Scheduling recurrent construction

A problem we call recurrent construction involves manufacturing large, complex, expensive products such as airplanes, houses, and ships. Customers order configurations of these products well in advance of due dates for delivery. Early delivery may not be permitted. How should the manufacturer determine when to purchase and release materials before fabrication, assembly, and delivery? Major material expenses, significant penalties for deliveries beyond due dates, and long product makespans in recurrent construction motivate choosing a release timetable that maximizes the net present value of cash flows. Our heuristic first projects an initial schedule that dispatches worker teams to tasks for the backlogged products, and then solves a series of maximal closure problems to find material release times that maximize NPV. This method compares favorably with other well‐known work release heuristics in solution quality for large problems over a wide range of operating conditions, including order strength, cost structure, utilization level, batch policy, and uncertainty level. Computation times exhibit near linear growth in problem size. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004     

Failure profiles of coherent systems

In this paper we first introduce and study the notion of failure profiles which is based on the concepts of paths and cuts in system reliability. The relationship of failure profiles to two notions of component importance is highlighted, and an expression for the density function of the lifetime of a coherent system, with independent and not necessarily identical component lifetimes, is derived. We then demonstrate the way that failure profiles can be used to establish likelihood ratio orderings of lifetimes of two systems. Finally we use failure profiles to obtain bounds, in the likelihood ratio sense, on the lifetimes of coherent systems with independent and not necessarily identical component lifetimes. The bounds are relatively easy to compute and use. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004     

On vibration analysis of functionally graded carbon nanotube reinforced magneto-electro-elastic plates with different electro-magnetic conditions using higher order finite element methods

This article deals with evaluating the frequency response of functionally graded carbon nanotube rein-forced magneto-electro-elastic (FG-CNTMEE) plates subjected to open and closed electro-magnetic cir-cuit conditions. In this regard finite element formulation has been derived. The plate kinematics adjudged via higher order shear deformation theory (HSDT) is considered for evaluation. The equations of motion are obtained with the help of Hamilton's principle and solved using condensation technique. It is found that the convergence and accuracy of the present FE formulation is very good to address the vibration problem of FG-CNTMEE plate. For the first time, frequency response analysis of FG-CNTMEE plates considering the effect of various circuit conditions associated with parameters such as CNT dis-tributions, volume fraction, skew angle, aspect ratio, length-to-thickness ratio and coupling fields has been carried out. The results of this article can serve as benchmark for future development and analysis of smart structures.     

机场目标打击顺序灰色决策分析

对军事机场目标的结构、特征进行了系统分析,确立了军事机场目标评估体系,并运用灰色决策分析方法建立了军事机场多目标打击顺序确定的优化模型,为对该类实施导弹打击所进行的火力计划拟制提供了一种新的数学方法。     

一类广义L-统计量的极限分布

假定(X1,Y1),(X2,Y2),…,(Xn,Yn)是取自二维随机向量(X,Y)的独立同分布样本.记X(1)≤X(2)≤…≤X(n)是X1,X2,…,Xn产生的次序统计量,Y[1],Y[2],…,Y[n]是诱导的次序统计量.讨论广义L-统计量Tn=n-1 n∑i=1 J(i/n+1)Y[i]的极限分布,式中J(x)是由实际问题的需要而选取的权函数.在较弱的条件下,证明了Tn的渐近正态性,同时给出了Tn的期望和方差的渐近公式.     

实兵演习战场态势研究

实兵演习战场态势是指挥员通过实战化训练提升获取战场情况、指挥部队行动能力的重要支撑和手段。首先针对当前实兵演习战场态势存在的数据结构、传输机制、系统架构和聚合显示等重点难点问题进行了详细地阐述和分析,然后在此基础上提出了态势数据结构的层次化设计、按需公布订购的数据传输机制、态势框架的柔性化设计和基于作战能力的态势聚合机制等相关的解决方法。以期能够建立一个支持大规模、分布式联合应用,并且可以显示综合战场态势和专用战场态势的战场态势系统。     

Convolutions and generalization of logconcavity: Implications and applications

Additive convolution of unimodal and α‐unimodal random variables are known as an old classic problem which has attracted the attention of many authors in theory and applied fields. Another type of convolution, called multiplicative convolution, is rather younger. In this article, we first focus on this newer concept and obtain several useful results in which the most important ones is that if is logconcave then so are and for some suitable increasing functions ?. This result contains and as two more important special cases. Furthermore, one table including more applied distributions comparing logconcavity of f(x) and and two comprehensive implications charts are provided. Then, these fundamental results are applied to aging properties, existence of moments and several kinds of ordered random variables. Multiplicative strong unimodality in the discrete case is also introduced and its properties are investigated. In the second part of the article, some refinements are made for additive convolutions. A remaining open problem is completed and a conjecture concerning convolution of discrete α‐unimodal distributions is settled. Then, we shall show that an existing result regarding convolution of symmetric discrete unimodal distributions is not correct and an easy alternative proof is presented. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 109–123, 2016     

基于内外子区域划分的高阶精度CFD程序异构并行算法

对计算流体力学(CFD)程序CNS提出一种Offload模式下基于内外子区域划分的异构并行算法,结合结构化网格下有限差分计算和四阶龙格库塔方法的特点,引入ghost网格点区域,设计了一种ghost区域收缩计算策略,显著降低了异构计算资源之间的数据传输开销,负载均衡时CPU端的计算与MPI通信完全和加速器端的计算重叠,提高了异构协同并行性。推导了保证计算正确性的ghost区域的参数,分析了负载均衡的条件。在“CPU(Intel Haswell Xeon E5-2670 12 cores ×2)＋加速器(Xeon Phi 7120A ×2)”的服务器上测得该算法较直接将任务子块整体迁至加速器端计算的异构算法性能平均提升5.9倍,较MPI/OpenMP两级并行算法使用24个纯CPU核的性能,该算法使用单加速器时加速1.27倍,使用双加速器加速1.45倍。讨论和分析了性能瓶颈与存在的问题。     

军事行政区主轴线空间节点秩序构建

结合营区规划实例,以军事行政区主轴线为研究对象,在分析现阶段军事行政区主轴线空间节点设计中比较集中存在的几个问题基础上,提出了构建军事行政区主轴线空间节点秩序及应遵循的一般原则,并以常见的入口区—广场区—办公区—训练区的轴线构成为例,对军事行政区主轴线各空间节点的秩序构建进行了空间、尺度及人性化等设计方法的探讨,为推动营区规划的正规化、现代化建设提供一些思路和方法。     

一类偶数阶非线性中立型偏微分方程组的振动判据

讨论一类偶数阶非线性中立型偏微分方程组的振动性,利用Green公式和边值条件将这类非线性中立型偏微分方程组的振动问题转化为中立型微分不等式不存在最终正解的问题,并利用最终正解的定义和微分不等式方法,获得了该类方程组在两类不同边值条件下所有解振动的若干充分性条件。所得结果为解决物理学、生物学、工程学等学科领域中的实际问题提供了数学理论基础。