两种选址问题的算法及有关结论

本文提出两种选址问题,对其局部最优性建立了充要条件,并在此基础上提出了该类问题的有效算法。     

基于0-1规划的弹种决策与发射时序优化

对于身管发射武器系统,同一发射单元使用不同弹种完成作战任务时,需要确立合适的弹种决策与最佳的发射时机.提出用O-1变量来描述弹种决策变量.通过时弹种发射机制及武器系统控制特点进行分析,构造多种0-1变量用以描述武器系统作战时序之间的约束关系,建立了弹种发射时序的0-1规划模型,并用LINGO软件实现了0-1规划的求解.给出了典型应用实例,进行了仿真计算,结果表明,该方法简单可行.     

具有离散时滞与分时时滞的非自治系统的渐近稳定性

研究了一类具有离散时滞与分布时滞的非自治线性系统的渐近稳定性问题，利用Lyaplunov函数方法和线性矩阵不等式（LMI），得到了系统渐近稳定性的一些充分条件，这些条件能够利用线性矩阵不等式（LMIs）表示，且表达式中含有具有时变时滞与分布时滞项，这样，具有时变时滞与分布时滞的非自治线性系统的稳定性就能够通过Matlab的LIM工具箱进行验证。     

Replacing nonidentical vital components to extend system life

We consider a system that depends on a single vital component. If this component fails, the system life will terminate. If the component is replaced before its failure then the system life may be extended; however, there are only a finite number of spare components. In addition, the lifetimes of these spare components are not necessarily identically distributed. We propose a model for scheduling component replacements so as to maximize the expected system survival. We find the counterintuitive result that when comparing components' general lifetime distributions based on stochastic orderings, not even the strongest ordering provides an a priori guarantee of the optimal sequencing of components. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

潜艇线式巡逻的最佳对策研究

本文先用面积法求出线式巡逻潜艇发现目标的概率,然后对潜艇发现目标距离作了分析。在此基础上,建立了潜艇线式巡逻的矩阵对策模型,并用计算机对此模型进行求解,得到了潜艇线式巡逻的最佳对策。最后,对最佳对策作了讨论。本文建立的矩阵对策模型和求得的结果以及求解方法可为组织潜艇进行线式巡逻提供决策的科学依据。     

Dynamic order acceptance and capacity planning on a single bottleneck resource

We present a tactical decision model for order acceptance and capacity planning that maximizes the expected profits from accepted orders, allowing for aggregate regular as well as nonregular capacity. The stream of incoming order arrivals is the main source of uncertainty in dynamic order acceptance and the company only has forecasts of the main properties of the future incoming projects. Project proposals arrive sequentially with deterministic interarrival times and a decision on order acceptance and capacity planning needs to be made each time a proposal arrives and its project characteristics are revealed. We apply stochastic dynamic programming to determine a profit threshold for the accept/reject decision as well as to deterministically allocate a single bottleneck resource to the accepted projects, both with an eye on maximizing the expected revenues within the problem horizon. We derive a number of managerial insights based on an analysis of the influence of project and environmental characteristics on optimal project selection and aggregate capacity usage. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

谈算法研究

算法是计算机程序设计的核心。本文结合实际应用,通过研究算法所取得的成效,说明算法研究的必要性和重要作用。     

42－160柴油机离合器换向拨叉叉头优化设计的光弹验证

本文用光弹性实验方法验证了有限元法对４２—１６０柴油机离合器换向拨叉优化设计的结果。实验证明,有限元优化设计是正确、可靠的,效果是非常好的。     

表格驱动程序设计方法

本文提出了一种具有广泛应用前景的程序设计方法——表格驱动(Formdriven)程序设计方法(以下简称表格驱动法)。文中首先描述了表格驱动法的基本思想、解的结构;分析了这种方法的特点与适用性;剖析了基于表格驱动法的办公自动化软件ALL-IN-1的设计思想,并指出表格驱动法特别适合于设计软件开发工具。     

用非线性规划求解有限推力最优交会

利用非线性规划方法研究了航天器的有限推力最优交会问题。这种方法利用了近年来发展起来的直接优化技术,用分段多项式来表示整个轨道的状态和控制向量,将最优控制问题转化为非线性规划问题。在应用这种方法时,先将整个轨道分为若干推力段和无推力段,然后利用配置方法产生推力段的约束段,利用状态转移矩阵来产生无推力段的约束。最后,对共面轨道情况下的交会进行了数值仿真,验证了方法的有效性和鲁棒性。