混合遗传算法及其在运载火箭最优上升轨道设计中的应用

运载火箭最优上升轨道设计问题是一类终端时刻未定、终端约束苛刻的最优控制问题,经典算法求解这类问题时收敛性差、局部收敛等问题表现得比较突出。针对上述问题,将具有良好全局收敛性的遗传算法应用到运载火箭最优上升段设计问题求解中,为了提高遗传算法的收敛速度和克服早熟问题,结合遗传算法和单纯型算法的优点,设计了两种混合遗传算法。计算结果表明,所设计的混合遗传算法是求解复杂问题的有效全局优化方法,可以成功地解决一类终端时刻可变飞行器最优控制问题。     

The gradual covering problem

In this paper we investigate the gradual covering problem. Within a certain distance from the facility the demand point is fully covered, and beyond another specified distance the demand point is not covered. Between these two given distances the coverage is linear in the distance from the facility. This formulation can be converted to the Weber problem by imposing a special structure on its cost function. The cost is zero (negligible) up to a certain minimum distance, and it is a constant beyond a certain maximum distance. Between these two extreme distances the cost is linear in the distance. The problem is analyzed and a branch and bound procedure is proposed for its solution. Computational results are presented. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004     

舰船装备修理规划方案的DEA分析与优化

运用DEA方法对舰船装备修理规划方案的有效性进行了分析,对非有效单元的改进途径进行了探讨,为舰船修理规划的制定提供了科学依据.     

面向突防效能的超声速巡航导弹总体设计技术初步研究

防御系统技术的不断发展,对超声速巡航导弹设计提出了新的需求.针对以“性能”为核心的设计不能满足超声速巡航导弹设计新需求的问题,初步探讨了面向突防效能的超声速巡航导弹总体设计技术.分析了国内外导弹武器设计技术的发展,指出设计技术向着以“效能为核心”的设计方向发展;提出了面向效能的设计理念,分析指出面向效能的设计是以追求满意设计为目标的优化设计;在新的设计理念指导下提出了面向突防效能设计的技术框架,主要说明了面向突防效能的超声速巡航导弹设计框架、效能基础、技术基础、基本模式以及几项关键技术等.     

Averaging frameworks for simulation optimization with applications to simulated annealing

We present two frameworks for designing random search methods for discrete simulation optimization. One of our frameworks is very broad (in that it includes many random search methods), whereas the other one considers a special class of random search methods called point‐based methods, that move iteratively between points within the feasible region. Our frameworks involve averaging, in that all decisions that require estimates of the objective function values at various feasible solutions are based on the averages of all observations collected at these solutions so far. Also, the methods are adaptive in that they can use information gathered in previous iterations to decide how simulation effort is expended in the current iteration. We show that the methods within our frameworks are almost surely globally convergent under mild conditions. Thus, the generality of our frameworks and associated convergence guarantees makes the frameworks useful to algorithm developers wishing to design efficient and rigorous procedures for simulation optimization. We also present two variants of the simulated annealing (SA) algorithm and provide their convergence analysis as example application of our point‐based framework. Finally, we provide numerical results that demonstrate the empirical effectiveness of averaging and adaptivity in the context of SA. © 2012 Wiley Periodicals, Inc. Naval Research Logistics, 2012     

基于Kriging模型的环形桁架可展天线结构参数优化方法

针对传统结构动力学优化过程中求解效率较低的问题,以环形桁架可展天线结构参数优化为研究背景,在环形桁架可展天线结构的参数变量空间中,以试验设计方法选取样本点,通过有限元方法得到各个样本点的第一阶固有频率、固定载荷最大变形等响应值,利用样本点和响应值的关系建立Kriging近似模型进行优化算法的寻优,得到满足所有约束条件的最优解。结果表明,所得到的环形桁架可展天线第一阶固有频率、固定载荷最大变形的响应面呈现比较明显的非线性关系,基于Kriging模型的结构优化方法能比较准确地对环形桁架可展天线进行寻优设计。     

战时野战通信装备随机备件优化方法

随着模块化技术在军事领域的广泛应用,通信装备的战场抢修通常采取换件修理的方式。针对战时野战通信装备随机模块化备件的配置问题,建立了装备战备完好性和费用约束的优化模型,并给出了遗传算法的求解过程。通过实例分析表明该方法能够在战时为装备配置数量合理的备件,使装备备件在满足战备完好性的基础上携行量最少。     

多平台侦察水雷优化模型

针对侦察水雷作战特点,运用最优化理论解决多平台侦察水雷问题。建立多平台侦察水雷优化模型,并通过基于效能指标的单类平台侦察水雷作战模型和基于二分法的最大侦察搜索区域宽度解算模型,得到各类平台的数量需求及其最佳侦察线路配置等关键参数的最优解,较好地满足了侦察水雷作战需求。     

MEFP战斗部结构的正交优化设计

以多爆炸成型弹丸(MEFP)为计算模型,应用显式有限元程序LS-DYNA,分析了药型罩间距、锥角、壁厚、装药高度和装药直径5种因素对MEFP发散角的影响规律。结果表明:随着药型罩间距、壁厚和装药直径的增加以及药型罩锥角、装药高度的减小,MEFP的发散角在减小。在此基础上以MEFP发散角为命中和毁伤概率指标,应用正交优化方法针对5种结构因素对MEFP发散角的影响主次关系进行了分析研究。结果表明药型罩壁厚是MEFP战斗部命中和毁伤概率的主要影响因素,并得到了5种结构因素各水平的最优组合。     

航天测控调度问题的拉格朗日启发式算法

通过分析航天测控调度问题的测控需求,建立了航天测控调度0-1整数规划模型,运用拉格朗日松弛方法对模型中的任务约束和设备约束进行了松弛,运用次梯度优化算法求得了航天测控调度问题上界,同时得到了决策变量对应的拉格朗日权重,可以作为决策变量在最优解中是否被调度的启发式信息,对拉格朗日权重进行分析,提出了求解问题可行解的拉格朗日启发式算法。最后,通过对两个场景的试验分析验证了拉格朗日启发式算法所求可行解的优越性。