辐射传热时活塞式气缸中加热气体的最大膨胀功

对热辐射传热定律q∝Δ(T4)下,给定初态内能、体积,末态体积以及过程时间时,加热气体膨胀的最优构型进行了研究,利用最优控制理论得出最大膨胀功输出时膨胀的最优构型由两个瞬时绝热分支和一个E-L分支组成的结论.给出了各分支之间转换点参数的求解方法及最优构型的数值算例,最后将线性唯象传热定律、牛顿传热定律、平方传热定律、立方传热定律和辐射传热定律下加热气体膨胀的最优构型进行了比较.结果显示,随着传热指数的增加,理想气体的内能呈现出明显的整体增加趋势,而体积则呈现出明显的整体减小趋势.     

火控系统最佳采样率问题的研究

先从滤波器和信号的频域特性出发给出了滤波器在频域的采样率匹配原则。第二部分从滤波器预测误差最小的原则出发导出了一组求解最佳采样时间的方程,并给出部分计算结果。第三部分提出了速度平滑处理法,解决了提高采样率引起的速度估计误差增大的矛盾。随后给出了典型航路下,综合各影响因素的模拟跟踪结果,并与“×型”指挥仪的跟踪结果作了分析对比。最后提出了针对不同空中目标的最佳采样率的建议     

载人飞船返回段的最优控制

本文介绍空间飞船再入段最优制导方法。纵向制导采用二次型性能指标最优的线性系统,得到最优控制规律。侧向制导利用庞特里亚金最小原理,得到最优开关曲线。结果表明,这些控制规律优于Rodney C.所介绍的制导方法。     

多跑道机场最优瞄准点选择方法研究

在着重分析多跑道机场的基础上,指出在进行最优瞄准点选择计算时应将跑道离散化,然后应用"直接循环迭代法"进行最优瞄准点选择计算,并提出利用常规导弹武器对机场目标进行打击时每一枚导弹应选取一个最优瞄准点的选择方法.经计算验证,结果可信,军事应用价值较高.     

Managing components for assemble‐to‐order products with lead‐time‐dependent pricing: The full‐shipment model

We study a component inventory planning problem in an assemble‐to‐order environment faced by many contract manufacturers in which both quick delivery and efficient management of component inventory are crucial for the manufacturers to achieve profitability in a highly competitive market. Extending a recent study in a similar problem setting by the same authors, we analyze an optimization model for determining the optimal component stocking decision for a contract manufacturer facing an uncertain future demand, where product price depends on the delivery times. In contrast to our earlier work, this paper considers the situation where the contract manufacturer needs to deliver the full order quantity in one single shipment. This delivery requirement is appropriate for many industries, such as the garment and toy industries, where the economies of scale in transportation is essential. We develop efficient solution procedures for solving this optimization problem. We use our model results to illustrate how the different model parameters affect the optimal solution. We also compare the results under this full‐shipment model with those from our earlier work that allows for multiple partial shipments. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

Probabilistic solution and bounds for serial inventory systems with discounted and average costs

We consider the infinite horizon serial inventory system with both average cost and discounted cost criteria. The optimal echelon base‐stock levels are obtained in terms of only probability distributions of leadtime demands. This analysis yields a novel approach for developing bounds and heuristics for optimal inventory control polices. In addition to deriving the known bounds in literature, we develop several new upper bounds for both average cost and discounted cost models. Numerical studies show that the bounds and heuristic are very close to optimal.© 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

软件构件可靠性与费用分配最优模型

针对软件构件可靠性和费用分配问题,给出一种可靠性和费用分配最优模型。文中将软件系统可靠性定义为软件构件失效密度、操作剖面、构件使用矩阵以及软件无失效运行时间的函数,描述了费用最优模型的建立和利用非线性规划理论求解模型的步骤,有效地处理了带有复杂计算的目标函数和约束条件的可靠性和费用最优分配问题。计算实例表明,利用该模型进行可靠性和费用分配是可行的。     

动基站时差探测系统定位方法研究

针对传统长基线时差探测系统的缺点,提出了全新的动基站时差测量系统并给出了目标的定位原理。在典型布站、信息存在冗余的前提下,通过子集选优法确定了最佳定位算法,并根据工程应用的需要确定了更加合理简捷的定位算法,统计仿真表明了该算法的有效性。最后,计算了目标高度测量精度并归纳了其特点,给出了有益的结论。     

A sequential scheduling problem with impatient jobs

There are n customers that need to be served. Customer i will only wait in queue for an exponentially distributed time with rate λ_i before departing the system. The service time of customer i has distribution F_i, and on completion of service of customer i a positive reward r_i is earned. There is a single server and the problem is to choose, after each service completion, which currently in queue customer to serve next so as to maximize the expected total return. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 659–663, 2015     

航天器转动惯量参数在轨辨识的最优激励

根据矩阵分析理论研究了转动惯量参数的可辨识性问题,从姿态动力学方程导出关于未知参数的线性回归模型,将回归矩阵的条件数作为参数可辨识度的定量指标,以可辨识度最大为目标函数建立最优控制模型;应用解最优控制问题的伪谱法,计算控制力矩陀螺的指令轨线,使得惯量参数的辨识精度和收敛速度显著提高;在仿真中采用双无迹卡尔曼滤波算法进行参数辨识,结果验证了所提出的最优激励设计方法可以改善参数辨识性能,同时该方法对先验信息误差具有鲁棒性。