。采用声无限元法计算气囊圆柱壳的水下声辐射,结论与对隔板的机理分析吻合。优化设计出的充水CO2气囊圆柱壳的水下辐射声功率与远场辐射声压明显低于充水裸圆柱壳。     

Dynamic inventory and pricing models for competing retailers

We address infinite‐horizon models for oligopolies with competing retailers under demand uncertainty. We characterize the equilibrium behavior which arises under simple wholesale pricing schemes. More specifically, we consider a periodic review, infinite‐horizon model for a two‐echelon system with a single supplier servicing a network of competing retailers. In every period, each retailer faces a random demand volume, the distribution of which depends on his own retail price as well as those charged by possibly all competing retailers. We also derive various comparative statics results regarding the impact several exogenous system parameters (e.g., cost or distributional parameters) have on the equilibrium decisions of the retailers as well as their expected profits. We show that certain monotonicity properties, engrained in folklore as well as in known inventory models for centralized systems, may break down in decentralized chains under retailer competition. Our results can be used to optimize the aggregate profits in the supply chain (i.e., those of the supplier and all retailers) by implementing a specific wholesale pricing scheme. © 2003 Wiley Periodicals, Inc. Naval Research Logistics, 2004.     

附连水质量的边界元法求解

研究了计算水下结构动态响应中附连水质量的边界元方法;根据数值积分和边界元法的原理,应用直线单元对结构边界进行离散,将原有表达形式中复杂的曲线积分转化成可直接计算的数值积分形式,从而解决了奇异积分的问题;得到了更适于直接计算的系数矩阵和向量的表达形式,使边界元法更方便地应用于计算无限流场中不规则截面物体的附连水质量.最后,给出了典型算例,并与经典计算结果比较,误差均在4%以内.     

论微分方程中的两个不等式

对于具有无限时滞中立型泛函微分方程,以空间为相空间,讨论了方程解的性质,得到了关于解的两个重要不等式。     

Matrix-geometric solution of discrete time MAP/PH/1 priority queue

We use the matrix-geometric method to study the discrete time MAP/PH/1 priority queue with two types of jobs. Both preemptive and non-preemptive cases are considered. We show that the structure of the R matrix obtained by Miller for the Birth-Death system can be extended to our Quasi-Birth-Death case. For both preemptive and non-preemptive cases the distributions of the number of jobs of each type in the system are obtained and their waiting times are obtained for the non-preemptive. For the preemptive case we obtain the waiting time distribution for the high priority job and the distribution of the lower priority job's wait before it becomes the leading job of its priority class. © 1998 John Wiley & Sons, Inc. Naval Research Logistics 45: 23–50, 1998     

一类非自治单种群模型的持久性

在这篇文章里，我们利用微分方程比较原理以及一些精细的分析方法，研究了具有无限时滞和反馈控制的非自治单种群模型的持久性，得到了一些新的结论。     

装甲车辆驾驶动作模糊模式识别研究

针对装甲车辆驾驶技能等级评判系统中,如何将驾驶训练过程中采集的驾驶动作数据还原成实际驾驶操作动作的瓶颈问题,采用模糊模式识别的方法,实现了对无限长待识序列数据的识别,并通过对实车采集数据的分析,验证了识别的有效性和准确性。     

平面光波导的数值传递函数方法

把数值传递函数方法应用于对平面光波导的分析。本方法从光波导的标量变分关系出发 ,通过状态方程对问题求解计算。文中引入了传递函数无穷单元的概念 ,使得本方法在处理近截止区域的问题时更加合理 ,计算量更小。文后给出了本文方法的应用和算例 ,与多种方法进行了比较 ,表明本文方法在处理折射率均匀分布和渐变分布波导时都有着特有的优势。     

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.     

一类无穷次多项式系统极限环研究

利用平面自治系统的极限环理论和分支理论研究了一类无穷次多项式系统,并讨论了该系统极限环的存在性和唯一性。应用所得结论,推广并改进了前人的结果。