New results on a stochastic duel game with each force consisting of heterogeneous units

Two forces engage in a duel, with each force initially consisting of several heterogeneous units. Each unit can be assigned to fire at any opposing unit, but the kill rate depends on the assignment. As the duel proceeds, each force—knowing which units are still alive in real time—decides dynamically how to assign its fire, in order to maximize the probability of wiping out the opposing force before getting wiped out. It has been shown in the literature that an optimal pure strategy exists for this two‐person zero‐sum game, but computing the optimal strategy remained cumbersome because of the game's huge payoff matrix. This article gives an iterative algorithm to compute the optimal strategy without having to enumerate the entire payoff matrix, and offers some insights into the special case, where one force has only one unit. © 2013 Wiley Periodicals, Inc. Naval Research Logistics 61: 56–65, 2014     

双转子活塞发动机差速驱动组件的动态静力学建模与分析*

针对双转子活塞发动机的工作特点,分析了其差速驱动组件的机构特性,定义了动力学参数,进而采用矢量力学方法对差速驱动组件的动态静力学进行数学建模。运用Matlab对所建理论模型进行数值计算,得出了主要部件的受力特征。为了验证所建数学模型的合理性,基于多体动力学仿真理论,在Recur Dyn环境下建立了双转子活塞发动机的虚拟样机模型,仿真结果与理论计算结果相比较,相应的约束反力的数值变化规律基本一致,都呈现4个周期的变化过程,冲击位置也基本相同,表明建立的动力学理论模型基本符合实际情况,是可信的,可以用作双转子活塞发动机改进设计的理论基础。     

基于SD的战时装备维修器材消耗预测模型

从影响战时装备维修器材消耗的主要因素入手,基于系统动力学方法构建了战时装备维修器材消耗的SD模型。通过对模型的运行与仿真得到了装备维修器材的消耗数据,验证了模型的适用性和方法的可行性,为科学预测战时装备维修器材消耗、做好维修器材保障工作提供了新的方法指导。     

基于系统动力学的炮兵群作战体系仿真模型

运用系统动力学方法对炮兵群作战体系的对抗过程建立了仿真模型,分析了不同攻击策略产生的效果,为提高炮兵群作战体系的效能提供了决策依据。     

《连续系统建模》的计算机辅助学习与考核系统

本文介绍了一个用于《连续系统建模》学习与考核的计算机辅助教学课件的功能和设计原理,重点介绍了系统动力学模型图的知识表达和建模行为的有效性度量的方法。     

梢涡空泡初生预报方法

应用气泡动力学方程和气泡运动微分方程研究了梢涡空泡的初生问题.建立了球形气泡平均压力模型,通过模拟梢涡流场中的球形气泡形态对梢涡空泡的初生进行预报.应用平均压力模型分别计算了三种尺度水翼梢涡流场中不同初始尺寸气泡在一定时间内的半径和辐射声压,梢涡用轴向梢涡尺寸不变的兰金涡代替.计算结果表明:从光学法和声学法角度选取空化...     

基于SD流率基本入树的部队装备管理信息化建设研究

部队装备管理信息化建设是当前我军装备管理领域正在着力进行的一项复杂系统工程。深入探索建设规律,对于指导建设实践、提高建设质量具有重要意义。在对部队装备管理信息化建设进行系统分析的基础上,利用系统动力学（SD）流率基本人树建模方法构建了其流率基本人树模型,并利用vensim仿真软件对其进行了实例仿真。研究表明,运用系统动力学方法可以实现对部队装备管理信息化建设问题的研究由定性向定量转变,深化规律探索,同时研究结果也可为建设决策提供科学的定量理论支持。     

系统动力学C3I系统作战效能评估

C3I系统效能评估是C3I系统发展的重要问题,现有的ADC法、指数法、层次分析法和SEA方法等都存在着某种局限性,也无法度量C3I系统与作战结果的关系.系统动力学是一门分析研究信息反馈系统的学科,适合于研究C3I系统的系统效能和作战效能之间的定量关系.以一个具体的关于C3I系统的作战想定为例,构建了该C3I作战系统的因...     

载机军舰航空燃油分段接力式补给模型

为解决载机军舰远洋作战时所需的航空燃油按时补给问题,建立了带有自动调节系统的载机军舰航空燃油分段接力式补给的预测模型。对航空燃油分段接力式补给进行研究,采用系统动力学方法,构建影响补给船队补给效率的各元素因果回路图与存量流量图及预测模型,并以系统动力学软件Vensim PLE 5.9为平台进行建模仿真。运行结果表明,该模型在扰动条件下能进行航空燃油分段接力式补给趋势的预测,可为航空燃油分段接力式补给方案的制定提供理论依据。     

An inspection game: Taking account of fulfillment probabilities of players' aims

This paper deals with an inspection game of customs and a smuggler. The customs can take two options of assigning a patrol or not. The smuggler has two strategies of shipping its cargo of contraband or not. Two players have several opportunities to take actions during a limited number of days. When both players do, there are some possibilities that the customs captures the smuggler and, simultaneously, the smuggler possibly makes a success of the smuggling. If the smuggler is captured or there remain no days for playing the game, the game ends. In this paper, we formulate the problem into a multi‐stage two‐person zero‐sum stochastic game and investigate some characteristics of the equilibrium solution, some of which are given in a closed form in a special case. There have been some studies so far on the inspection game. However, some consider the case that the smuggler has only one opportunity of smuggling or the perfect‐capture case that the customs can certainly arrest the smuggler on patrol, and others think of a recursive game without the probabilities of fulfilling the players' purposes. In this paper, we consider the inspection game taking account of the fulfillment probabilities of the players' aims. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006