Asymptotically optimal component assembly plans in repairable systems and server allocation in parallel multiserver queues

T identical exponential lifetime components out of which G are initially functioning (and B are not) are to be allocated to N subsystems, which are connected either in parallel or in series. Subsystem i, i = 1,…, N, functions when at least K_i of its components function and the whole system is maintained by a single repairman. Component repair times are identical independent exponentials and repaired components are as good as new. The problem of the determination of the assembly plan that will maximize the system reliability at any (arbitrary) time instant t is solved when the component failure rate is sufficiently small. For the parallel configuration, the optimal assembly plan allocates as many components as possible to the subsystem with the smallest K_i and allocates functioning components to subsystems in increasing order of the K_i's. For the series configuration, the optimal assembly plan allocates both the surplus and the functioning components equally to all subsystems whenever possible, and when not possible it favors subsystems in decreasing order of the K_i's. The solution is interpreted in the context of the optimal allocation of processors and an initial number of jobs in a problem of routing time consuming jobs to parallel multiprocessor queues. © John Wiley & Sons, Inc. Naval Research Logistics 48: 732–746, 2001     

论师范院校语文教育理论课教学改革和实验

语文教育理论课普遍存在教学结构不合理 ,理论体系和技能训练体系不完整 ,缺乏系统性和科学性 ,理论传授与能力训练相脱节等问题 ,影响了教学质量的提高 ,制约了教学改革的展开。本文对该课程的教学结构进行重新审视、梳理 ,将之划分为两个系统 ,并将其各自要素及相互关系进行分析 ,论证了理论知识系统与教学技能训练系统在教学过程中相互对应 ,同步进行 ,共同深化的科学性和可行性。     

利用AHP确定决策方案排序的一种改进方法

针对在用AHP法求解权重排序向量时 ,用不同的计算方法导致排序方案不一致的矛盾现象 ,提出了一种在单准则下综合各个排序方案信息的方法 ,使AHP法更趋于完善     

Preservation of unimodality under shock models

A number of results pertaining to preservation of aging properties (IFR, IFRA etc.) under various shock models are available in the literature. Our aim in this paper is to examine in the same spirit, the preservation of unimodality under various shock models. For example, it is proved that in a non-homogeneous Poisson shock model if {p_k}_K≥0, the sequence of probabilities with which the device fails on the kth shock, is unimodal then under some suitable conditions on the mean value function Λ (t), the corresponding survival function is also unimodal. The other shock models under which the preservation of unimodality is considered in this paper are pure birth shock model and a more general shock model in which shocks occur according to a general counting process. © 1999 John Wiley & Sons, Inc. Naval Research Logistics 46: 952–957, 1999     

坦克发动机自行加温过程研究

为改进坦克发动机冷却系统,以12150L型坦克发动机为例,通过建立公式对发动机自行 加温过程进行了计算,得出不同条件下冷却液温度随时间的变化关系;并通过试验验证。由此为改进冷 却系统提供了理论依据。     

稳态随机过程激励下基于首次超越破坏的结构优化设计

把结构系统动力可靠性分析与最优化设计结合起来 ,以结构系统的最小质量为目标函数 ,给出了考虑在平稳随机过程激励下多自由度线性系统总的可靠性的结构优化设计方法。运用谱分析理论 ,推导了结构系统在平稳随机过程激励下响应的统计特征 ,同时结合首次超越破坏的Possion模型计算结构系统的可靠性 ,最终采用广义乘子法得到结构系统设计变量的最优值。计算结果表明该方法是可行的     

具有随机寿命的二维期权定价

由于期权合约在到期日之前可能被终止及标的资产的价格可能会因重大信息的到达而发生跳跃 ,文中在假设合约被终止的风险与重大信息导致的价格跳跃风险皆为非系统的风险情况下 ,应用无套利资本资产定价及Feynman kac公式 ,首先研究了标的资产服从连续扩散过程和跳—扩散过程具有随机寿命的交换期权定价 ,得到相应的定价公式 ;然后 ,研究了标的资产服从跳—扩散过程及利率随机变化具有随机寿命的期权定价 ,得到相应的定价公式     

Optimal control policies in service systems with limited information on the downstream stage

Existing models in multistage service systems assume full information on the state of downstream stages. In this paper, we investigate how much the lack of such information impacts jobs' waiting time in a two‐stage system with two types of jobs at the first stage. The goal is to find the optimal control policy for the server at the first stage to switch between type‐1 and type‐2 jobs, while minimizing the long‐run average number of jobs in the system. We identify control policies and corresponding conditions under which having no or partial information, the system can still capture the most benefit of having full information.     

武警部队开进路线问题的蚂蚁算法研究

部队开进路线问题是类似于TSP的NP问题。本文将蚂蚁算法应用于部队开进路线问题中,在综合考量每条路径的通行条件、隐蔽性、迂回道路数量基础上,通过层次分析法求出每条路径的权值,进而运用蚂蚁算法原理对问题设计算法。算法用Delphi实现,通过对实际部队开进路线问题的测试,得到较好结果。相对于传统的经验选择路径方法,此方法更少依赖选择主体的主观性,从而更具客观性与可重复性。     

武器装备论证及AHP层次分析法的应用

论证是装备研发过程中首要的、不可或缺的过程,涉及到不同层次、不同领域、不同学科的知识（自然科学、社会科学、工程技术等）,要处理定性的和定量的不同类型的信息和数据。如何把这些知识综合集成起来,解决决策和组织管理问题,需要有科学的方法来支持。本文试以AHP层次分析法解决实际问题一例,见诸论证方法之一斑,为涉及装备论证的科研、管理、决策人员自觉运用科学论证方法起到一点积极作用。