Dynamic policy for idling time preservation

This study aims to determine and evaluate dynamic idling policies where an agent can idle while some customers remain waiting. This type of policies can be employed in situations where the flow of urgent customers does not allow the agent to spend sufficient time on back-office tasks. We model the system as a single-agent exponential queue with abandonment. The objective is to minimize the system's congestion while ensuring a certain proportion of idling time for the agent. Using a Markov decision process approach, we prove that the optimal policy is a threshold policy according to which the agent should idle above (below) a certain threshold on the queue length if the congestion-related performance measure is concave (convex) with respect to the number of customers present. We subsequently obtain the stationary probabilities, performance measures, and idling time duration, expressed using complex integrals. We show how these integrals can be numerically computed and provide simpler expressions for fast-agent and heavy-traffic asymptotic cases. In practice, the most common way to regulate congestion is to control access to the service by rejecting some customers upon arrival. Our analysis reveals that idling policies allow high levels of idling probability that such rejection policies cannot reach. Furthermore, the greatest benefit of implementing an optimal idling policy occurs when the objective occupation rate is close to 50% in highly congested situations.     

Two novel critical shock models based on Markov renewal processes

In this paper, we investigate systems subject to random shocks that are classified into critical and noncritical categories, and develop two novel critical shock models. Classical extreme shock models and run shock models are special cases of our developed models. The system fails when the total number of critical shocks reaches a predetermined threshold, or when the system stays in an environment that induces critical shocks for a preset threshold time, corresponding to failure mechanisms of the developed two critical shock models respectively. Markov renewal processes are employed to capture the magnitude and interarrival time dependency of environment-induced shocks. Explicit formulas for systems under the two critical shock models are derived, including the reliability function, the mean time to failure and so on. Furthermore, the two critical shock models are extended to the random threshold case and the integrated case where formulas of the reliability indexes of the systems are provided. Finally, a case study of a lithium-ion battery system is conducted to illustrate the proposed models and the obtained results.     

二维周期钢管阵列带隙特性计算中的时域有限差分算法

通过选取合适的离散时间间隔,解决了大密度、弹性常数差界面上时域有限差分(FDTD)算法的不稳定现象。进而采用改进的O(2,4)精度FDTD算法,计算了由空气中二维周期钢管正方阵列组成的晶格常数为103mm的声子晶体的Г Х方向禁带,计算结果与测试结果吻合较好。     

Preservation of stochastic orders for random minima and maxima,with applications

It is shown, in this note, that the right spread order and the increasing convex order are both preserved under the taking of random maxima, and the total time on test transform order and the increasing concave order are preserved under the taking of random minima. Some inequalities and preservation properties in reliability and economics are given as applications. © 2003 Wiley Periodicals, Inc. Naval Research Logistics, 2004.     

潜在故障状态可测的一种故障检查模型

从系统的功能故障状态和潜在故障状态两方面讨论了故障检查模型,基于延迟时间模型推导了系统的期望可用度模型并对其适用性进行了讨论与验证。     

Averaging frameworks for simulation optimization with applications to simulated annealing

We present two frameworks for designing random search methods for discrete simulation optimization. One of our frameworks is very broad (in that it includes many random search methods), whereas the other one considers a special class of random search methods called point‐based methods, that move iteratively between points within the feasible region. Our frameworks involve averaging, in that all decisions that require estimates of the objective function values at various feasible solutions are based on the averages of all observations collected at these solutions so far. Also, the methods are adaptive in that they can use information gathered in previous iterations to decide how simulation effort is expended in the current iteration. We show that the methods within our frameworks are almost surely globally convergent under mild conditions. Thus, the generality of our frameworks and associated convergence guarantees makes the frameworks useful to algorithm developers wishing to design efficient and rigorous procedures for simulation optimization. We also present two variants of the simulated annealing (SA) algorithm and provide their convergence analysis as example application of our point‐based framework. Finally, we provide numerical results that demonstrate the empirical effectiveness of averaging and adaptivity in the context of SA. © 2012 Wiley Periodicals, Inc. Naval Research Logistics, 2012     

舰船航渡过程中的松弛时间与航渡策略问题

针对舰船特点和任务要求,提出了舰船航渡中的松弛时间问题。在对问题分析的基础上,给出了松弛时间的定义并对其进行了建模,讨论了航渡失败的判断准则,给出了松弛时间的上下限以及航渡中实际的松弛时间的计算方法,并采用仿真的方法进行了典型航渡过程的松弛时间和成功概率的计算。在大量计算的基础上,初步探讨了航渡成功概率与各类航渡参数之间的关系,并对舰船最优航渡策略问题进行了初步分析,最后对于优化目标、计算初值、结果的表达方式等提出了一个可行的解决方案。     

北斗系统星载原子钟周期性波动的频谱分析校正方法

在建立卫星导航系统星座自主守时时间基准时,必须消除星载原子钟钟差数据中包含的周期性波动,以免将其引入系统时间。针对这一问题,基于国际卫星导航服务组织(International GNSS Service, IGS)提供的北斗系统星载原子钟钟差产品,提出了一种基于频谱分析的星载原子钟周期性波动校正方法。通过比较校正前后钟差数据的频率稳定度性能差异,确认该方法能够消除由环境因素引起的钟差数据周期性波动。北斗系统各类卫星星载原子钟的性能在校正后都得到了提升。地球同步轨道卫星星载原子钟的万秒频率稳定度提升50%左右,中轨道地球卫星星载原子钟的万秒频率稳定度提升23%左右,倾斜地球同步轨道卫星星载原子钟的万秒频率稳定度提升15%左右。经过校正,北斗二号和北斗三号系统中的星载原子钟普遍达到了地面站铯钟的频率稳定度性能,为完全基于星载原子钟的星座自主守时提供了基础。     

Vondrak-Cepek组合滤波在北斗共视和卫星双向时间比对融合中的应用

为减小卫星双向时间比对(Two-Way Satellite Time and Frequency Transfer, TWSTFT)中的周日效应,利用北斗共视链路没有周日效应的特点,通过Vondrak-Cepek组合滤波方法对中国科学院国家授时中心(National Time Service Center, NTSC)、德国物理技术研究院(Physikalisch-Technische Bundesanstalt, PTB)以及中国计量科学研究院(National Institute of Metrology, NIM)间的北斗共视时间比对结果分别与硬件卫星时间和距离测量设备(SAtellite Time and Ranging Equipment, SATRE) TWSTFT和软件接收机(Software-Defined Radio, SDR)TWSTFT结果进行了融合处理。采用时间偏差和幅值频谱两个指标以及GPS精密单点定位(Precise Point Positioning, PPP)时间比对分别对融合结果进行内外符合评估。结果表明,经过Vondrak-Cepek滤波的融合结果中周日效应基本消失,其与GPS PPP链路差值结果的绝对值保持在链路校准的不确定度范围内。对于长基线NTSC-PTB链路,融合结果1 d的时间偏差稳定度对SATRE和SDR TWSTFT的增益因子分别为1.85和1.81;对于短基线NTSC-NIM链路,融合结果对SATRE和SDR TWSTFT的增益因子分别为1.69和1.59。融合结果的短期稳定度显著提高。     

基于扩张观测器的三维有限时间收敛导引律

为了保证视线角速率在弹目碰撞前收敛到零附近的较小邻域内从而达到准平行接近的状态,本文基于自抗扰控制的不确定性估计补偿思想,应用反演控制方法设计了一种考虑导弹自动驾驶仪二阶动态特性和目标机动的三维有限时间收敛导引律。根据有限时间收敛控制理论,严格证明了系统的有限时间收敛特性;为抑制量测噪声,将传统跟踪微分器进行改进并应用于扩张状态观测器与反演控制的设计中。仿真结果表明:在自动驾驶仪响应延迟情况下,所设计的导引律能够导引导弹在有限时间内精确地拦截高速机动目标;改进的跟踪微分器精度高、响应快;基于改进跟踪微分器的扩张观测器估计效果理想。