Variable-step variable-order 3-stage Hermite-Birkhoff-Obrechkoff DDE solver of order 4 to 14

This article presents a solver for delay differential equations (DDEs) called HBO414DDE based on a hybrid variable-step variable-order 3-stage Hermite-Birkhoff-Obrechkoff ODE solver of order 4 to 14. The current version of our method solves DDEs with state dependent, non-vanishing, small, vanishing and asymptotically vanishing delays, except neutral type and initial value DDEs. Delayed values are computed using Hermite interpolation, small delays are dealt with by extrapolation, and discontinuities are located by a bisection method. HBO414DDE was tested on several problems and results were compared with those of known solvers like SYSDEL and the recent Matlab DDE solver ddesd and statistics show that it gives, most of the time, a smaller relative error than the other solvers for the same number of function evaluations.     

一类具有非局部扩散的时滞Lotka-Volterra竞争模型的行波解

本文研究一类具有非局部扩散的时滞Lotka-Volterra竞争模型{(δ)/(δ)t u1(x,t)=d1 [(J1*u1)(x,t)-u1(x,t)]+r1u1(x,t)[1 - a1u1(x,t)- b1u1(x,t-Τ1)-c1u2(x,t-Τ2)],(δ)/(δ)tu2(x,t)=d2[(J2*u2)(x,t)-u2(x,t)]+r2u2(x,t)[1 - a2u2(x,t)- b2u2(x,t -Τ3)-c2u1(x,t-Τ4)]行波解的存在性问题.通过利用交叉迭代技巧,我们可以把行波解的存在性转化为寻找一对适当的上下解,这篇文章中的结果推广了已有的一些结果.     

空间非局部带时滞的Hosono-Mimura模型的双稳行波解

本文讨论了两个物种的竞争Hosono-Mimura模型.首先,我们考虑了该系统对应的非线性系统平衡点的稳定性;然后,我们证明了空间非局部带时滞的Hosono-Mimura竞争扩散系统有联结两个稳定平衡点的行波解.在证明行波解的存在性时,我们通过变换,把空间非局部的时滞模型转化成了一个四维的非时滞系统来讨论.     

Optimal deteriorating items production inventory models with random machine breakdown and stochastic repair time

This study develops deteriorating items production inventory models with random machine breakdown and stochastic repair time. The model assumes the machine repair time is independent of the machine breakdown rate. The classical optimization technique is used to derive an optimal solution. A numerical example and sensitivity analysis are shown to illustrate the models. The stochastic repair models with uniformly distributed repair time tends to have a larger optimal total cost than the fixed repair time model, however the production up time is less than the fixed repair time model. Production and demand rate are the most sensitive parameters for the optimal production up time, and demand rate is the most sensitive parameter to the optimal total cost for the stochastic model with exponential distribution repair time.     

Practical extensions to a minimum cost flow model for level of repair analysis

The level of repair analysis (LORA) gives answers to three questions that are posed when deciding on how to maintain capital goods: (1) which components to repair upon failure and which to discard, (2) at which locations in the repair network to perform each type of repairs, and (3) at which locations in the network to deploy resources, such as test equipment. The goal is to achieve the lowest possible life cycle costs. Various models exist for the LORA problem. However, they tend to be restrictive in that specific business situations cannot be incorporated, such as having repair equipment with finite capacity or the occurrence of unsuccessful repairs or no-fault-founds. We discuss and model such practically relevant extensions to an existing minimum cost flow formulation for the LORA problem. In an extensive numerical experiment, we show that incorporating the model refinements leads to a substantial change in the costs in general. The repair strategy changes substantially only when incorporating finite resource capacities or a probability of unsuccessful repair that is decreasing with an increasing echelon level.     

高速飞行环境下卫星导航信息滞后补偿方法

为了解决高速飞行环境下卫星导航信息滞后严重影响导航精度和性能的问题,研究了一种基于曲线拟合技术的滞后补偿方法.针对高速飞行环境下导航参数的变化情况,分别采用抛物线和三次抛物线来拟合卫星导航系统的输出信息,推导获得抛物线和三次抛物线的各项系数,进而研究获得卫星导航信息滞后的补偿算法.仿真结果表明,尽管卫星导航输出的滞后时间长达0.8 s,采用该滞后补偿方法可以使捷联惯导/卫星组合导航的水平位置精度达到±0.6”,高度精度达到±18.9 m,速度精度达到士0.15m/s.因此该方法能够有效补偿卫星导航系统的输出滞后,具有良好的工程应用前景.     

Design of different bandwidth dispersive mirrors

Dispersive mirrors in the wavelength range of 960–1110 nm, 700–900 nm, 950–1150 nm, 600–900 nm, 900–1200 nm, 600–1000 nm and 550–1050 nm are designed, respectively. From the design results, we analyse the choice of material and the approach to dispersion compensation. Furthermore, along with the increase of bandwidth, interaction between group delay dispersion (GDD) oscillation and high reflectivity, and influence of bandwidth on both GDD ripple and reflectivity are discussed.     

A novel method for measuring optical fiber delay lines based on the optical fiber low-coherence Young's interferometer

According to the principle of double-beam interference imaging using an infrared broadband light source, a novel method based on the optical fiber low-coherence Young's interferometer for the measurement of programmable optical fiber delay line is proposed. By measuring the small length increments of delay fiber through the evaluation of the central positions of zero-order interference fringes, we successfully construct a system with a variety of important functions, such as real-time controlling, measurement and displaying. This system offers the benefit that it can be regulated precisely to generate interference stripes once again after the length of fiber segment changes. When the locations of central stripes are moved to coincide with the original markers, the determination of the corresponding fiber optical delay time becomes really simplified, as just by reading out the tinny displacement of the reference arm. Multiple groups of experimental results demonstrate the outstanding performance of the proposed system since it bears a measuring accuracy of μm and a measuring range from 1 mm to 20 cm.     

含有本征SiGe层的SiGe异质结双极晶体管集电结耗尽层宽度模型

本文分别建立了含有本征SiGe层的SiGe HBT(异质结双极晶体管)集电结耗尽层各区域的电势、电场分布模型,并在此基础上,建立了集电结耗尽层宽度和延迟时间模型,对该模型进行了模拟仿真,定量地分析了SiGe HBT物理、电学参数对集电结耗尽层宽度和延迟时间的影响,随着基区掺杂浓度和集电结反偏电压的提高,集电结耗尽层延迟时间也随之增大,而随着集电区掺杂浓度的提高和基区Ge组分增加,集电结耗尽层延迟时间随之减小. 关键词： SiGe HBT 集电结耗尽层 延迟时间     

时延耦合自主个体的一致性问题

考察了同时具有通信时延和输入时延的多自主个体的耦合一致性问题.利用频域分析方法,分别得到了一阶和二阶耦合自主个体渐近达到一致的充分条件,该条件与输入时延、通信时延以及控制参数有关.仿真结果证明了结论的正确性. 关键词： 耦合自主个体 输入时延 通信时延 一致性