基于排队论的防空兵力部署优化模型

兵力部署优化问题是防空指控系统的重要研究内容之一。针对多型防空武器多层多区段混合部署问题,对异型空袭武器和防空武器基于作战效能标准化处理,基于排队论给出空袭武器的突防概率计算模型,将防空武器系统综合防御效能作为优化目标,建立多型防空武器扇形部署优化模型。仿真实验验证了优化模型的有效性和合理性,可为科学制定兵力部署方案提供参考。     

基于群体协同的驱护编队中近程防空的系统效能

针对中近程反导的具体要求,分析了典型的驱护编队反导模式下编群队形特点,研究了指挥舰与护卫舰的队形关联性,探讨了基于信息化作战模式的抗饱和攻击能力,建立了基于多目标优化的最保守与最乐观情况下的抗饱和攻击模型,得到舰艇编队协同防空的系统效能,对驱护编队防空反导指挥决策具有很强的参考价值。     

基于SPRT的组合导航故障检测与隔离互辅算法

针对SPRT(序贯概率比检验)算法无法准确判断缓变故障结束时间的问题,提出了一种故障检测与隔离互辅算法。采用SPRT算法对滤波残差进行故障检测,确认故障后隔离故障观测量,重新建立卡尔曼滤波观测方程并完成量测更新,将隔离后的滤波结果作为下一时刻的滤波初值辅助故障检测。仿真结果表明,该方法能准确定位故障观测量并判断出故障的结束时间,提高了系统可靠性。     

Non‐zero‐sum nonlinear network path interdiction with an application to inspection in terror networks

A simultaneous non‐zero‐sum game is modeled to extend the classical network interdiction problem. In this model, an interdictor (e.g., an enforcement agent) decides how much of an inspection resource to spend along each arc in the network to capture a smuggler. The smuggler (randomly) selects a commodity to smuggle—a source and destination pair of nodes, and also a corresponding path for traveling between the given pair of nodes. This model is motivated by a terrorist organization that can mobilize its human, financial, or weapon resources to carry out an attack at one of several potential target destinations. The probability of evading each of the network arcs nonlinearly decreases in the amount of resource that the interdictor spends on its inspection. We show that under reasonable assumptions with respect to the evasion probability functions, (approximate) Nash equilibria of this game can be determined in polynomial time; depending on whether the evasion functions are exponential or general logarithmically‐convex functions, exact Nash equilibria or approximate Nash equilibria, respectively, are computed. © 2017 Wiley Periodicals, Inc. Naval Research Logistics 64: 139–153, 2017     

Optimal division of inventory between depot and bases

We consider a problem of optimal division of stock between a logistic depot and several geographically dispersed bases, in a two‐echelon supply chain. The objective is to minimize the total cost of inventory shipment, taking into account direct shipments between the depot and the bases, and lateral transshipments between bases. We prove the convexity of the objective function and suggest a procedure for identifying the optimal solution. Small‐dimensional cases, as well as a limit case in which the number of bases tends to infinity, are solved analytically for arbitrary distributions of demand. For a general case, an approximation is suggested. We show that, in many practical cases, partial pooling is the best strategy, and large proportions of the inventory should be kept at the bases rather than at the depot. The analytical and numerical examples show that complete pooling is obtained only as a limit case in which the transshipment cost tends to infinity. © 2017 Wiley Periodicals, Inc. Naval Research Logistics, 64: 3–18, 2017     

Two‐agent scheduling on a single sequential and compatible batching machine

We study two‐agent scheduling on a single sequential and compatible batching machine in which jobs in each batch are processed sequentially and compatibility means that jobs of distinct agents can be processed in a common batch. A fixed setup time is required before each batch is started. Each agent seeks to optimize some scheduling criterion that depends on the completion times of its own jobs only. We consider several scheduling problems arising from different combinations of some regular scheduling criteria, including the maximum cost (embracing lateness and makespan as its special cases), the total completion time, and the (weighted) number of tardy jobs. Our goal is to find an optimal schedule that minimizes the objective value of one agent, subject to an upper bound on the objective value of the other agent. For each problem under consideration, we provide either a polynomial‐time or a pseudo‐polynomial‐time algorithm to solve it. We also devise a fully polynomial‐time approximation scheme when both agents’ scheduling criteria are the weighted number of tardy jobs.     

The role of covariate balance in observational studies

Observational data are prevalent in many fields of research, and it is desirable to use this data to make causal inferences. Because this data is nonrandom, additional assumptions are needed in order to construct unbiased estimators for causal effects. The standard assumption is strong ignorability, though it is often impossible to achieve the level of covariate balance that it requires. As such, researchers often settle for lesser balance levels within their datasets. However, these balance levels are generally insufficient to guarantee an unbiased estimate of the treatment effect without further assumptions. This article presents several extensions to the strong ignorability assumption that address this issue. Under these additional assumptions, specific levels of covariate balance are both necessary and sufficient for the treatment effect estimate to be unbiased. There is a trade‐off, however: as balance decreases, stronger assumptions are required to guarantee estimator unbiasedness. These results unify parametric and nonparametric adjustment methods for causal inference and are actualized by the Balance Optimization Subset Selection framework, which identifies the best level of balance that can be achieved within a dataset. © 2017 Wiley Periodicals, Inc. Naval Research Logistics 64: 323–344, 2017     

基于参数优化的SVM联合作战战场建设方案优选

联合作战战场建设方案优选可最大可能降低建设工程的损耗、提高整体建设效益。针对联合作战战场建设方案优选问题进行研究,首先梳理联合作战战场建设方案优选流程,然后构建包括作战保障工程、后勤保障工程、装备保障工程和战场基础信息数据库的指标体系,并提出基于网格搜索和交叉验证优化的改进SVM方法实施方案优选,仿真结果表明优化后参数的性能明显优于默认参数,更加适用于联合作战战场建设方案优选问题。     

基于多种群遗传算法的远程作战体系加油路径优化

为解决加油机在远程作战体系中的高效使用与经济性问题,推导了远程作战体系中加油机和歼击机的油耗方程模型,建立以耗油量最少为目标的空中加油路径优化模型。该模型基于一定的作战任务构想,利用多种群遗传算法进行了求解,从求解结果来看,该算法可以快速搜索到能够在所有满足作战任务要求的任务路径中寻找到最小消耗的位置坐标,以获得最大的作战效能,从而达到优化远程作战体系中的作战和训练中加油机使用问题。     

基于ModelCenter的顶置武器站稳定精度优化

顶置武器站具有系统组成类型复杂、子系统间存在耦合作用的特点,导致多学科协同仿真的优化模型难以建立。通过Adams、Simulink分别建立了顶置武器站机械系统及控制系统模型,并在多学科优化设计平台Model Center中对该机电联合仿真模型进行系统集成;在此基础上,以顶置武器站稳定精度为目标函数,采用一阶差分模型对炮控系统比例系数及积分系数进行了灵敏度分析,并采用设计探索优化器对该参数进行了优化设计。仿真结果表明,所建立的顶置武器站稳定精度多学科协同优化模型设计周期短、计算效率高,为下一步进行顶置武器站多工况、多结构参数的优化设计提供技术支撑。