The joint signature of coherent systems

We investigate the joint signature of $m$ coherent systems, under the assumption that the components have independent and identically distributed lifetimes. The joint signature, for a particular ordering of failure times, is an $m$‐dimensional matrix depending solely on the composition of the systems and independent of the underlying distribution function of the component lifetimes. The elements of the $m$‐dimensional matrix are formulated based on the joint signatures of numerous series of parallel systems. The number of the joint signatures involved is an exponential function of the number of the minimal cut sets of each original system and may, therefore, be significantly large. We prove that although this number is typically large, a great number of the joint signatures are repeated, or removed by negative signs. We determine the maximum number of different joint signatures based on the number of systems and components. It is independent of the number of the minimal cut sets of each system and is polynomial in the number of components. Moreover, we consider all permutations of failure times and demonstrate that the results for one permutation can be of use for the others. Our theorems are applied to various examples. The main conclusion is that the joint signature can be computed much faster than expected.     

I.I.D.并行分布式检测网相同门限假定的合理性条件

并行分布式检测网最优设计是复杂难解的,相同门限假定使Ｉ．Ｉ．Ｄ．网的设计极度简化,并在实际工程中广泛使用。本文研究了相同门限假定的合理性条件,为合理采用习惯性处理方法提供了理论依据。     

The parallel replacement problem with demand and capital budgeting constraints

A generalized parallel replacement problem is considered with both fixed and variable replacement costs, capital budgeting, and demand constraints. The demand constraints specify that a number of assets, which may vary over time, are required each period over a finite horizon. A deterministic, integer programming formulation is presented as replacement decisions must be integer. However, the linear programming relaxation is shown to have integer extreme points if the economies of scale binary variables are fixed. This allows for the efficient computation of large parallel replacement problems as only a limited number of 0–1 variables are required. Examples are presented to provide insight into replacement rules, such as the “no‐splitting‐rule” from previous research, under various demand scenarios. © 2000 John Wiley & Sons, Inc. Naval Research Logistics 47: 40–56, 2000     

On allocating one active redundancy to coherent systems with dependent and heterogeneous components' lifetimes

This article studies coherent systems of heterogenous and statistically dependent components' lifetimes. We present a sufficient and necessary condition for a stochastically longer system lifetime resulted by allocating a single active redundancy. For exchangeable components' lifetimes, allocating the redundancy to the component with more minimal path sets is proved to produce a more reliable system, and for systems with stochastic arrangement increasing components' lifetimes and symmetric structure with respect to two components, allocating the redundancy to the weaker one brings forth a larger reliability. Several numerical examples are presented to illustrate the theoretical results as well. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 335–345, 2016     

并联系统可靠性分配的模糊层次分析法

综合考虑影响系统可靠性分配的定性因素和定量因素、影响因素的模糊性以及系统的结构组成.利用层次分析法可集定性与定量分析于一体,从而确定出各影响因素对可靠性分配的权重向量;模糊数学理论进而确定出分系统之间可靠性水平的相对比重;进行模糊变换最终进行并联系统的可靠性分配.结合实例分析,对并联系统运用模糊理论和层次分析法相结合的方法进行可靠性分配科学、合理,便于工程应用.     

双正交重叠变换系数基于上下文的算术编码算法

提出了一种双正交重叠变换(LBT)系数基于上下文的算术编码算法.针对二进整数LBT在DSP实现过程中出现的精度和计算复杂度问题,提出了一种适于DSP并行处理的LBT定点实现方法.编码算法包含60种上下文概率模型,熵编码采用MQ编码,并根据并行处理的需要,将MQ编码从位平面扫描过程中分离,根据分离后的结构特点,设计了改进的MQ编码器.并对算法的DSP实现进行了研究.实验结果表明,本压缩算法压缩性能和SPIHT相当,稍逊于JPEG2000,算法容易并行,硬件计算复杂度很低.     

当前成人高等教育存在的问题及对策

成人高等教育在形成学习型社会中有其独特的作用。在成人高等教育的发展过程中,必须正视其所存在的各种各样的问题,并依照我国的国情着力解决,循序渐进。从我国成人高等教育现状入手,分析了其在发展进程中存在的问题及根源,提出了宏观调控;淡化产业化意识;质量评估;突出特色等发展对策。     

商标产品平行进口法律问题探析

平行进口是否合法,是知识产权和国际贸易争论不休的问题。在充分了解国际上商标产品平行进口理论与司法实践的最新发展状况基础上,结合我国的国情提出我国应有的法律对策。     

一般机构的解耦运动

运动解耦的机构容易控制 ,并且可以达到更高的运动精度。然而随着机构学不断发展 ,尤其是并联机构的出现 ,很多机构不具有运动解耦的性质。对于并联机构 ,可以得出结论 ,运动不解耦才是其本质特征。因此有必要研究一般机构实现的简单运动 ,并定义为解耦运动。解耦运动对机构的运动控制和轨迹规划都有一定意义。使用螺旋理论 ,给出了解耦运动的定义、分类 ,及机构存在解耦运动的必要条件和充分特例。最后通过一个二自由度转动机构的设计实例 ,综合了上述概念和方法。     

并联机构的奇异位形分析及冗余驱动控制方法

运用微分几何的方法分析了存在于并联机构中的各种奇异位形。采用冗余驱动方法解决并联机构奇异位形的控制问题。设计并实现了平面二自由度并联实验装置 ,并进行了冗余驱动控制实验