Integrating decisions with advance supply information in an assemble-to-order system

We study a periodic-review assemble-to-order (ATO) system with multiple components and multiple products, in which the inventory replenishment for each component follows an independent base-stock policy and stochastic product demands are satisfied according to a First-Come-First-Served rule. We assume that the replenishment for various component suffers from lead time uncertainty. However, the decision maker has the so-called advance supply information (ASI) associated with the lead times and thus can take advantage of the information for system optimization. We propose a multistage stochastic integer program that incorporates ASI to address the joint optimization of inventory replenishment and component allocation. The optimal base-stock policy for the inventory replenishment is determined using the sample average approximation algorithm. Also, we provide a modified order-based component allocation (MOBCA) heuristic for the component allocation. We additionally consider a special case of the variable lead times where the resulting two-stage stochastic programming model can be characterized as a single-scenario case of the proposed multistage model. We carry out extensive computational studies to quantify the benefits of integrating ASI into joint optimization and to explore the possibility of employing the two-stage model as a relatively efficient approximation scheme for the multistage model.     

Application of Markov renewal theory and semi-Markov decision processes in maintenance modeling and optimization of multi-unit systems

In this paper, a condition-based maintenance model for a multi-unit production system is proposed and analyzed using Markov renewal theory. The units of the system are subject to gradual deterioration, and the gradual deterioration process of each unit is described by a three-state continuous time homogeneous Markov chain with two working states and a failure state. The production rate of the system is influenced by the deterioration process and the demand is constant. The states of the units are observable through regular inspections and the decision to perform maintenance depends on the number of units in each state. The objective is to obtain the steady-state characteristics and the formula for the long-run average cost for the controlled system. The optimal policy is obtained using a dynamic programming algorithm. The result is validated using a semi-Markov decision process formulation and the policy iteration algorithm. Moreover, an analytical expression is obtained for the calculation of the mean time to initiate maintenance using the first passage time theory.     

Numerical investigation of dynamic interaction with projectile and harmonic behaviour for T-finned machine gun barrels

Machine gun barrels differ from their rifle counterparts in terms of profile. To support high rates of sustained fire, machine gun barrels are made thicker in order to dissipate more heat and maintain their flexural rigidity and thus accuracy, but on other hand they also contribute in weight addition to weapon. This investigation deals with comparison between a conventional machine gun barrel and an improved innovative design having T-fins, both having same weight and chambered in 5.56 × 45 NATO ammunition, to compare their structural and harmonic characteristics which were parameterized by factors such as modal spectrum, directional deformation at muzzle ends during a single shot fire and harmonic behaviour at corresponding range of exciting frequencies. The solid models of both the barrels having same weight, were created using Solidworks. The continuous input data functions were generated by MATLAB using the field tested discreet data points. The generated velocity-distance functions were converted into time dependent functions using integration algorithms to calculate transient parameters such as time steps, excitation frequency range, angle of rotation of projectile and its angular velocity. The dynamic condition simulated the varying nature of forces due to eccentricity in projectile and this data was fed to a time step study using ANSYS transient structural work bench followed by modal and harmonic analysis. The results showed a significant reduction in muzzle end deformation which thus proved that the T-finned barrel, although had same weight as that of the conventional one, but had better structural and harmonic characteristics, and hence it would inherit better firing accuracy.     

四支板超声速引射器性能特性试验

对二维喷管构型的四支板超声速引射器进行冷流试验,分析启动、负载匹配方面的性能特性。试验结果表明:启动特性方面,四支板超声速引射系统的盲腔压力低于3 kPa,引射器入口腔压的迟滞压力比启动压力低15.9%。负载匹配特性方面,四支板引射器在小引射系数、大增压比状态下具有十分明显的优势,当引射系数为0.04时,增压比为11.21;当引射系数为0.10时,增压比为7.0。因此,二维喷管构型的多支板超声速引射器具有良好的启动、负载匹配性能,工程应用潜力较大。     

Optimal allocation of minimal repairs in parallel and series systems

In reliability engineering, the concept of minimal repair describes that the repair brings the failed unit (eg, system or component) to the situation which is same as it was just before the failure. With the help of the well‐known Gamma‐Poisson relationship, this paper investigates optimal allocation strategies of minimal repairs for parallel and series systems through implementing stochastic comparisons of various allocation policies in terms of the hazard rate, the reversed hazard rate, and the likelihood ratio orderings. Numerical examples are presented to illustrate these findings as well. These results not only strengthen and generalize some known ones in the seminal work of Shaked and Shanthikumar, but also solve the open problems proposed by Chahkandi et al.'s study and Arriaza et al.'s study.     

适用于北斗混合星座的相对定位随机模型建模策略

为提高模糊度解算成功率和基线解精度,提出适用于北斗的相对定位随机模型建模策略,即混合随机建模策略。采用最小二乘方差分量估计方法对北斗单差观测量方差进行估计。对处于不同高度的三轨道卫星观测量方差分别建模:对地球静止轨道卫星观测量方差采用载噪比模型建模,对倾斜地球同步轨道卫星和中地球轨道卫星观测量方差均采用仰角模型建模。根据不同模型实时组建观测量的随机模型。试验结果表明:相比于采用传统简化模型和单一的仰角或载噪比模型,混合随机模型能更加真实地反映不同卫星观测量的随机噪声特性,模糊度解算成功率和相对定位精度均有提高,总体性能最优,因而能更好地适用于北斗系统。     

阵列雷达自适应多零点单脉冲群目标测角算法

针对阵列体制雷达,由极大似然估计导出自适应多零点单脉冲测角原理。分析发现迭代步长过大导致双零点单脉冲技术在多目标条件下失效,因此提出加权步长改进角度估计的迭代过程,只需要较少计算量就能实现群内多个目标的精确测角。仿真结果表明：该算法在较高信噪比条件下可以精确测量群内三个目标角度,测角误差约为0.15倍波束宽度;当群目标数较多或者目标相位差接近于0时,算法性能下降明显。     

基于混沌振子列的微弱舰船轴频电磁场信号频率检测

针对远程探测频率未知的舰船轴频电磁场这一难题,提出了一种基于混沌振子列的微弱信号频率检测方法,通过该方法能有效地将强复杂背景噪声下的微弱轴频电磁场的频率检测出来.然后,讨论了不同阻尼比对系统性能的影响,并通过对比分析得出最优阻尼比.最后,用该方法对舰船轴频电磁场信号进行处理,结果证明了该方法的有效性.     

一类非正态误差下的AR模型定阶研究

对一类非正态误差的AR模型,在待定阶数P的情况下,给出误差项中未知实函数依概率有界的定理,可把非正态误差转化为正态情况。最后运用正态误差下AR模型的方法确定阶数和参数,并给出一个算例。     

基于随机Petri网的装甲车辆综合电子系统可靠性研究

由于装甲车辆综合电子系统具有耦合性强、动态离散和复杂度高的特点,其难以采用静态故障树方法进行系统可靠性分析,针对这一难题,运用动态故障树方法对系统可靠性进行了分析判别,并运用随机Petri网建立了故障树的仿真模型。以某型车辆为例,通过仿真实验得出了综合电子系统的故障率和可用度指标的动态变化曲线,其分析结果为系统可靠性与测试性设计提供了理论参考。