模糊匈牙利算法在舰艇抢修人员指派问题中的研究

分析了舰艇在执行任务或作战等紧急情况下的抢修人员指派问题,并对此建立了多目标广义指派问题的数学模型。在任务数少于工作人数的情况下,采用虚拟“工作”和“人员”的方法,得到适合经典匈牙利算法的拓展效益矩阵,并对此矩阵采用匈牙利算法求得最优指派。     

离散随机系统的一类综合控制

研究离散线性随机系统在方差约束下的综合控制设计问题,即设计期望的静态输出反馈控制器,使闭环极点位于单位圆内的一个环形区域内。同时,每个稳态状态方差都满足给定的上界约束,从而使闭环系统具有良好的稳定特性和动态性能。本文利用修正的代数Ｌｙａｐｕｎｏｖ方程,推导出控制器存在的充分条件和解集刻划,并提供了说明性的数值算例。文中所得结果具有形式简洁、易于工程实现的特点     

装备修理任务最优分配模型

装备修理是我军一项计划性强、涉及面广和费用颇高的系统工作。本文首先系统分析了装备修理的组织过程。在此基础上,建立了适用于总部、军区等上下各级装备修理任务分配的数学规划模型,并对模型进行了讨论,同时对模型中目标函数的获取提供了一条可行的技术途径。最后,举例说明了该模型的应用。     

Petri网在防空C~3I系统建模与分析中的应用

针对野战防空系统中的火力分配问题,首先为旅营两级防空系统建立了Ｐｅｔｒｉ网模型,并运用时间Ｐｅｔｒｉ网理论对其进行了时延分析,论述了为野战防空火力分配建立辅助决策系统的重要性。最后利用谓词Ｐｅｔｒｉ网描述了火力分配的推理过程,为有效分析战术决策的正确性提供了依据和思路     

美军航母战斗群空袭火力及其效能分析

以美军航母战斗大队标准编成为例,简要分析了美军航母战斗群的空袭火力构成。进而分析了影响航母战斗群空袭火力效能的主要因素,分别建立了机载对地攻击弹药和巡航导弹对地面目标的毁伤能力的模型。然后以此为基础,从空袭兵器的突防概率、对目标的发现概率、对各类目标的毁伤概率和空袭某一目标所需的兵力四个方面,对航母战斗群空袭火力体系的作战效能进行了深入研究,并建立相应的数学模型。最后根据在历次战争中得到的经验数据,对美军航母战斗群空袭火力效能进行了计算,并分析了计算结果,为科学判断敌情提供了依据。     

Due‐window assignment with unit processing‐time jobs

In due‐window assignment problems, jobs completed within a designated time interval are regarded as being on time, whereas early and tardy jobs are penalized. The objective is to determine the location and size of the due‐window, as well as the job schedule. We address a common due‐window assignment problem on parallel identical machines with unit processing time jobs. We show that the number of candidate values for the optimal due‐window starting time and for the optimal due‐window completion time are bounded by 2. We also prove that the starting time of the first job on each of the machines is either 0 or 1, thus introducing a fairly simple, constant‐time solution for the problem. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004     

评估C4ISR系统的目标分配质量

分析了影响防空C4ISR系统目标分配质量的主要因素,并以此定义了5个基本指标.利用线性加权法给出了一架歼击机对一架目标机的分配能力的计算方法,以此为基础提出了不同机场的多类歼击机对多批目标的分配能力的算法.最后通过实例计算验证了模型的正确性和实用性.     

An efficient metaheuristic for integrated scheduling and staffing IT projects based on a generalized minimum cost flow network

Scheduling IT projects and assigning the project work to human resources are an important and common tasks in almost any IT service company. It is particularly complex because human resources usually have multiple skills. Up to now only little work has considered IT‐specific properties of the project structure and human resources. In this article, we present an optimization model that simultaneously schedules the activities of multiple IT projects with serial network structures and assigns the project work to multiskilled internal and external human resources with different efficiencies. The goal is to minimize costs. We introduce a metaheuristic that decomposes the problem into a binary scheduling problem and a continuous staffing problem where the latter is solved efficiently by exploiting its underlying network structure. For comparison, we solve the mixed–binary linear program with a state–of–the–art commercial solver. The impacts of problem parameters on computation time and solution gaps between the metaheuristic and the solver are assessed in an experimental study. Our results show that the metaheuristic provides very favorable results in considerable less time than the solver for midsize problems. For larger problems, it shows a similar performance while the solver fails to return feasible solutions. © 2012 Wiley Periodicals, Inc. Naval Research Logistics 59: 111–127, 2012     

常规导弹火力配置算法

基于理论推导提出了一种解决常规导弹火力配置问题的新算法。通过具体分析,建立了常规导弹打击目标火力配置的数学模型,描述了算法的具体原理,给出了算法的全局最优性证明和具体实现流程。     

特征结构配置和H_∞鲁棒控制的飞行控制器设计

常规的特征结构配置(EA)方法不能同时满足系统频域设计指标和鲁棒稳定性的要求,而H_∞鲁棒控制理论在设计控制器时,并没有考虑系统时域性能。为此,基于特征结构配置和H_∞鲁棒控制,设计一种直观的控制器。该控制器以特征结构配置作为内环控制器,以H_∞鲁棒控制器作为外环控制器,使闭环系统能同时获得较好的时域动态特性、鲁棒稳定性以及指令跟踪性能力。通过对某无人机横侧向飞行控制的仿真,进一步验证了该方法的有效性。