Locating a target from directional data

Statistical estimation plays an important role in locating a target in space, a task that has important applications in many areas. However, theoretical measures on the quality of various estimators reported in the literature have been difficult to obtain because of mathematical complications. As a result, choice of estimator in practice has been largely arbitrary. In this paper, we present a systematic study on major target estimators reported in the literature. Focus is on comparisons between the traditional angle method, the line method, and a recently developed line-to-point transformation method. Insights gained from the study directly lead to the development of a novel two-stage angle method that not only produces highly accurate target estimation among all known estimators but is also computationally efficient. © 1998 John Wiley & Sons, Inc. Naval Research Logistics 45: 353–364, 1998     

Probabilistic analysis of an asymptotically optimal solution for the completion time variance problem

Scheduling a set of n jobs on a single machine so as to minimize the completion time variance is a well‐known NP‐hard problem. In this paper, we propose a sequence, which can be constructed in O(n log n) time, as a solution for the problem. Our primary concern is to establish the asymptotical optimality of the sequence within the framework of probabilistic analysis. Our main result is that, when the processing times are randomly and independently drawn from the same uniform distribution, the sequence is asymptotically optimal in the sense that its relative error converges to zero in probability as n increases. Other theoretical results are also derived, including: (i) When the processing times follow a symmetric structure, the problem has 2^{⌊(n−1)/2⌋} optimal sequences, which include our proposed sequence and other heuristic sequences suggested in the literature; and (ii) when these 2^{⌊(n−1)/2⌋} sequences are used as approximate solutions for a general problem, our proposed sequence yields the best approximation (in an average sense) while another sequence, which is commonly believed to be a good approximation in the literature, is interestingly the worst. © 1999 John Wiley & Sons, Inc. Naval Research Logistics 46: 373–398, 1999     

聚钛碳硅烷的新合成法及其研究

从聚硅烷(PS)与钛酸丁酯。(Ti(OBu)_4)出发,不采用任何反应促进剂直接合成了含钛碳化硅纤维的先驱体聚钛碳硅烷(PTC)。在这一反应中,PS 首先裂解成含Si—C 骨架与Si—H 键的低分子聚硅烷(LPS)。然后,由LPS 中的Si—H 键与Ti(OBu)_4的反应以及LPS 的Si—Si 骨架裂解转化为Si—C 骨架的反应制得了PTC.本文对这种新合成法所涉及的反应过程进行了研究,并比较了新旧两法得到的PTC—1与PTC—Ⅱ的结构异同,报告了以新法制得的PTC—Ⅱ为先驱体得到的含钛碳化硅纤维的优良性能。     

Robust shortest path planning and semicontractive dynamic programming

In this article, we consider shortest path problems in a directed graph where the transitions between nodes are subject to uncertainty. We use a minimax formulation, where the objective is to guarantee that a special destination state is reached with a minimum cost path under the worst possible instance of the uncertainty. Problems of this type arise, among others, in planning and pursuit‐evasion contexts, and in model predictive control. Our analysis makes use of the recently developed theory of abstract semicontractive dynamic programming models. We investigate questions of existence and uniqueness of solution of the optimality equation, existence of optimal paths, and the validity of various algorithms patterned after the classical methods of value and policy iteration, as well as a Dijkstra‐like algorithm for problems with nonnegative arc lengths.© 2016 Wiley Periodicals, Inc. Naval Research Logistics 66:15–37, 2019     

近地卫星Ka频段数传链路抗雨衰自适应模式设计

针对近地卫星数传时的信道时变性和严重的Ka频段雨衰现象,采用自适应编码调制(Adaptive Coding and Modulation, ACM)技术能够充分利用链路资源,相对于传统的固定编码调制方式,进一步提高链路的数据吞吐量。提出近地卫星Ka频段数传链路ACM模式设计方法,在降雨环境下建立Ka频段数传链路模型,根据链路预算的信道状况确定ACM选用模式;采用基于导频符号的最大似然信噪比估计算法结合移动平均的平滑方法实现信道估计,有效地减小了估计值的波动。仿真结果表明,无论晴天还是雨天,采用提出的卫星数传链路ACM模式设计方法,能够在保证系统可靠性的同时获取较高的数据吞吐量。     

Stage life testing

In progressive censoring, items are removed at certain times during the life test. Commonly, it is assumed that the removed items are used for further testing. In order to take into account information about these additional testing in inferential procedures, we propose a two‐step model of stage life testing with one fixed stage‐change time which incorporates information about both the removed items (further tested under different conditions) and those remaining in the current life test. We show that some marginal distributions in our model correspond either to progressive censoring with a fixed censoring time or to a simple‐step stress model. Furthermore, assuming a cumulative exposure model, we establish exact inferential results for the distribution parameters when the lifetimes are exponentially distributed. An extension to Weibull distributed lifetimes is also discussed.     

Pairwise model discrimination with applications in lifetime distributions and degradation processes

Reliability data obtained from life tests and degradation tests have been extensively used for purposes such as estimating product reliability and predicting warranty costs. When there is more than one candidate model, an important task is to discriminate between the models. In the literature, the model discrimination was often treated as a hypothesis test and a pairwise model discrimination procedure was carried out. Because the null distribution of the test statistic is unavailable in most cases, the large sample approximation and the bootstrap were frequently used to find the acceptance region of the test. Although these two methods are asymptotically accurate, their performance in terms of size and power is not satisfactory in small sample size. To enhance the small‐sample performance, we propose a new method to approximate the null distribution, which builds on the idea of generalized pivots. Conventionally, the generalized pivots were often used for interval estimation of a certain parameter or function of parameters in presence of nuisance parameters. In this study, we further extend the idea of generalized pivots to find the acceptance region of the model discrimination test. Through extensive simulations, we show that the proposed method performs better than the existing methods in discriminating between two lifetime distributions or two degradation models over a wide range of sample sizes. Two real examples are used to illustrate the proposed methods.     

高超声速滑翔导弹气动参数自适应跟踪建模

针对高超声速滑翔导弹跟踪中状态模型构建问题,研究基于制导变量变化规律的气动参数建模方法。对气动参数进行分析,指出传统建模方法的缺点。在假设制导变量服从一阶时滞过程的前提下,利用线性化的气动系数推导气动参数模型,通过分析不同飞行状态下的模型变式,证明模型对目标机动具有自适应性。对模型中未知参数的取值问题进行讨论,实现模型与飞行状态的自适应匹配。仿真结果表明：当目标发生机动时,所提模型性能明显优于传统模型。同时,在不同滤波器参数条件下的仿真结果进一步证实了模型的有效性。     

军事攻防中的多属性资源分配对策模型

针对资源受限情形下的两阶段攻防资源分配问题,提出一种基于多属性决策的资源分配对策模型。防守者首先将有限的防护资源分配到不同的目标上,继而进攻者选择一种威胁组合方式对目标实施打击。基于博弈论相关知识,模型的求解结果可以使防守者最小化自身损失,使进攻者最大化进攻收益。同时,针对模型的特点,给出了一些推论和证明。通过一个示例验证了模型的合理性以及相关推论的准确性,能够为攻、防双方规划决策提供辅助支持。     

外挂式导弹机弹分离气动干扰特性研究

以经典的机翼/挂架/导弹组合模型为例,采用重叠网格软件系统和计算流体力学技术,从机弹干扰工况简化和气动干扰特性影响因素分析两个方面对外挂式导弹机弹分离气动干扰特性进行研究。导弹分离轨迹参数和气动干扰系数的数值预示结果与捕获轨迹试验结果吻合,表明该计算方法能有效预测机弹分离轨迹和分析导弹与载机间复杂气动干扰现象。根据计算流体力学结果,从马赫数、机翼攻角、导弹攻角等方面,给出导弹在不同分离工况下的气动干扰规律,并采用增量系数法对缺失工况进行一阶外插处理的气动干扰数据外推方法,可应用于机载外挂空基武器的机弹分离轨迹预示和气动干扰特性设计中,具有重要的工程应用价值。