Formulations for dynamic lot sizing with service levels

In this article, we study deterministic dynamic lot‐sizing problems with a service‐level constraint on the total number of periods in which backlogs can occur over a finite planning horizon. We give a natural mixed integer programming formulation for the single item problem (LS‐SL‐I) and study the structure of its solution. We show that an optimal solution to this problem can be found in \begin{align*}\mathcal O(n^2\kappa)\end{align*} time, where n is the planning horizon and \begin{align*}\kappa=\mathcal O(n)\end{align*} is the maximum number of periods in which demand can be backlogged. Using the proposed shortest path algorithms, we develop alternative tight extended formulations for LS‐SL‐I and one of its relaxations, which we refer to as uncapacitated lot sizing with setups for stocks and backlogs. {We show that this relaxation also appears as a substructure in a lot‐sizing problem which limits the total amount of a period's demand met from a later period, across all periods.} We report computational results that compare the natural and extended formulations on multi‐item service‐level constrained instances. © 2013 Wiley Periodicals, Inc. Naval Research Logistics, 2013     

金属射流欧姆加热效应的影响因素分析

为探究影响金属射流欧姆加热效应的因素,在被动电磁装甲系统等效电路模型的基础上,根据虚拟源点理论建立金属射流的作用时间模型,进一步明确金属射流在侵彻被动电磁装甲过程中每部分射流微元的作用时间;结合金属射流的比作用量模型,利用Matlab软件对金属射流的电流和比作用量波形随被动电磁装甲系统的电感、电容、电阻和充电电压的变化规律进行数值分析．仿真结果表明：随着系统电感的减小、电阻的减小、电容的增大和充电电压的增大,金属射流比作用量的峰值增大,有利于射流发生电爆炸．     

Explosion temperature mapping of emulsion explosives containing TiH2 powders with the two-color pyrometer technique

In the study, the two-color pyrometer technique was used to measure the transient temperature field of emulsion explosives with different contents of TiH₂ powders. The experimental results showed that the introduction of TiH₂ powders could significantly increase the explosion temperature and fireball duration of emulsion explosive. When emulsion explosives were ignited, the average explosion temperature of pure emulsion explosive continuously decreased while emulsion explosives added with TiH₂ powders increased at first and then decreased. When the content of TiH₂ powders was 6 mass%, the explosion average temperature reached its maximum value of 3095 K, increasing by 43.7% as compared with that of pure emulsion explosive. In addition, the results of air blast experiment and explosion heat test showed that the variation trends of shock wave parameters, explosion heat and theoretical explosion temperature of emulsion explosives with different contents of TiH₂ powders were basically consistent with that of explosion temperature measured by the two-color pyrometer technique. In conclusion, the two-color pyrometer technique would be conducive to the formula design of emulsion explosive by understanding the explosion temperature characteristics.     

预制缺陷柱壳结构的等效裂纹分析方法

针对传统有限元法在分析预制缺陷柱壳时出现的应力/应变计算精度不足、无法有效指导工程实践的问题,提出了一种具有高冗余度的等效裂纹分析方法。将预制缺陷视作典型裂纹,基于奇异裂纹元法对其进行裂纹稳定性分析,并根据稳定性分析结果来评估预制缺陷柱壳的结构完整性。通过该方法得到的分析结果具有比常规有限元分析更高的可靠性,对于导弹线式爆炸分离装置等工作环境恶劣、风险系数较高的预制缺陷柱壳结构而言,该方法有助于提升其设计的安全裕度,具有一定的工程实用性。     

烟花爆竹及民用爆炸物品建筑工程消防审核验收探讨

结合烟花爆竹、民用爆炸物品的生产、储存火灾危险性,探讨了公安机关消防机构如何对烟花爆竹、民用爆炸物品生产、储存场所进行消防设计审核验收,以起到加强烟花爆竹、民用爆炸物品生产、储存建筑消防安全的目的。     

纵火战斗部爆炸分散仿真研究

在试验的基础上,从炸药对纵火炬的驱动和纵火炬在空中飞散两个方面,对其在战斗部静爆和动态飞行时的爆炸分散进行了仿真研究,研究结果对纵火弹的具体设计具有重要的参考价值。     

爆电换能的理论分析

考虑了铁电介质的介电松弛和电导率松弛,计及冲击波阵面在样品中传播过程的影响,改进了垂直模式冲击波加载铁电陶瓷电响应的理论,且理论分析与实验结果基本一致。     

圆柱形容器爆炸焊接数值模拟与实验

针对深空探测采样容器的特殊要求,进行爆炸焊接严实密封技术研究。利用非线性动力学软件进行铝质柱形容器爆炸焊接数值模拟,得到各种焊接初始参数的影响规律,确定较佳焊接初始参数及容器结构尺寸,并进行实验验证。实验结果表明:外盖角度为7°时,1mm壁厚外盖配4mm壁厚内圆柱或2mm壁厚外盖配6mm壁厚内圆柱,配以较合适炸药厚度,密实焊接效果较理想。研究结果为深空探测采样容器结构设计提供了较好的参考。     

航空自导深弹攻潜命中概率分析

以航空自导深弹为研究对象,在分析反潜直升机攻潜过程的基础上,依据某型航空自导深弹的有关技术参数,首先建立了反潜直升机使用航空自导深弹攻潜模型,然后详尽分析了航空自导深弹攻潜作战中的各种源误差,采用解析法计算了反潜直升机在不同条件下投放航空自导深弹攻击潜艇时的单发命中概率,得出了反潜直升机空投航空自导深弹攻潜的使用方法.这对于部队使用航空自导深弹反潜有较高的参考价值.     

基于旋转点电荷模型的舰船腐蚀电场

为了找出轴频电场无法彻底消除及实际测量中静电场产生波动曲线问题的原因,基于旋转点电荷的建模方法对舰船腐蚀电场进行研究。利用汉克尔变换对点电荷在三层介质中产生的电场进行近似求解,得出一定转速下感应电场随时间、螺旋桨半径及水面距离变化的规律曲线图,并通过实验验证了理论结果的正确性。结果表明:螺旋桨旋转产生的感应电场是构成舰船腐蚀电场的一部分,一定转速下的感应电场频率与螺旋桨转动频率一致,并会随着螺旋桨半径及与水面距离的增加而减小。