防空导弹弹道跟踪制导规律研究

根据李亚普诺夫稳定性原理,利用基准优化弹道参数构造滑动面,提出了一种新的弹道跟踪制导规律。对跟踪制导规律的数学原理进行了描述,给出了详细的推导过程和二维平面弹道仿真数学模型及仿真结果。结果表明所提出的弹道跟踪制导规律能使导弹快速跟踪基准优化弹道。     

基于激光推进的光船发射任务设计与参数优化分析

针对发射初始质量为100kg的光船到近地圆轨道的任务,研究了激光平均功率、激光大气传输特性、光船激光接收面面积、发动机比冲、发动机能量转化效率等参数之间的相互关系及光船飞行任务的优化问题。针对激光发射光船的具体要求,由功率估算公式计算出激光平均功率,从激光作用范围估算出光船的激光接收面的最小面积;基于光船飞行动力学模型,结合估算的参数,应用序列二次规划方法优化计算出光船飞行的最优弹道。计算结果表明,光船入轨质量可达到35.5kg,最优比冲为8140m/s。     

Revenue maximization in two-station tandem queueing systems

We study optimal pricing for tandem queueing systems with finite buffers. The service provider dynamically quotes prices to incoming price sensitive customers to maximize the long-run average revenue. We present a Markov decision process model for the optimization problem. For systems with two stations, general-sized buffers, and two or more prices, we describe the structure of the optimal dynamic pricing policy and develop tailored policy iteration algorithms to find an optimal pricing policy. For systems with two stations but no intermediate buffer, we characterize conditions under which quoting either a high or a low price to all customers is optimal and provide an easy-to-implement algorithm to solve the problem. Numerical experiments are conducted to compare the developed algorithms with the regular policy iteration algorithm. The work also discusses possible extensions of the obtained results to both three-station systems and two-station systems with price and congestion sensitive customers using numerical analysis.     

战役野战油库油料输送力量优化分配研究

如何科学、合理分配战役野战油库油料输送力量是战时油料保障必须面临的一个实际问题。首先根据战役野战油库运油车分配模型得到一个运油车初始分配方案,然后运用计算机模拟技术对分配方案进行模拟,并根据模拟结果不断调整,直至得到优化的分配方案,为制定战役野战油库油料输送计划提供决策依据。     

航天器交会中的多圈Lambert问题研究

针对大椭圆轨道追踪器固定时间直接碰撞交会问题,介绍了一种快速确定多圈Lambert问题最优解的新方法。研究了多圈Lambert转移解,分析了转移时间与转移轨道参数的关系;研究了无时间约束最优直接碰撞交会及其必要条件。仿真表明:最优解快速确定方法有效、可行,并可提高计算效率。     

A bivariate optimal replacement policy for a cold standby repairable system with repair priority

In this article, an optimal replacement policy for a cold standby repairable system consisting of two dissimilar components with repair priority is studied. Assume that both Components 1 and 2, after repair, are not as good as new, and the main component (Component 1) has repair priority. Both the sequence of working times and that of the components'repair times are generated by geometric processes. We consider a bivariate replacement policy (T,N) in which the system is replaced when either cumulative working time of Component 1 reaches T, or the number of failures of Component 1 reaches N, whichever occurs first. The problem is to determine the optimal replacement policy (T,N)* such that the long run average loss per unit time (or simply the average loss rate) of the system is minimized. An explicit expression of this rate is derived, and then optimal policy (T,N)* can be numerically determined through a two‐dimensional‐search procedure. A numerical example is given to illustrate the model's applicability and procedure, and to illustrate some properties of the optimal solution. We also show that if replacements are made solely on the basis of the number of failures N, or solely on the basis of the cumulative working time T, the former class of policies performs better than the latter, albeit only under some mild conditions. © 2010 Wiley Periodicals, Inc. Naval Research Logistics, 2010     

油罐惰化置换时间的数学计算与模拟实验

基于对油罐惰化置换过程的假设和简化,得到惰化置换时间的计算公式,然后通过对计算公式的修正,完成了对油罐惰化置换时间的计算。最后通过对3次不同流量条件下模拟实验数据的非线性拟合,分别计算出3次实验气体扩散系数的取值,得到O2体积分数与置换时间之间的完整表达式。数学计算和实验的方法与结论将为进一步研究油罐油气的惰化置换规律提供有价值的参考。     

基于遗传算法的MIL-STD-188-220c标准最佳转发树的构造

针对MIL-STD-188-220C标准的路由协议多目的地址最佳转发树问题,提出一种基于遗传算法的优化算法,仿真结果表明,该算法具有收敛快,寻路成功率高的优点。     

PD反馈特征结构配置在最优控制问题中的应用

考虑了二阶线性系统的比例微分(PD)反馈特征结构配置问题以及其在最优控制问题中的应用。基于比例微分特征结构配置参数化方法,将二阶线性系统的最优控制问题转化为一个便于求解的有约束条件的极小值问题,并给出了相应的求解算法。三自由度质量弹簧阻尼系统算例及其仿真结果表明所提算法简单、有效。     

船艇液压设备故障检测诊断测点优化分析

在介绍液压传动控制技术在船艇装备应用的基础上,分析了液压系统的特点及其故障定位的困难性,提出了测点优化选择的重要性和现实性。依据成熟的图论理论、数学方法及测点布置的相关研究,结合已有的测点布置技术,对测点布置在液压设备上的优化选择进行了分析。