Analysis of production lines with Coxian service times and no intermediate buffers

This paper uses the holding time model (HTM) method to derive an approximate analytic formula for the calculation of the mean throughput of a K-station production line with no buffers between any two successive stations. Service times follow the two-stage Coxian (C²) distribution at all stations. The paper provides a formula that relates the third moment of the service completion (or virtual service) time with the respective parameters of the service time, the repair time and the time to breakdown (the latter is assumed to follow the exponential distribution). In this way, it concludes that under certain conditions the two-stage Coxian distribution can be used to approximate any general distribution matching the first three moments of the service completion time distribution. The mean holding times (consisting of the service and blocking periods) of all stations of the line are obtained in an analytical form. Numerical results are provided for the mean throughput of lines with up to 20 stations. These results are shown to have a good accuracy compared against results obtained from the Markovian state method (for short lines) and results from simulation (for longer lines). © 1998 John Wiley & Sons, Inc. Naval Research Logistics 45: 669–685, 1998     

Bolstering components for maximizing system lifetime

This article considers the problem of which component should be “bolstered” or “improved” in order to stochastically maximize the lifetime of a parallel system, series system, or in general, k-out-of-n system. Various ways of bolstering including active redundance, standby redundancy, and burn-in are studied. Also the method of reducing working temperature or stress level according to Arrhenius models is investigated. © 1998 John Wiley & Sons, Inc. Naval Research Logistics 45: 497–509, 1998     

Scheduling stochastic jobs with asymmetric earliness and tardiness penalties

We consider a stochastic counterpart of the well-known earliness-tardiness scheduling problem with a common due date, in which n stochastic jobs are to be processed on a single machine. The processing times of the jobs are independent and normally distributed random variables with known means and known variances that are proportional to the means. The due dates of the jobs are random variables following a common probability distribution. The objective is to minimize the expectation of a weighted combination of the earliness penalty, the tardiness penalty, and the flow-time penalty. One of our main results is that an optimal sequence for the problem must be V-shaped with respect to the mean processing times. Other characterizations of the optimal solution are also established. Two algorithms are proposed, which can generate optimal or near-optimal solutions in pseudopolynomial time. The proposed algorithms are also extended to problems where processing times do not satisfy the assumption in the model above, and are evaluated when processing times follow different probability distributions, including general normal (without the proportional relation between variances and means), uniform, Laplace, and exponential. © 1997 John Wiley & Sons, Inc. Naval Research Logistics 44, 531–557, 1997.     

卫星导航系统中平台运动对天线阵列性能的影响分析

常规的天线阵自适应算法侧重于研究稳态条件下的最优性能.当卫星导航接收机应用于运动载体(如炸弹、飞机、机动车辆、舰艇)时,阵列平台的运动(或振动)将会导致权值"零陷"指向与干扰来向失配.建立了运动条件下的阵列信号模型,将平台运动分为第一类平台运动(高频振动)和第二类平台运动(平稳转动),给出了两类运动模型下阵列输出信干噪...     

Thermal decomposition of ammonium perchlorate catalyzed with CuO nanoparticles

Ammonium perchlorate (APC) is the most common oxidizer in use for solid rocket propulsion systems. However its initial thermal decomposition is an endothermic process that requires 102.5 J·g⁻¹. This manner involves high activation energy and could render high burning rate regime. This study reports on the sustainable fabrication of CuO nanoparticles as a novel catalyzing agent for APC oxidizer. Colloidal CuO nanoparticles with consistent product quality were fabricated by using hydrothermal processing. TEM micrographs demonstrated mono-dispersed particles of 15 nm particle size. XRD diffractogram demonstrated highly crystalline material. The synthesized colloidal CuO particles were effectively coated with APC particles via co-precipitation by using fast-crash solvent–antisolvent technique. The impact of copper oxide particles on APC thermal behavior has been investigated using DSC and TGA techniques. APC demonstrated an initial endothermic decomposition stage at 242 °C with subsequent two exothermic decomposition stages at 297.8 °C and 452.8 °C respectively. At 1 wt%, copper oxide offered decrease in initial endothermic decomposition stage by 30%. The main outcome of this study is that the two main exothermic decomposition peaks were merged into one single peak with an increase in total heat release by 53%. These novel features can inherit copper oxide particles unique catalyzing ability for advanced highly energetic systems.     

空间应用载荷的天地端到端IP隧道协议通信架构设计

在地面运控子网和载荷信息网中设计IPsec、GRE或RFC2003三种IP隧道协议,通过平台信息网和天地测控网,封装的用户数据包能在天地通信链路中路由,以支持在轨载荷和地面运控终端之间端到端的灵活通信。设计支持IP隧道协议通信的天地一体化信息网络架构,给出各级路由器的设置和网段IP地址分配,计算和分析出三种IP隧道协议的通信效率与实时性。分析结果表明,采用IP隧道协议对改变传统地面运控模式、提高运控效率具有重要意义。     

A worst‐case formulation for constrained ranking and selection with input uncertainty

In this research, we consider robust simulation optimization with stochastic constraints. In particular, we focus on the ranking and selection problem in which the computing time is sufficient to evaluate all the designs (solutions) under consideration. Given a fixed simulation budget, we aim at maximizing the probability of correct selection (PCS) for the best feasible design, where the objective and constraint measures are assessed by their worst‐case performances. To simplify the complexity of PCS, we develop an approximated probability measure and derive the asymptotic optimality condition (optimality condition as the simulation budget goes to infinity) of the resulting problem. A sequential selection procedure is then designed within the optimal computing budget allocation framework. The high efficiency of the proposed procedure is tested via a number of numerical examples. In addition, we provide some useful insights into the efficiency of a budget allocation procedure.     

系统复杂性及度量

复杂性是科学技术面临的挑战之一,研究系统复杂性有着重要意义。综述系统复杂性基本语义研究背景,分析国内外历史上对复杂性的界定及不同定义;针对复杂性的分类,以本体论和认识论分类为基本框架,吸纳最新的复杂性分类定义成果,重新对复杂性进行归类。在此基础上,对复杂性的度量指标进行分类阐述,对相应的数学工具进行归类说明。设计案例说明了复杂性概念分类及度量的有效性。     

On the conditional residual lifetime of coherent systems under double regularly checking

In this paper, we consider a coherent system with n independent and identically distributed components under the condition that the system is monitored at time instances t₁ and t₂ (t₁ < t₂). First, various mixture representations for reliability function of the conditional residual lifetime of the coherent system are derived under different scenarios at times t₁ and t₂ (t₁ < t₂). Several stochastic comparisons between two systems are also made based on the proposed conditional random variables. Then, we consider the conditional residual lifetime of the functioning components of the system given that j components have failed at time t₁ and the system has failed at time t₂. Some stochastic comparisons on the proposed conditional residual lifetimes are investigated. Several illustrative graphs and examples are also provided.     

采用随机几何工具的终端直通通信接入控制方法

针对现有具备终端直通（Device-to-Device, D2D）功能的蜂窝网络的干扰管理问题,提出一种新型的采用随机几何工具的D2D通信接入控制方法。利用随机过程理论以及随机几何工具建立模型分析邻近基站和D2D通信对蜂窝通信的影响,并推导蜂窝业务接入失败概率表达式。基于该表达式能够计算网络允许的最大D2D用户密度,辅助D2D通信接入控制实现干扰管理。仿真证明基于所提数值计算方法获得的估计结果与蒙特卡洛仿真结果相符,且通过合理限制D2D用户密度和D2D用户发射功率可满足指定的蜂窝业务接入失败概率要求。