A search game with a protector

A classic problem in Search Theory is one in which a searcher allocates resources to the points of the integer interval [1, n] in an attempt to find an object which has been hidden in them using a known probability function. In this paper we consider a modification of this problem in which there is a protector who can also allocate resources to the points; allocating these resources makes it more difficult for the searcher to find an object. We model the situation as a two‐person non‐zero‐sum game so that we can take into account the fact that using resources can be costly. It is shown that this game has a unique Nash equilibrium when the searcher's probability of finding an object located at point i is of the form (1 − exp (−λ_ix_i)) exp (−μ_iy_i) when the searcher and protector allocate resources x_i and y_i respectively to point i. An algorithm to find this Nash equilibrium is given. © 2000 John Wiley & Sons, Inc. Naval Research Logistics 47:85–96, 2000     

Log‐concave and concave distributions in reliability

Nonparametric classes of life distributions are usually based on the pattern of aging in some sense. The common parametric families of life distributions also feature monotone aging. In this paper we consider the class of log‐concave distributions and the subclass of concave distributions. The work is motivated by the fact that most of the common parametric models of life distributions (including Weibull, Gamma, log‐normal, Pareto, and Gompertz distributions) are log‐concave, while the remaining life of maintained and old units tend to have a concave distribution. The classes of concave and log‐concave distributions do not feature monotone aging. Nevertheless, these two classes are shown to have several interesting and useful properties. We examine the closure of these classes under a number of reliability operations, and provide sharp reliability bounds for nonmaintained and maintained units having life distribution belonging to these classes. © 1999 John Wiley & Sons, Inc. Naval Research Logistics 46: 419–433, 1999     

基于状态的装备可靠度模型及其应用

为应用基于状态的装备可靠度模型，实现对装备的精确维修，采用了比例风险模型（Proportional Hazards Model，PHM）将装备的年龄信息及检测所得状态信息融入系统的风险函数中。考虑到样本包含截尾数据的情形，应用极大似然估计方法对模型中的参数进行了估计以及相应的模型检验。通过对该方法在一个实际案例中应用的详细分析，验证了方法的可行性。     

基于贴近度的机械设备技术状态综合评估方法

讨论了模糊逻辑方法应用于技术状态综合评估的问题,提出了基于贴近度概念的技术状态综合评估方法;介绍了专家系统开发时,基准状态集的建立、基准状态中特征参数的选择、特征参数归一化处理模型等关键技术;讨论了专家系统的运行方式和知识库扩充的基本步骤.     

层间接触与弹性模量对某导弹场坪动载的影响

为了研究某型导弹典型公路发射场坪沉降量和受力状态,利用混凝土塑性损伤模型建立某导弹无依托发射场坪有限元模型,在选取30种典型路面结构的基础上,分析了土基层弹性模量和面层与基层间黏结状况两个因素对路面动载响应的影响。结果表明:层间接触不良会导致路面弯沉、剪应力变大。同时得出该型导弹发射道路土基层弹性模量应大于20 MPa。研究结果对于评估导弹无依托发射生存能力和快速反应能力提供参考依据。     

边界条件对复合材料层合板准静态压痕损伤的影响

在实际的服役过程中,飞机用复合材料层合板通过四边铆接的方式与飞机金属框架进行连接,其受力时的边界条件为四边固支。以实际应用背景为基础,分别从分层损伤扩展模式、接触力、凹坑深度、损伤宽度四个方面系统地比较了四边固支和四边简支两种边界条件下,复合材料层合板准静态压痕损伤的区别。结果表明以上四种变量在两种边界条件下均存在明显差异,可为基于实际应用的复合材料准静态压痕损伤研究提供实验依据。     

一类具Holling-Ⅲ类功能性反应的食物有限捕食-被捕食模型的极限环

研究一类具Holling-Ⅲ类功能性反应的食物有限捕食-被捕食模型的动力学性态。应用微分方程定性理论，证明当正平衡点不稳定时该模型存在唯一稳定的极限环。     

Inducing coordination in supply chains through linear reward schemes

Decentralized decision‐making in supply chain management is quite common, and often inevitable, due to the magnitude of the chain, its geographical dispersion, and the number of agents that play a role in it. But, decentralized decision‐making is known to result in inefficient Nash equilibrium outcomes, and optimal outcomes that maximize the sum of the utilities of all agents need not be Nash equilibria. In this paper we demonstrate through several examples of supply chain models how linear reward/penalty schemes can be implemented so that a given optimal solution becomes a Nash equilibrium. The examples represent both vertical and horizontal coordination issues. The techniques we employ build on a general framework for the use of linear reward/penalty schemes to induce stability in given optimal solutions and should be useful to other multi‐agent operations management settings. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2006     

风作用下缆船拖带非线性系统运动数值模拟

基于船舶操纵性运动方程和拖缆的三维动力学运动方程,提出了被拖点位置匹配的方法,建立了拖船—拖缆—被拖船系统的非线性整体拖带动力学模型.为了考察被拖船航向稳定性与横向稳性的关系以及风载荷作用的影响,被拖船采用水平面四自由度运动方程,并引入了风的作用力和力矩.拖船采用PD控制方法较真实地模拟了拖船航向改变的运动过程.对一个拖船—拖缆—被拖船系统(5 000 t的拖船和3 000 t的被拖船)在时域内进行了风作用下拖带运动的模拟.计算结果表明,风力增大拖带航向稳定性降低,拖带航向稳定是横向稳的必要条件.数值计算结果归纳出判别被拖带船航向稳定性的极坐标图,该极坐标图表明顶风航行较顺风具有较强拖带航向稳定能力,但是拖带航向稳定性区域很小,而顺风和顺斜风拖带比顶斜风具有更大的拖带航向稳定性区域.     

工程圆管故障的振动诊断技术

本文应用结构的敏感度分析法,以敏感区的频响函数作为观测特征量,建立了故障诊断的识别方程。利用Kalman 滤波迭代算法对某工程圆管进行了刚度型故障诊断的仿真计算和试验分析。结果表明振动诊断技术可用于工程结构故障的微机实时监控,具有精度较高,抗干扰能力较强的特点。