关于m×n型流程优化的探讨

网络图的优化，是根据一定的约束条件对网络图进行调整和改进，以达到科学安排工作，合理分配人力、物力、财力等资源，从而提高工作效率的目的。流程优化就是通过改变工作顺序，解决组织计划中出现的窝工现象。m×n型流程优化，是解决有m个单位依次进行n项活动时，如何安排各单位的顺序最优的问题。通过案例的耗时分析，提出了确定单位顺序的方法，希望对解决相似问题提供一定的参考。     

Aggregating courier deliveries

We consider the problem of efficiently scheduling deliveries by an uncapacitated courier from a central location under online arrivals. We consider both adversary‐controlled and Poisson arrival processes. In the adversarial setting we provide a randomized (3βΔ/2δ ? 1) ‐competitive algorithm, where β is the approximation ratio of the traveling salesman problem, δ is the minimum distance between the central location and any customer, and Δ is the length of the optimal traveling salesman tour overall customer locations and the central location. We provide instances showing that this analysis is tight. We also prove a 1 + 0.271Δ/δ lower‐bound on the competitive ratio of any algorithm in this setting. In the Poisson setting, we relax our assumption of deterministic travel times by assuming that travel times are distributed with a mean equal to the excursion length. We prove that optimal policies in this setting follow a threshold structure and describe this structure. For the half‐line metric space we bound the performance of the randomized algorithm in the Poisson setting, and show through numerical experiments that the performance of the algorithm is often much better than this bound.     

基于资源平衡的分布式星群网络连接接入策略

针对现有卫星网络接入策略未能充分考虑卫星资源以及合理确定卫星资源权重问题,提出了一种基于资源平衡的星群网络连接接入策略。该策略充分考虑卫星的多种资源建立卫星资源评价模型,利用移动代理技术,采用层次分析法和熵值法计算各卫星资源的主观和客观权重,并通过Kullback散度权重优化方法对主客观权重进行平衡处理,判决过程兼顾了卫星的综合性能水平和用户偏好,提高了接入的准确性和合理性。仿真结果表明,采用该接入策略,有效改善了新呼叫阻塞率和强制中断率。     

煤制油工业火灾扑救探析

简述了煤制油的发展历程,分析了煤制油工业的火灾危险性和火灾特点,初步总结和探讨了煤制油工业火灾的扑救方法,对引发的相关问题作了一些思考。     

Minimizing the false alarm rate in systems with transient abnormality

We consider a stochastic partially observable system that can switch between a normal state and a transient abnormal state before entering a persistent abnormal state. Only the persistent abnormal state requires alarms. The transient and persistent abnormal states may be similar in appearance, which can result in excess false alarms. We propose a partially observable Markov decision process model to minimize the false alarm rate, subject to a given upper bound on the expected alarm delay time. The cost parameter is treated as the Lagrange multiplier, which can be estimated from the bound of the alarm delay. We show that the optimal policy has a control‐limit structure on the probability of persistent abnormality, and derive closed‐form bounds for the control limit and present an algorithm to specify the Lagrange multiplier. We also study a specialized model where the transient and persistent abnormal states have the same observation distribution, in which case an intuitive “watchful‐waiting” policy is optimal. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 320–334, 2016     

浅谈培养解题能力

从深刻理解数学概念内涵、熟悉数学公式及变式和注重解题过程分析三个方面谈如何有效培养学生的解题能力 ,进而促进学生数学能力的发展     

基于ARIS的战时修理业务流程仿真研究

利用ARIS建模方法与工具，对战时装备修理业务流程进行了仿真研究。以陆军某机步师某型装备为例，给出了战时修理业务的主流程模型以及各分支模型，通过仿真运行及结果分析，得出了制约该流程的瓶颈和需要进一步优化的对象，为装备维修保障过程仿真提供了一个很好的思路和方法。该方法对于开发战时维修保障效能仿真评估系统，实现维修保障系统的动态仿真和全要素评估具有重要的支撑作用。     

AHP及其在潜艇作战指挥上的应用

层次分析法(AHP)是一种简便的、实用的多准则决策分析方法.在对传统的AHP进行概述的基础上,针对其在实际应用中存在的问题,介绍了国内外几种经典的综合及改进的层次分析法,并建立了较为完备的潜艇作战指挥效能的评价体系和模糊综合评价模型,对潜艇的作战指挥效能进行了综合的定量分析和计算.最后展望了AHP在潜艇作战指挥上的应用前景,并对各种AHP进行了比较.     

Designing a screening experiment for highly reliable products

Within a reasonable life‐testing time, how to improve the reliability of highly reliable products is one of the great challenges to today's manufacturers. By using a resolution III experiment together with degradation test, Tseng, Hamada, and Chiao (1995) presented an interesting case study of improving the reliability of fluorescent lamps. However, in conducting such an experiment, they did not address the problem of how to choose the optimal settings of variables, such as sample size, inspection frequency, and termination time for each run, which are influential to the correct identification of significant factors and the experimental cost. Assuming that the product's degradation paths satisfy Wiener processes, this paper proposes a systematic approach to the aforementioned problem. First, an intuitively appealing identification rule is proposed. Next, under the constraints of a minimum probability of correct decision and a maximum probability of incorrect decision of the proposed identification rule, the optimum test plan (including the determinations of inspection frequency, sample size, and termination time for each run) can be obtained by minimizing the total experimental cost. An example is provided to illustrate the proposed method. © 2002 Wiley Periodicals, Inc. Naval Research Logistics 49: 514–526, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/nav.10024     

On the availability of R out of N repairable systems

An R out of N repairable system consisting of N components and operates if at least R components are functioning. Repairable means that failed components are repaired, and upon repair completion they are as good as new. We derive formulas for the expected up‐time, expected down‐time, and the availability of the system, using Markov renewal processes. We assume that either the repair times of the components are generally distributed and the components' lifetimes are exponential or vice versa. The analysis is done for systems with either cold or warm stand‐by. Numerical examples are given for several life time and repair time distributions. © 2002 Wiley Periodicals, Inc. Naval Research Logistics 49: 483–498, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/nav.10025