New inequalities for finite and infinite group problems from approximate lifting

In this paper, we derive new families of facet‐defining inequalities for the finite group problem and extreme inequalities for the infinite group problem using approximate lifting. The new valid inequalities for the finite group problem include two‐ and three‐slope facet‐defining inequalities as well as the first family of four‐slope facet‐defining inequalities. The new valid inequalities for the infinite group problem include families of two‐ and three‐slope extreme inequalities. These new inequalities not only illustrate the diversity of strong inequalities for the finite and infinite group problems, but also provide a large variety of new cutting planes for solving integer and mixed‐integer programming problems. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

Application of Markov renewal theory and semi-Markov decision processes in maintenance modeling and optimization of multi-unit systems

In this paper, a condition-based maintenance model for a multi-unit production system is proposed and analyzed using Markov renewal theory. The units of the system are subject to gradual deterioration, and the gradual deterioration process of each unit is described by a three-state continuous time homogeneous Markov chain with two working states and a failure state. The production rate of the system is influenced by the deterioration process and the demand is constant. The states of the units are observable through regular inspections and the decision to perform maintenance depends on the number of units in each state. The objective is to obtain the steady-state characteristics and the formula for the long-run average cost for the controlled system. The optimal policy is obtained using a dynamic programming algorithm. The result is validated using a semi-Markov decision process formulation and the policy iteration algorithm. Moreover, an analytical expression is obtained for the calculation of the mean time to initiate maintenance using the first passage time theory.     

横向效应增强型弹垂直侵彻薄靶的轴向剩余速度理论分析

为了得到横向效应增强型弹（Penetration with Enhanced Lateral Efficiency projectile, PELE）对金属薄靶垂直侵彻后的弹体轴向剩余速度，运用平面冲击波理论，对PELE的侵彻机理进行分析。参照平头弹体对靶板的侵彻模型，将PELE侵彻过程中的能量损失划分为以下几个部分：外壳体和内芯撞靶区域对应的环形塞块获得的能量、冲击波作用下弹体的内能增量以及剪切耗能等。然后根据能量守恒原理，得到PELE垂直侵彻金属薄靶后的PELE弹体轴向剩余速度的理论模型。为了验证该模型的合理性和准确性，设计相应的试验进行验证。结果表明，不同条件下得到的试验结果和理论模型得到的计算结果均吻合得较好。因此，得到的PELE垂直侵彻薄靶的轴向剩余速度理论模型可为工程应用提供指导和参考。     

基于排队论的反舰导弹突防概率研究

根据水面舰艇对海导弹攻击中作战指挥的需要,提出了基于排队论中随机服务理论的反舰导弹突防概率解算模型.综合研究了目标舰艇编队采用各种手段进行抗击帮助条件下,反舰导弹突防概率的计算问题,并且结合想定装备参数进行了算例分析.为指挥员实施导弹攻击提供辅助决策和量化支持.     

带紧扰动的极大单调算子的满值性定理

将周海云关于m-增生算子的有关结果推广到极大单调算子场合。     

复合材料结构传热分析的新的高阶热层合理论研究

提出了新的高阶热层合理论及相应的有限元模型．新的高阶热层合理论比作者最初提出的一阶热层合理论［１］前进了一大步,它有效克服了一阶热层合理论中存在的计算缺陷．大量数值算例表明了高阶热层合理论的精确有效性．算例还对铺设角和纵厚比对层合板温度场的影响进行了分析,并得到了一些有意义的结论．     

基于D-S理论的综合故障诊断决策方法

从解决综合诊断中多诊断方法诊断结果的综合问题出发,介绍了D-S理论的有关概念和公式以及组合规则,提出了D-S理论在综合故障诊断决策中的应用方法,解决了综合诊断系统中多诊断方法诊断输出结果的综合问题,减少了系统输出不确定性,提高系统诊断可靠性和准确性。     

空战关键信息与战术规则提取算法

将粗糙集理论引入到空战研究中 ,提出了一种通过属性约简提取空战决策的关键信息和战术规则的算法 ,以便对空战过程中的冗余信息进行约简 ,提高决策实时性。通过一个空战战术选择示例对该算法进行了验证 ,结果表明 :在保证空战战术分类结果不变的情况下 ,该算法可提取出对空战决策起关键作用的信息以及最小简化战术规则。     

军用雷达成本波动的源头探索与关键控制

根据军用雷达成本涉及的各个方面,建立雷达成本波动评价指标体系,运用主成分分析法确定其重要影响因子及权重,构造具有望小特性的评价函数可用于竞标决策选优,为军用雷达成本控制提供即时管理。     

Bayes信息融合方法在雷达故障诊断中的应用

根据雷达系统诊断信息多样化的特点,重点考虑雷达的BIT信息、FMECA信息、FTA信息和案例信息,提出将各类信息根据对故障现象的影响程度进行归一化处理,然后利用Bayes证据理论的方法将归一化后的信息进行融合处理,得到的结果进行故障诊断的方法,该方法可以克服各类故障信息中的量纲不一致性,可以提高诊断的可信度,降低诊断的不确定度,是一个比较理想的方法。