Optimal motion planning in rapid‐fire combat situations with attacker uncertainty

This article provides a modeling framework for quantifying cost and optimizing motion plans in combat situations with rapid weapon fire, multiple agents, and attacker uncertainty characterized by uncertain parameters. Recent developments in numerical optimal control enable the efficient computation of numerical solutions for optimization problems with multiple agents, nonlinear dynamics, and a broad class of objectives. This facilitates the application of more realistic, equipment‐based combat models, which track both more realistic models, which track both agent motion and dynamic equipment capabilities. We present such a framework, along with a described algorithm for finding numerical solutions, and a numerical example.     

修正的响应面方法优化螺栓法兰连接结构几何参数

采用响应面法对螺栓法兰连接进行优化设计时,考虑到经典响应面模型的局限性,在获得结构优化参数与响应指标内在联系的基础上,提出了修正响应面模型;设计了数值试验并对比了数值试验值与前述两种响应面模型预测值,结果表明修正响应面模型的预测值不仅误差相对比较均匀,且最大误差绝对值要明显小于经典响应面模型的相应值。采用遗传算法对修正响应面模型进行了以法兰质量最轻为优化目标的参数优化,取得了比较理想的优化结果。     

A stochastic approximation algorithm to compute bid prices for joint capacity allocation and overbooking over an airline network

In this article, we develop a stochastic approximation algorithm to find good bid price policies for the joint capacity allocation and overbooking problem over an airline network. Our approach is based on visualizing the total expected profit as a function of the bid prices and searching for a good set of bid prices by using the stochastic gradients of the total expected profit function. We show that the total expected profit function that we use is differentiable with respect to the bid prices and derive a simple expression that can be used to compute its stochastic gradients. We show that the iterates of our stochastic approximation algorithm converge to a stationary point of the total expected profit function with probability 1. Our computational experiments indicate that the bid prices computed by our approach perform significantly better than those computed by standard benchmark strategies and the performance of our approach is relatively insensitive to the frequency with which we recompute the bid prices over the planning horizon. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011     

Signature based analysis of m‐Consecutive‐k‐out‐of‐n: F systems with exchangeable components

In this article, we study reliability properties of m‐consecutive‐k‐out‐of‐n: F systems with exchangeable components. We deduce exact formulae and recurrence relations for the signature of the system. Closed form expressions for the survival function and the lifetime distribution as a mixture of the distribution of order statistics are established as well. These representations facilitate the computation of several reliability characteristics of the system for a given exchangeable joint distribution or survival function. Finally, we provide signature‐based stochastic ordering results for the system's lifetime and investigate the IFR preservation property under the formulation of m‐consecutive‐k‐out‐of‐n: F systems. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011     

Improving series and parallel systems through mixtures of duplicated dependent components

We discuss suitable conditions such that the lifetime of a series or of a parallel system formed by two components having nonindependent lifetimes may be stochastically improved by replacing the lifetimes of each of the components by an independent mixture of the individual components' lifetimes. We also characterize the classes of bivariate distributions where this phenomenon arises through a new weak dependence notion. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011     

Annealing adaptive search,cross‐entropy,and stochastic approximation in global optimization

The Annealing Adaptive Search (AAS) algorithm for global optimization searches the solution space by sampling from a sequence of Boltzmann distributions. For a class of optimization problems, it has been shown that the complexity of AAS increases at most linearly in the problem dimension. However, despite its desirable property, sampling from a Boltzmann distribution at each iteration of the algorithm remains a practical challenge. Prior work to address this issue has focused on embedding Markov chain‐based sampling techniques within the AAS framework. In this article, based on ideas from the recent Cross‐Entropy method and Model Reference Adaptive Search, we propose an algorithm, called Model‐based Annealing Random Search (MARS), that complements prior work by sampling solutions from a sequence of surrogate distributions that iteratively approximate the target Boltzmann distributions. We establish a novel connection between MARS and the well‐known Stochastic Approximation method. By exploiting this connection, we prove the global convergence of MARS and characterize its asymptotic convergence rate behavior. Our empirical results indicate promising performance of the algorithm in comparison with some of the existing methods. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011     

BTT导弹制导律研究综述

与STT导弹相比,BTT导弹在气动效率、机动能力、控制性能等方面具有明显优势,但其运动耦合特性也给传统研究框架下的制导律设计带来了挑战。本文针对BTT导弹制导律设计问题展开研究,首先描述了BTT导弹制导基本问题,分析了BTT导弹制导律设计的技术难点,需要综合考虑运动耦合、多约束、目标机动、弹体动态效应等因素,然后综述了国内外现代制导律设计的基本方法,将其分为双通道解耦法、球坐标法、现代几何法等,最后指出了BTT导弹制导律的进一步研究方向。     

基于能量函数的插值代理模型推广能力评价准则

本文分析了插值型代理模型的特性,提出了影响插值代理模型的推广能力的重要因素是代理模型的振荡特性,分析表明:振荡剧烈的代理模型,其推广能力就弱。为了评价代理模型的推广能力,本文提出基于能量函数方法的评价方法。能量函数方法是通过计算代理模型的一阶和二阶导数,得出代理模型的振荡情况来进行评价。能量函数越高,代理模型的振荡越剧烈,因而其推广能力越差。测试函数表明,能量函数方法在评价代理模型推广能力上是有效的。     

基于维纳过程金属化膜电容器的剩余寿命预测

金属化膜电容器是惯性约束聚变激光装置能源系统最重要的元器件,对个体电容器的剩余寿命进行有效的预测对整个装置的可靠性水平有着重要的影响.为有效地预测个体电容器的剩余寿命,提出了融合单个电容器性能退化数据与先验性能退化数据信息的预测方法.采用Wiener过程对其性能退化过程进行建模,并根据先验退化数据信息构造参数的先验分布...     

基于Gauss伪谱法的航天器气动力辅助平面变轨问题研究

气动力辅助变轨技术可以有效地节约燃料,是未来航天器新型变轨技术的发展方向之一.该文采用Gauss伪谱法对航天器从高轨道向低轨道共面轨道转移问题进行了研究.在考虑热流限制、控制约束的条件下,得到了航天器大气飞行段的次优轨迹,并对轨迹特性进行了分析,证明优化结果满足一阶最优性必要条件.同时采用间接法处理该问题,对两种方法的...