基于匈牙利算法求解的火力分配问题

匈牙利算法是求解指派问题的一个很好的算法,但一般情况下,火力分配问题的数学模型不具备指派问题的模型形式.针对目标函数是线性或非线性的一类火力分配问题,提出了虚拟火力单位或目标的方法,将问题转化为能够用匈牙利算法求解的指派问题,该方法简单、易于计算,有很高的应用价值.     

Optimal maintenance policies for serial,multi‐machine systems with non‐instantaneous repairs

We study optimal age‐replacement policies for machines in series with non‐instantaneous repair times by formulating two nonlinear programs: one that minimizes total cost‐rate subject to a steady‐state throughput requirement and another that maximizes steady‐state throughput subject to a cost‐rate budget constraint. Under reasonable assumptions, the single‐machine cost‐optimal and throughput‐optimal solutions are unique and orderable, and the multi‐machine optimal solutions have appealing structure. Furthermore, we establish equivalence between the two formulations and provide an illustrative numerical example. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006     

带优先级的单类型航空弹药转运多目标规划模型

针对航母航空弹药转运过程非常复杂、涉及设备多、要求高的特点,在对其流程进行细致分析的基础上,将其抽象为一个两阶段多目标规划问题。同时,深入分析了转运过程中的各种约束条件、构建了该问题的两阶段优化模型。建模时,不仅考虑了武器升降机的有效利用、弹药量的合理分配等因素,还考虑了转运时对于不同类型弹药转运优先级与停机区弹药需求优先级的要求。通过模型优化,在满足转运优先级要求的基础上,能有效提高航空弹药的转运效率。     

Subspace dynamic‐simplex linear interpolation search for mixed‐integer black‐box optimization problems

Design and management of complex systems with both integer and continuous decision variables can be guided using mixed‐integer optimization models and analysis. We propose a new mixed‐integer black‐box optimization (MIBO) method, subspace dynamic‐simplex linear interpolation search (SD‐SLIS), for decision making problems in which system performance can only be evaluated with a computer black‐box model. Through a sequence of gradient‐type local searches in subspaces of solution space, SD‐SLIS is particularly efficient for such MIBO problems with scaling issues. We discuss the convergence conditions and properties of SD‐SLIS algorithms for a class of MIBO problems. Under mild conditions, SD‐SLIS is proved to converge to a stationary solution asymptotically. We apply SD‐SLIS to six example problems including two MIBO problems associated with petroleum field development projects. The algorithm performance of SD‐SLIS is compared with that of a state‐of‐the‐art direct‐search method, NOMAD, and that of a full space simplex interpolation search, Full‐SLIS. The numerical results suggest that SD‐SLIS solves the example problems efficiently and outperforms the compared methods for most of the example cases. © 2017 Wiley Periodicals, Inc. Naval Research Logistics 64: 305–322, 2017     

求解非线性规划的小生境遗传模拟退火算法

提出了用小生境遗传模拟退火算法求解带复杂约束的非线性规划问题。首先分析了遗传算法＂早熟＂收敛以及局部搜索能力弱的不足,由此引入小生境以增加种群多样性,并抑制＂早熟＂收敛现象,同时引入模拟退火算法以增强局部搜索能力,改进进化后期收敛速度慢的不足,最后结合典型非线性规划算例验证了混合算法的效率、精度和可靠性。     

Integrating decisions with advance supply information in an assemble-to-order system

We study a periodic-review assemble-to-order (ATO) system with multiple components and multiple products, in which the inventory replenishment for each component follows an independent base-stock policy and stochastic product demands are satisfied according to a First-Come-First-Served rule. We assume that the replenishment for various component suffers from lead time uncertainty. However, the decision maker has the so-called advance supply information (ASI) associated with the lead times and thus can take advantage of the information for system optimization. We propose a multistage stochastic integer program that incorporates ASI to address the joint optimization of inventory replenishment and component allocation. The optimal base-stock policy for the inventory replenishment is determined using the sample average approximation algorithm. Also, we provide a modified order-based component allocation (MOBCA) heuristic for the component allocation. We additionally consider a special case of the variable lead times where the resulting two-stage stochastic programming model can be characterized as a single-scenario case of the proposed multistage model. We carry out extensive computational studies to quantify the benefits of integrating ASI into joint optimization and to explore the possibility of employing the two-stage model as a relatively efficient approximation scheme for the multistage model.     

燃气轮机仿真软件构造方法综述

从方法论的角度综述了燃气轮机仿真软件的研究现状,分析了过程式方法和过程式模块化方法的不足,阐明采用面向对象方法的必要性,并对未来的发展方向作了初步探讨.     

单小批量武器装备保障的质量屋模型研究

摘要：针对单小批量武器装备保障的特殊需求,对传统的质量屋模型进行了改进,建立了基于装备保障需求与保障规则的质量屋模型,利用整数规划技术进行求解,使得单小批量武器的装备保障规则按照实际保障需求重新排列优先次序,并通过对某型火炮保障方案的筛选验证了模型的正确性．新的质量屋模型发展完善了质量屋的理论与方法,有助于提高单小批量武器的装备保障能力．     

基于小样本数据的作战计划生成方法

针对部队实兵对抗实验数据生成和采集的投入高、难度大的实际,提出基于小样本数据生成作战计划的方法：首先,采用偏最小二乘回归分析法建立作战因素与作战结果间的多元非线性模型;其次,采用改进的遗传算法,在MATLAB平台编程实现了对模型的整数规划求解,并通过实例验证算法的有效性;最后,利用作战因素的重要性排序分析作战计划的调整流程。     

基于进化规划的RBF网络用于二相码旁瓣优化

研究了低截获概率技术中常用的二相编码信号处理中的距离旁瓣压缩问题,采用改进的进化规划算法优化径向基函数网络,提出了一种基于改进进化规划算法的计算方法。通过对13位巴克码和31位M编码的仿真实验,表明新的方法在旁瓣抑制能力和运算速度等性能方面,都有较大的提高。