基于BER和CTMC的航天器发射组织过程可靠度模型

在航天器发射工程中,存在组织过程可靠性评估难以量化的问题。基于航天器发射组织过程的时间特性呈现多个子过程并发执行且子过程具有Markov性和齐次性的特点,使用连续时间Markov链(CTMC)建立多吸收态的组织过程可靠度模型,利用互模拟等价关系(BER)简化组织过程的状态空间,并进一步给出各种状态转移率和组织过程可靠度计算方法。最后,通过数据分析说明模型在航天器发射工程进度计划评估中的作用和意义。     

运动模糊图像的运动模糊方向鉴别

曝光瞬间造成图像模糊的运动通常作为直线运动近似处理,若能找出模糊图像的运动模糊方向,并将之旋转到水平轴,则二维问题可简化为一维来处理,大大简化由模糊图像估计出运动模糊点扩散函数以及图像恢复的过程,并为图像恢复的并行计算创造有利条件。由于运动模糊降低了运动方向上图像的高频成分,沿着运动方向实施高通滤波(方向微分),可保证微分图像灰度值(绝对值)之和最小。基于此,本文利用双线性插值的方法,固定并适当选取方向微分的微元大小,构造出3×3方向微分乘子,得到了高效高精度的自动鉴别运动模糊方向的新方法,并通过数值实验进行了验证。     

多层弹道导弹防御体系射击策略研究

主要利用离散马尔可夫链(DTMC)对多层弹道导弹防御系统反导作战射击策略问题进行了研究.定义了多层弹道导弹防御体系防御层识别矩阵、拦截矩阵、综合防御能力矩阵等描述多层弹道导弹防御体系防御层作战能力的相关概念,建立了多层弹道导弹防御体系的DTMC模型.在此基础上,应用多层弹道导弹防御体系的DTMC模型对多层弹道导弹防御体系射击策略对作战效能的影响进行了预测分析,最后应用实例验证了模型的有效性及实用性.研究结果可为制定多层弹道导弹防御体系射击策略问题提供决策依据.     

Force chains based mesoscale simulation on the dynamic response of Al-PTFE granular composites

Force chains based mesoscale simulation is conducted to investigate the response behavior of aluminum-polytetrafluoroethylene (Al-PTFE) granular composites under a low-velocity impact. A two-dimensional model followed the randomly normal distribution of real Al particles size is developed. The dynamic compressive process of Al-PTFE composites with varied Al mass fraction is simulated and validated against the experiments. The results indicate that, force chains behavior governed by the number and the size of agglomerated Al particles, significantly affects the impact response of the material. The failure mode of the material evolves from shear failure of matrix to debonding failure of particles with increasing density. A high crack area of the material is critical mechanism to arouse the initiation re-action. The damage maintained by force chains during large plastic strain builds up more local stresses concentration to enhance a possible reaction performance. In addition, simulation is performed with identical mass fraction but various Al size distribution to explore the effects of size centralization and dispersion on the mechanical properties of materials. It is found that smaller sized Al particle of com-posites are more preferred than its bulky material in ultimate strength. Increasing dispersed degree is facilitated to create stable force chains in samples with comparable particle number. The simulation studies provide further insights into the plastic deformation, failure mechanism, and possible energy release capacity for Al-PTFE composites, which is helpful for further design and application of reactive materials.     

基于马尔可夫预测的低消耗弹药库存仿真建模分析

应用马尔可夫方法的无后效性原理,建立了低消耗弹药库存的预测模型,为该类弹药的年度供应提供依据。在模型建立的基础上,对其仿真算法进行了描述,并应用计算机进行了仿真实现。     

On parallel machine replacement problems with general replacement cost functions and stochastic deterioration

The parallel machine replacement problem consists of finding a minimum cost replacement policy for a finite population of economically interdependent machines. In this paper, we formulate a stochastic version of the problem and analyze the structure of optimal policies under general classes of replacement cost functions. We prove that for problems with arbitrary cost functions, there can be optimal policies where a machine is replaced only if all machines in worse states are replaced (Worse Cluster Replacement Rule). We then show that, for problems with replacement cost functions exhibiting nonincreasing marginal costs, there are optimal policies such that, in any stage, machines in the same state are either all kept or all replaced (No‐Splitting Rule). We also present an example that shows that economies of scale in replacement costs do not guarantee optimal policies that satisfy the No‐Splitting Rule. These results lead to the fundamental insight that replacement decisions are driven by marginal costs, and not by economies of scale as suggested in the literature. Finally, we describe how the optimal policy structure, i.e., the No‐Splitting and Worse Cluster Replacement Rules, can be used to reduce the computational effort required to obtain optimal replacement policies. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005     

Bayesian analysis of queues with impatient customers: Applications to call centers

Queuing models have been extensively used in the literature for obtaining performance measures and developing staffing policies. However, most of this work has been from a pure probabilistic point of view and has not addressed issues of statistical inference. In this article, we consider Bayesian queuing models with impatient customers with particular emphasis on call center operations and discuss further extensions. We develop the details of Bayesian inference for queues with abandonment such as the M/M/s + M model (Erlang‐A). In doing so, we discuss the estimation of operating characteristics and its implications on staffing. We illustrate the implementation of the Bayesian models using actual arrival, service, and abandonment data from call centers. © 2012 Wiley Periodicals, Inc. Naval Research Logistics, 2012     

基于马尔可夫过程的介电函数理论研究

基于马尔可夫过程,研究电介质分别在阶跃电场、方波电场和交变电场条件下的极化过程,并给出了介电函数的一般表达式．     

基于马尔可夫过程的武器系统相关失效分析

利用马尔可夫过程分别对共因失效和载荷共享失效两种相关失效的系统平均失效时间进行了建模分析。针对同时出现两种相关失效的武器系统进行了实例分析,并将结果和不考虑相关失效时的计算结果进行了对比,对相关失效分析在可靠性分析和评价中的重要作用进行了阐述。     

动态武器目标分配问题的马尔可夫性

动态武器目标分配(weapon target assignment,WTA)问题是军事运筹学研究的重要理论问题,也是作战指挥决策中迫切需要解决的现实问题。在对动态WTA问题进行描述分析的基础上,运用随机过程理论证明了动态WTA过程的马尔可夫性;给出了该马尔可夫决策过程的状态转移概率的解析表达式,并对其状态特点进行了简要分析。研究结果可以为动态WTA及相关问题的研究提供理论和方法依据。