逐步Ⅰ型混合截尾试验下Burr部件的可靠性分析

在逐步Ⅰ型混合截尾试验下,研究了Burr部件寿命参数及可靠性指标的极大似然估计和Bayes估计.利用简单迭代方法,给出了寿命参数和可靠性指标的极大似然估计的数值解.然后利用Lindely Bayes近似算法得到了平方损失下寿命参数以及可靠性指标的Bayes估计.最后,运用Monte-Carlo方法对各估计结果作了模拟比较,结果表明Bayes估计较极大似然估计的误差小.     

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.     

收发合置情况下海底混响仿真

为了实现收发合置情况下海底混响时间序列仿真,提出了一种混合模型方法。该方法将点散射模型方法与单元散射模型方法混合使用,既能够克服单元散射模型方法中高斯分布假设带来的计算误差,又能够克服点散射模型方法计算复杂的问题。针对窄带发射信号,为了便于计算,设计了一种适用于任意采样率的基于复包络的混响信号仿真方法。最后,通过仿真试验证实了仿真方法的有效性。     

粘-弹层合板的阻尼振动和横向应力

应用混合分层理论在板的厚度方向取二次插值函数描述每个数值层内位移沿厚度方向的变化规律,采用三次和四次插值函数描述横向应力沿厚度方向的变化,推导出粘-弹层合板的动力学方程,并得出简支粘-弹层合板自由阻尼振动的解.数值结果不仅与三维结果吻合较好,且能够计算合理协调的横向应力.     

基于定点DSP的计算阶次跟踪研究

对于转速变化的旋转机械,常规的频谱分析方法不能反映其振动信号的真实状态;同时,在转速变化剧烈的情况下,传统阶次分析仪器采用的转速脉冲到达时刻测量方法精度不高。针对以上问题,采用基于定点DSP的计算阶次跟踪方法,通过TMS320C5402定时器的精确计时功能实现高精度转速脉冲到达时刻的测量,同时利用DSP的McBSP(Multi-channel Buffered Serial Port,多通道缓冲串行口)同步采集振动信号,实现混合信号的采集和处理,完成基于DSP的实时阶次跟踪,并通过变速箱启动的实例验证了算法的有效性。     

On scheduling a single machine to minimize a piecewise linear objective function: A compact MIP formulation

We study the scheduling situation in which a set of jobs subjected to release dates and deadlines are to be performed on a single machine. The objective is to minimize a piecewise linear objective function ∑_jF_j where F_j(C_j) corresponds to the cost of the completion of job j at time C_j. This class of function is very large and thus interesting both from a theoretical and practical point of view: It can be used to model total (weighted) completion time, total (weighted) tardiness, earliness and tardiness, etc. We introduce a new Mixed Integer Program (MIP) based on time interval decomposition. Our MIP is closely related to the well‐known time‐indexed MIP formulation but uses much less variables and constraints. Experiments on academic benchmarks as well as on real‐life industrial problems show that our generic MIP formulation is efficient. © 2009 Wiley Periodicals, Inc. Naval Research Logistics, 2009     

中国与西方民主社会主义国家的混合经济体制比较

混合经济体制在科学社会主义的中国与民主社会主义的西方世界同时存在,并且都发挥了积极的作用。但是,学者们对混合经济体制的认识却存在较大差异,进而导致了论证上的分歧,文章在论述上将采取在国家意志层面上的混合经济体制概念内涵。通过对两种混合经济体制从所处的文明发展阶段、国家的指导思想、发生学、组成成分的功能以及目标趋向等层面进行比较分析,改变传统对混合经济体制研究中对两者在政治哲学、历史哲学等方面的不足。两种混合经济体制的相似点关涉到混合经济体制模式未来发展和对二者关系的认识问题,而传统对此研究的认识论基础主要是一分为二的矛盾分析法,故而在思想认识产生了上一些问题,文章将采用“一分为三”的方法论对此进行一些尝试。     

多输出模型确认中的混合矩指标

在不确定性条件下,同时考虑到多维输出之间的相关关系和单输出的均值,构建由多输出数学期望列阵和协方差矩阵组成的多输出模型确认局部混合矩指标和全局混合矩指标。其中局部混合矩指标包括绝对指标(LA-3M)和相对指标(LR-3M),它们适合单点位置的多输出局部模型确认;全局混合矩指标也包括绝对指标(GA-3M)和相对指标(GR-3M),它们适合多点位置的多输出全局模型确认。通过数字算例和工程算例,所提指标可行有效,能够方便地度量计算模型和物理实验之间的差异程度。     

面向AL的战略级仓库备件供应优化方法

针对维修备件供应保障费用较高、管理难度较大等问题,借助自主式保障(AL)理念设计了面向AL的维修备件调度与供应优化框架,提出面向AL的战略级仓库维修备件供应优化思路。在此基础上,为了解决战略级仓库备件供应路线规划不科学、弥补半定量经验方法不足的情况,建立了带混合时间窗的多供应地——多需求地维修备件供应路线优化模型,设计了求解模型的GA-SA混合算法。最后运用算例进行了说明。     

Single‐commodity stochastic network design under demand and topological uncertainties with insufficient data

Stochastic network design is fundamental to transportation and logistic problems in practice, yet faces new modeling and computational challenges resulted from heterogeneous sources of uncertainties and their unknown distributions given limited data. In this article, we design arcs in a network to optimize the cost of single‐commodity flows under random demand and arc disruptions. We minimize the network design cost plus cost associated with network performance under uncertainty evaluated by two schemes. The first scheme restricts demand and arc capacities in budgeted uncertainty sets and minimizes the worst‐case cost of supply generation and network flows for any possible realizations. The second scheme generates a finite set of samples from statistical information (e.g., moments) of data and minimizes the expected cost of supplies and flows, for which we bound the worst‐case cost using budgeted uncertainty sets. We develop cutting‐plane algorithms for solving the mixed‐integer nonlinear programming reformulations of the problem under the two schemes. We compare the computational efficacy of different approaches and analyze the results by testing diverse instances of random and real‐world networks. © 2017 Wiley Periodicals, Inc. Naval Research Logistics 64: 154–173, 2017