发动机冷却燃料超临界压力下做功潜力㶲分析

在高马赫数飞行下,超燃冲压发动机的燃料冷却量大于燃料燃烧量。为了降低燃料的冷却量以及实现燃料冷却量和燃烧量的匹配,采用分析法对超燃冲压发动机壁面燃料冷却工质在超临界压力下进行做功潜力分析。发动机壁面冷却燃料的特性决定其热量大小。根据发动机壁面温度分布、热流密度分布计算热量,建立稳定流动燃料工质的平衡方程。结果表明:在壁面最高温度为1200 K时,传入壁面的热量为562.4 k W,其中理论热量为541.3 k W;冷却燃料工质流量增加,最大输出功减小;燃料工质出口温度增加,输出功减小;燃料工质出口压力增加,输出功基本不变。     

空间站零燃料大角度姿态机动路径存在性分析

零燃料大角度姿态机动技术是新近应用在国际空间站的新概念姿态控制技术。构造了以控制力矩陀螺为执行机构的空间站姿态控制动力学模型,在此基础上,建立了空间站本体与控制力矩陀螺之间的角动量守恒关系。针对各类大角度姿态机动任务,通过分析空间站惯量参数与控制力矩陀螺性能参数之间的解析关系,得到了零燃料大角度姿态机动路径的存在性条件。通过规划算例验证了存在性分析的正确性。所提出的零燃料大角度姿态机动存在性条件,为姿态机动路径的存在性判断提供了便捷可行的方法,为零燃料大角度姿态机动技术未来在我国空间站实施的可行性论证提供重要的理论依据。     

军事通信领域上下文本体建模及不确定性推理＊

为支持军事通信业务的智能化,研究了军事通信业务上下文信息的表示和推理,提出了一种表示业务上下文信息的语法结构、语义以及上下文元信息的本体建模方法。并利用贝叶斯网络理论,提出了一种支持不确定性推理的业务上下文认知模型的构建方法,最后通过案例分析验证了模型和结论的合理性。     

一类随机生态-流行病系统的分析

对一类食饵染病的随机食饵-捕食者系统,应用伊藤公式,给出系统均衡解的全局随机渐近稳定的条件,并通过数值模拟对理论结果进行论证.     

军事指挥控制中的贝叶斯决策支持

军事指挥控制是一个复杂的决策过程,该过程中信息是结合定性的专家知识和定量的融合数据而得到的.贝叶斯网为指挥控制系统提供了一个框架来处理这种专家知识和具体数据相结合的问题,并且影响图作为贝叶斯网的延伸可被用于分析指挥控制系统中某个决策的可行性.进一步地,为了减少所需指定的条件概率的数量并引入时变的概念,提出动态影响网作为一种新的决策支持方法.     

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     

Markets for surplus components with a strategic supplier

We study markets for surplus components, which allow manufacturers with excess component inventory to sell to firms with a shortage. Recent developments in internet commerce have the potential to greatly increase the efficiency of such markets. We develop a one‐period model in which a monopolist supplier sells to a number of independent manufacturers who are uncertain about demand for final goods. After uncertainty is resolved, the manufacturers have the opportunity to trade. Because uncertainty is over demand functions, the model allows us to endogenize both the price of final goods and the price of components in wholesale and surplus markets. We derive conditions on demand uncertainty that determine whether a surplus market will increase or decrease supplier profits. Increased costs of transacting on the surplus market may benefit manufacturers, because of the impact of these costs on the supplier's pricing power. The surplus market can decrease overall efficiency of the supply chain, since the benefit of better allocation of components may be outweighed by an increased double‐marginalization effect. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005.     

一类具有饱和发生率的SEIS传染病模型全局稳定性研究

研究一类易感者和潜伏者都有新增常数输入,疾病具有饱和发生率的SEIS传染病模型．经计算得到模型的基本再生数,证明当基本再生数〉1时,模型只存在惟一的地方病平衡点的结论,并利用特征方程和Hurwitz判据分析地方病平衡点的局部稳定性,通过采用第二加性复合矩阵理论证明地方病平衡点的全局渐近稳定性．     

可靠性鉴定中 Bayes 方法的运用

本文论述可靠性鉴定的Bayes方法。文中讨论了成败型和寿命型两种模型。给出了可靠性鉴定方法及可能犯的两种错误的概率计算公式。论述中,充分注意了工程实践中出现的问题,并提出了处置方法。     

Purchase and retrieval competition for seasonal produce

We study the competition problem of purchase and multiretrieval of perishable seasonal produce, where wholesalers purchase and stock their products in the first period, and then retrieve and sell them in subsequent periods. We first consider the duopoly case and assume that the prices are exogenous and fluctuate. In each period, after the price realization, the wholesalers retrieve some stock from their warehouses to satisfy their demands. One wholesaler's unsatisfied customers can switch to another and be satisfied by its left retrieved products. Any unsold retrieved stock has no salvage value and any unsatisfied demand is lost. The unretrieved stock is carried to the next period at a perishable rate. The wholesalers compete for the substitute demand by determining their own purchase and retrieval quantities. We show the existence and uniqueness of a pure-strategy Nash equilibrium, and that the Nash equilibrium strategy has the simple “sell-down-to” structure. We also consider the general N-person game and show the existence of the Nash equilibrium, and characterize the structure of the equilibrium strategy for the symmetric case. In addition, we consider the case with endogenous prices, and show that the problem reduces to a repeated newsvendor game with price and inventory competition. We derive the conditions under which a unique Nash equilibrium exists and characterize the equilibrium strategy. Finally, we conduct numerical studies to examine the impacts of the model parameters on the equilibrium outcomes and to generate managerial insights.