Performance evaluation of a production/inventory system with periodic review and endogenous lead times

This paper considers a discrete time, single item production/inventory system with random period demands. Inventory levels are reviewed periodically and managed using a base‐stock policy. Replenishment orders are placed with the production system which is capacitated in the sense that there is a single server that sequentially processes the items one at a time with stochastic unit processing times. In this setting the variability in demand determines the arrival pattern of production orders at the queue, influencing supply lead times. In addition, the inventory behavior is impacted by the correlation between demand and lead times: a large demand size corresponds to a long lead time, depleting the inventory longer. The contribution of this paper is threefold. First, we present an exact procedure based on matrix‐analytic techniques for computing the replenishment lead time distribution given an arbitrary discrete demand distribution. Second, we numerically characterize the distribution of inventory levels, and various other performance measures such as fill rate, base‐stock levels and optimal safety stocks, taking the correlation between demand and lead times into account. Third, we develop an algorithm to fit the first two moments of the demand and service time distribution to a discrete phase‐type distribution with a minimal number of phases. This provides a practical tool to analyze the effect of demand variability, as measured by its coefficient of variation, on system performance. We also show that our model is more appropriate than some existing models of capacitated systems in discrete time. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

多指标下的炮兵火力最优分配

为了提高炮兵火力打击效能,提出了小生境遗传算法与模糊多目标决策相结合的混合算法,建立了多指标下的炮兵火力分配模型,并阐述了混合算法设计,给出了应用举例,结果表明,与传统的单指标下的炮兵火力最优分配相比,该方法更符合战场实际情况。     

Tests for homogeneity of distributions of component lifetimes from system lifetime data with known system signatures

In this article, we discuss the problem of testing the homogeneity of distributions of component lifetimes based on system lifetime data when the system signatures are known. Both parametric and nonparametric procedures are developed for this problem. For nonparametric testing, the Mann–Whitney‐type statistic is used, and its performance and limitations are discussed. Next, we assume the component lifetimes to follow exponential distributions and then develop different parametric tests. Exact and asymptotic methods are developed based on the method of moments estimators. A Monte Carlo simulation study is used to compare the performance of different parametric procedures with that of the nonparametric procedure. Based on the results of the simulation study, discussions and practical recommendations are made and finally some concluding remarks are provided. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 550–563, 2015     

基于截尾正态分布的最大值指标精度换算方法

提出了基于截尾正态分布的最大值指标精度换算方法,为最大值指标与常用精度指标间的精度换算,以及真值测量系统精度指标的确定提供了参考依据。该方法假设系统输出序列中各观测点的合格概率服从对数截尾正态分布;根据给定最大值指标的置信水平及序列样本量,证明并推导了截尾正态分布之截尾上限、截尾下限、均值及标准偏差的计算公式,导出了最大值精度指标与 等常用精度指标间的换算关系,最后结合精密仪器有关理论给出了最大值指标下真值测量系统精度指标的确定方法。实例应用的实验结果表明,该方法是可行的。     

飞机系统安全性指标的Petri Net分配方法

为解决动态故障树抽象而不利于交流的问题,利用Petri Net直观、易用且适用范围广的优点,提出基于Petri Net的飞机系统安全性指标分配方法。通过整理安全性指标及其相关的可靠性指标,选取失效率作为安全性指标,对比动态故障树及Petri Net建模方法,选取后者建立静态逻辑变迁和动态逻辑变迁的Petri Net指标分配模型。在此基础上,提出考虑严酷等级的系统安全性指标分配方法,经过算例分析,构建Petri Net层次系统故障模型进行指标分配。结果表明,分配值均在相应安全性指标内,该方法能够克服动态故障树法不直观、等分配法分配过于粗糙等缺陷,为飞机安全性设计与评估提供参考。     

多波束干扰系统雷达干扰资源优化分配方法

合理的干扰资源分配方法是干扰系统发挥效能的关键,传统的雷达干扰资源分配方法基于一对一或多对一原则,且分配时不考虑干扰样式。基于多波束干扰系统,考虑干扰样式的限制建立了干扰约束过滤模型,采用ISODATA算法实现了对目标雷达分群,将干扰样式纳入干扰资源进行了干扰参数设置。该分配方法,使得干扰决策更加合理,提升了系统的干扰效率和自适应能力。     

任意分布随机数的FPGA实现

为了满足数字电路板的随机测试需求,在Simulink/DSP Builder中建立了产生任意分布随机数的模型,并在FPGA上进行了半实物仿真和性能分析,结果表明该模型达到了设计要求,具有实用价值。     

新型火冰灭火剂喷洒布水性研究

通过实验数据阐述新型火冰灭火剂在自动喷水灭火系统中的喷洒布水性能。对比水、A型火冰灭火剂、AB型火冰灭火剂的喷洒质量分布情况,得出:AB型火冰灭火剂与水相近,可直接用于自动喷水灭火系统或水-泡沫灭火两用系统中;A型火冰灭火剂则不可直接使用。     

基于退化量分布的某型电连接器寿命预测方法

使用基于退化量分布的方法对某型电连接器进行了寿命预测,得到了其可靠度曲线并预测出其平均寿命为398 895 h。通过对各加速应力水平下所有样品的退化量进行拟合优度检验,得出退化量在各测量时刻最优服从正态分布,进而确定了退化量均值、方差与温度应力之间的关系。为了提高估计精度,使用极大似然法进行整体统计推断获取未知参数的估计值,并基于参数值与温度的关系外推出样品在工作温度下的可靠度函数。通过可靠度曲线的比较,获知样品寿命较好地服从对数正态分布,并基于此进行了平均寿命预测。     

寿命分布的参数Bootstrap拟合优度检验方法

拟合优度检验在统计和可靠性等领域具有非常重要的地位,基于参数Bootstrap重采样的思想,对未知参数的常用寿命分布进行拟合优度检验。数值仿真结果表明,相对于传统的经验分布函数检验,这种基于参数Bootstrap的拟合优度检验具有更高的功效,特别是在小样本的情况下,优势明显。