Inventory policies with quantized ordering

This article studies (nQ, r) inventory policies, under which the order quantity is restricted to be an integer multiple of a base lot size Q. Both Q and r are decision variables. Assuming the one-period expected holding and backorder cost function is unimodal, we develop an efficient algorithm to compute the optimal Q and r. The algorithm is facilitated by simple observations about the cost function and by tight upper bounds on the optimal Q. The total number of elementary operations required by the algorithm is linear in these upper bounds. By using the algorithm, we compare the performance of the optimal (nQ, r) policy with that of the optimal (s, S) policy through a numerical study, and our results show that the difference between them is small. Further analysis of the model shows that the cost performance of an (nQ, r) policy is insensitive to the choice of Q. These results establish that (nQ, r) models are potentially useful in many settings where quantized ordering is beneficial.     

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。     

原始变量守恒形式控制方程的时间准确性分析

基于压力、速度和温度的原始变量为自变量的守恒形式的控制方程可应用于定常流动问题,但是在求解非定常问题,例如某一典型激波管问题时,激波后温度出现过冲现象,即使通过细化网格、提高空间格式精度或者换用其他通量格式仍不能消除,这表明误差可能来自该方法本身。采用一维Euler方程对该方法进行数值分析。分析结果表明,数值误差来自时间项。通过构造相应的双时间步方程,虚拟时间项采用原始变量,而物理时间项采用守恒变量,并在两个相邻物理时间步内作为定常问题求解,可以收敛到相应的守恒形式,消除上述误差,得到准确的非定常数值解。     

电磁发射用脉冲电抗器应力分析及结构设计

基于对电磁力以及热应力的解析计算公式的推导,运用ANSYS有限元仿真软件对固定电抗器顶底端面情况下的铜箔进行电磁-温度-结构耦合分析,分别得出热应力及所受总应力与应变的分布情况。进一步对电抗器的结构进行优化,综合考虑其结构强度要求与连发温度要求,确定电抗器的最优设计结构,最终通过试验验证出仿真与设计方案真实可信。     

高超声速伸缩翼变形飞行器轨迹多目标优化

针对高超声速条件下变形技术的应用模式,对具有伸缩翼的组合式飞行器滑翔弹道进行了多目标优化研究。介绍了伸缩翼的变形模式,给出了不同变形状态下的气动特性;建立了三自由度滑翔轨迹动力学模型和伸缩翼前缘热流计算模型;采用MOEA/D多目标优化算法,以变形条件和飞行攻角为设计变量、以最大射程和最小翼前缘总吸热量为目标函数,进行了多目标优化计算。优化结果表明,MOEA/D计算得到了相对均匀分布的Pareto最优解集,将伸缩翼外形与无变形外形相比,飞行器滑翔段射程得到了显著提高,同时伸缩翼前缘总吸热量有明显的降低。     

北斗卫星导航系统多进制LDPC编码性能评估

考虑到卫星导航系统传输距离远、落地信号功率低,导航接收机在复杂遮挡环境下可能受到干扰不能正常解调电文,导航电文设计中一般采用纠错编码获取编码增益来提升恶劣环境下的解调性能。随着技术水平的提高,各大系统在现代化升级过程中越来越多地采用性能更优的纠错编码,北斗全球系统现代化信号导航电文将采用多进制LDPC编码。在研究多进制LDPC编译码原理基础上,首次对北斗采用的64进制LDPC进行了软件仿真和硬件实现,对北斗卫星导航系统多进制LDPC编译码性能和实现复杂度进行了仿真分析和试验平台测试,结果表明,多进制LDPC编码方案具有较高的编码增益,相对二进制LDPC有0.4~0.8 dB的优势,对于恶劣环境下的解调性能具有较大改善,该研究可为北斗现代化信号接收终端研发提供参考。     

装备剩余寿命预测平行仿真中模型动态演化方法

装备平行仿真中的一个重要概念是实时数据驱动的模型动态演化,但是至今仍缺乏具体应用领域的实现方法。以带未知离散冲击的混合退化装备剩余寿命预测为背景,以多态Wiener状态空间模型为演化对象,提出一种装备平行仿真中模型动态演化方法,包括基于交互多模型强跟踪滤波的模型软切换和基于期望最大化算法的模型参数在线估计,并实现了基于平行仿真的装备剩余寿命实时预测。利用某轴承退化数据进行实例研究,结果表明该方法能有效提高仿真逼真度,剩余寿命预测的准确度较高、不确定性较小,具有较高工程应用价值。     

Energy‐efficient scheduling for sustainable manufacturing systems with renewable energy resources

Environmentally friendly energy resources open a new opportunity to tackle the problem of energy security and climate change arising from wide use of fossil fuels. This paper focuses on optimizing the allocation of the energy generated by the renewable energy system to minimize the total electricity cost for sustainable manufacturing systems under time‐of‐use tariff by clipping the peak demand. A rolling horizon approach is adopted to handle the uncertainty caused by the weather change. A nonlinear mathematical programming model is established for each decision epoch based on the predicted energy generation and the probability distribution of power demand in the manufacturing plant. The objective function of the model is shown to be convex, Lipchitz‐continuous, and subdifferentiable. A generalized benders decomposition method based on the primal‐dual subgradient descent algorithm is proposed to solve the model. A series of numerical experiments is conducted to show the effectiveness of the solution approach and the significant benefits of using the renewable energy resources.     

Interdiction models for delaying adversarial attacks against critical information technology infrastructure

Information technology (IT) infrastructure relies on a globalized supply chain that is vulnerable to numerous risks from adversarial attacks. It is important to protect IT infrastructure from these dynamic, persistent risks by delaying adversarial exploits. In this paper, we propose max‐min interdiction models for critical infrastructure protection that prioritizes cost‐effective security mitigations to maximally delay adversarial attacks. We consider attacks originating from multiple adversaries, each of which aims to find a “critical path” through the attack surface to complete the corresponding attack as soon as possible. Decision‐makers can deploy mitigations to delay attack exploits, however, mitigation effectiveness is sometimes uncertain. We propose a stochastic model variant to address this uncertainty by incorporating random delay times. The proposed models can be reformulated as a nested max‐max problem using dualization. We propose a Lagrangian heuristic approach that decomposes the max‐max problem into a number of smaller subproblems, and updates upper and lower bounds to the original problem via subgradient optimization. We evaluate the perfect information solution value as an alternative method for updating the upper bound. Computational results demonstrate that the Lagrangian heuristic identifies near‐optimal solutions efficiently, which outperforms a general purpose mixed‐integer programming solver on medium and large instances.