Weak aging properties for coherent systems with statistically dependent component lifetimes

As a relevant topic in reliability theory, the preservation of aging properties under the formation of various coherent structures contributes to improving system performance through better structure design and more effective system maintenance. The classical research in this line usually focuses upon coherent systems with independent component lifetimes. Recently, some authors discussed the preservation of IFR, NBU, and DMRL in the setting of dependent component lifetimes. This paper further investigates sufficient conditions for coherent systems with dependent component lifetimes to preserve aging properties including NBUC, NBU (2), DMRL, and their dual versions. Some examples are presented to illustrate coherent structures and typical copula functions fulfilling the present sufficient conditions as well.     

The building evacuation problem with shared information

In this article, the Building Evacuation Problem with Shared Information (BEPSI) is formulated as a mixed integer linear program, where the objective is to determine the set of routes along which to send evacuees (supply) from multiple locations throughout a building (sources) to the exits (sinks) such that the total time until all evacuees reach the exits is minimized. The formulation explicitly incorporates the constraints of shared information in providing online instructions to evacuees, ensuring that evacuees departing from an intermediate or source location at a mutual point in time receive common instructions. Arc travel time and capacity, as well as supply at the nodes, are permitted to vary with time and capacity is assumed to be recaptured over time. The BEPSI is shown to be NP‐hard. An exact technique based on Benders decomposition is proposed for its solution. Computational results from numerical experiments on a real‐world network representing a four‐story building are given. Results of experiments employing Benders cuts generated in solving a given problem instance as initial cuts in addressing an updated problem instance are also provided. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

影响图建模算法的改进

影响图建模方法是一种规范化的复杂系统建模方法,其实质是将表征复杂系统的参量及参量间的耦合关系进行分类,并以此为基础建立系统的数学模型.影响图建模算法就是将系统的参量及参量间的耦合关系进行分类的算法.目前使用的算法是James R.Burns于1979年提出的.该算法仅考虑了最小的反馈回路,而没有考虑影响图中存在的一般反馈回路,且一些操作造成了不必要的循环.在分析该算法的基础上,考虑了一般的反馈回路,并对原算法的操作步骤进行了优化重组.     

建立雷达超视距探测效能库的一种快速算法

蒸发波导环境中微波雷达经常会出现超视距探测,建立雷达超视距探测效能库有利于微波超视距雷达探测效能的发挥。提出了一种计算雷达超视距探测效能的快速算法,即以蒸发波导高度、总体理查森数和海面风速为变量,先建立雷达超视距探测效能查询表,再利用查表的方法得到各种气象条件下雷达的探测效能,以此作为探测效能库的数据基础。最后将基于此算法得到的雷达探测规律与实际观测进行了比较,表明此算法是可行的。     

便携式绳轨提升装置的轮盘-绳索摩擦提升力模型

为提高便携式绳轨提升装置的实用性,对基于摩擦的该类装置的提升能力展开研究。利用控制变量法分别研究末端拉力、包角与轮盘-绳索相对尺寸对两者之间摩擦提升力的影响,结果表明该提升力均随三种因素的增加而增加但趋势变缓;轮盘-绳索之间的静摩擦系数随绳索末端拉力与包角的增加而减小并趋于稳定,随轮盘-绳索相对尺寸的增加而增加并收敛。论证了包角与末端拉力对摩擦提升力的影响相互等效,发现了轮盘-绳索摩擦的尺寸效应,构建了以上因素共同作用下的轮盘-绳索摩擦提升力模型。该模型是对欧拉公式的扬弃,深化了对轮盘-绳索摩擦规律的认识,对便携式绳轨提升装置的小型化、轻量化设计具有重要意义。     

A partial characterization of the optimal ordering/rationing policy for a periodic review system with two demand classes and backordering

We consider a finite horizon periodic review, single product inventory system with a fixed setup cost and two stochastic demand classes that differ in their backordering costs. In each period, one must decide whether and how much to order, and how much demand of the lower class should be satisfied. We show that the optimal ordering policy can be characterized as a state dependent (s,S) policy, and the rationing structure is partially obtained based on the subconvexity of the cost function. We then propose a simple heuristic rationing policy, which is easy to implement and close to optimal for intensive numerical examples. We further study the case when the first demand class is deterministic and must be satisfied immediately. We show the optimality of the state dependent (s,S) ordering policy, and obtain additional rationing structural properties. Based on these properties, the optimal ordering and rationing policy for any state can be generated by finding the optimal policy of only a finite set of states, and for each state in this set, the optimal policy is obtained simply by choosing a policy from at most two alternatives. An efficient algorithm is then proposed. © 2010 Wiley Periodicals, Inc. Naval Research Logistics, 2010     

A general model of heterogeneous system lifetimes and conditions for system burn‐in

Burn‐in is a technique to enhance reliability by eliminating weak items from a population of items having heterogeneous lifetimes. System burn‐in can improve system reliability, but the conditions for system burn‐in to be performed after component burn‐in remain a little understood mathematical challenge. To derive such conditions, we first introduce a general model of heterogeneous system lifetimes, in which the component burn‐in information and assembly problems are related to the prediction of system burn‐in. Many existing system burn‐in models become special cases and two important results are identified. First, heterogeneous system lifetimes can be understood naturally as a consequence of heterogeneous component lifetimes and heterogeneous assembly quality. Second, system burn‐in is effective if assembly quality variation in the components and connections which are arranged in series is greater than a threshold, where the threshold depends on the system structure and component failure rates. © 2003 Wiley Periodicals, Inc. Naval Research Logistics 50: 364–380, 2003.     

基于装备最优使用率的维修决策模型

根据作战单元中装备使用率与武器装备战损维修策略之间的关系,结合战斗过程中武器装备的战损规律和维修规律,运用马尔可夫链理论,建立了一种基于装备最优使用率的战损装备维修策略优化模型。运用这种最优维修策略模型可以达到提高作战单元中武器装备使用率的目的,从而为充分发挥作战单元整体战斗效能找到了一种新的装备维修辅助决策方法。这种维修决策优化模型主要采用量化分析的方法,根据作战单元中装备的战损情况和部队的维修能力制定出最优的维修策略,确定在战斗过程对战损装备进行维修的最优时机,达到提高作战单元整体战斗力的目的,从而为充分发挥作战单元的整体战斗力找到科学的途径。最后,结合实例对模型进行了检验。     

高超声速飞行器低可探测性滑翔弹道优化方法

为进一步提高高超声速飞行器的突防性能,提出高超声速飞行器低可探测性滑翔弹道优化方法。考虑飞行器180°×360°方向的雷达散射截面,针对原数据尖峰多、收敛难的难题,运用高斯滤波法对其进行预处理,既不改变原数据趋势又加以平滑,提高优化问题收敛性能。为使计算所用雷达散射截面数据具备较强的保真性,采用三次样条插值方法调用离散数据计算实时雷达散射截面。完成了高超声速飞行器低可探测性滑翔弹道优化问题的建模,以探测概率为目标函数,运用hp自适应Radau伪谱法优化求解,采用逐步计算策略进一步提高优化效率和收敛性能。与传统最短飞行时间弹道对比表明,该方法有效降低了飞行器被雷达发现的概率。     

都市圈石漠化区域采石场的生态恢复方法与措施探讨

都市圈石漠化区域采石场往往由于过度开发且未采取有效的恢复措施,致使生态环境破坏严重,严重影响了都市圈的生态环境和经济发展.在分析都市圈石漠化区域采石场生态恢复特点的基础上,论述了其生态恢复的基本方法及工程技术措施,指出都市圈石漠化区域采石场生态恢复应依据都市圈发展总体规划和景观生态学、景观建筑学及美学原理,采用开发性治理方法,综合运用多种工程技术措施恢复植被、整治水土流失并进行景观再造,从而满足都市圈对于景观的要求,提高土地利用价值,促进都市圈社会经济发展和城市生态环境建设.