极限概念及其发展的哲学解析

极限是微积分学的核心概念。极限概念及其发展过程中充满辨证思维,蕴含着深刻的哲学思想,体现了辨证法的联系论、对立统一律、否定之否定律。     

隧道防火涂料的研究进展与发展趋势

对隧道防火涂料的组成、工作原理、生产工艺流程及技术指标等作了简要阐述,并对近年来国内外隧道防火涂料研究中存在的问题及今后的发展方向进行了探讨与展望,认为隧道防火涂料既要满足隧道防火设计的要求,又要具有较高的性价比及环保性。     

任务分配问题的对称群方法

探讨了无人飞行器(UAV)编队的任务分配问题。任务分配是UAV协同控制的基础,其解是任务区域内各任务的一个排列。求解UAV任务分配问题的有效方法是能在合理的计算时间内找到近似最优解的启发式算法。用对称群描述UAV任务分配的搜索空间,基于右乘运算构造搜索邻域。仿真结果验证了群论禁忌搜索算法的有效性。     

基于神经网络的模糊理论在桥梁状态评估中的应用

探讨了模糊数学中的隶属函数在桥梁技术等级状态评估中的应用.在研究现有桥梁状态评估方法的基础上,把人工神经网络和模糊数学理论结合起来应用于大跨度预应力斜拉桥的等级状态评估,建立了基于三层神经元的模糊神经网络模型,并建立结构损伤度函数及等级隶属度模型,通过样本学习训练,获取评估专家的知识及直觉思维,最终确定桥梁所对应的技术状态等级.以检测的480组索力数据作为学习样本,另外4组作为验证样本进行了索力状态评估预测.计算结果表明,网络预测值与期望值吻合良好.     

Alleviating time inconsistent behaviors via a competition scheme

Under quasi‐hyperbolic discounting, the valuation of a payoff falls relatively rapidly for earlier delay periods, but then falls more slowly for longer delay periods. When the salespersons with quasi‐hyperbolic discounting consider the product sale problem, they would exert less effort than their early plan, thus resulting in losses of future profit. We propose a winner‐takes‐all competition to alleviate the above time inconsistent behaviors of the salespersons, and allow the company to maximize its revenue by choosing an optimal bonus. To evaluate the effects of the competition scheme, we define the group time inconsistency degree of the salespersons, which measures the consequence of time inconsistent behaviors, and two welfare measures, the group welfare of the salespersons and the company revenue. We show that the competition always improves the group welfare and the company revenue as long as the company chooses to run the competition in the first place. However, the effect on group time inconsistency degree is mixed. When the optimal bonus is moderate (extreme high), the competition motivates (over‐motivates) the salesperson to work hard, thus alleviates (worsens) the time inconsistent behaviors. © 2017 Wiley Periodicals, Inc. Naval Research Logistics 64: 357–372, 2017     

Strategy,theory, and history: Operation Husky 1943

In his 1987 work Strategy: The Logic of War and Peace (Harvard University Press, Cambridge, MA, 1987), Edward Luttwak described strategy as a field of activity characterised not only by an innately complex relationship between designs, actions and outcomes, but so too by the frequent disparity between its theory and praxis. Similar observations on this subject have since been made by Richard K. Betts, Lawrence Freedman and Antulio Echevarria II. This article will use the Allied invasion of Sicily in July–August 1943 as a vehicle through which to test these theories against a signal event in the European theatre of the Second World War. It will illustrate how Operation Husky and its aftermath are a paradigm of the confusing and often illogical course of events associated with the process of formulating strategy and waging war. In so doing it demonstrates the benefits of using strategic theory to illuminate events and so move beyond the often insular focus of campaign histories, and simultaneously reinforces the importance of military history in informing a theoretical understanding of strategy.     

Probabilistic resource pooling games

We study a setting with a single type of resource and with several players, each associated with a single resource (of this type). Unavailability of these resources comes unexpectedly and with player‐specific costs. Players can cooperate by reallocating the available resources to the ones that need the resources most and let those who suffer the least absorb all the costs. We address the cost savings allocation problem with concepts of cooperative game theory. In particular, we formulate a probabilistic resource pooling game and study them on various properties. We show that these games are not necessarily convex, do have non‐empty cores, and are totally balanced. The latter two are shown via an interesting relationship with Böhm‐Bawerk horse market games. Next, we present an intuitive class of allocation rules for which the resulting allocations are core members and study an allocation rule within this class of allocation rules with an appealing fairness property. Finally, we show that our results can be applied to a spare parts pooling situation.     

装备合同履行管理的动态演化博弈研究

在装备合同履行中存在着明显的信息不对称现象。为提高装备合同的履行效益,减少信息不对称的影响,在有限理性假设的前提下,建立了装备合同履行监督的动态演化博弈模型。对合同履行过程中承制单位与军事代表、合同履行管理部门之间的博弈关系进行了探究,得到了各参与方在不同条件下均衡策略的选择,并对优化装备合同的履行管理提出了建议。     

基于三方动态博弈模型的网络生存防御策略优化配置

针对网络攻防环境中防御方以提高系统生存能力为目的所进行的最优生存防御策略的选取问题,提出了一种基于完全信息动态博弈理论的生存防御策略优化配置算法。将恶意攻击方、故障意外事件及防御方作为博弈的参与人,提出了一种混合战略模式下的三方动态博弈模型,对博弈的主要信息要素进行了说明,以混合战略纳什均衡理论为基础,将原纳什均衡条件式的表达式转化为可计算数值结果的表达式,并据此增加了近似的概念,最后,将提出的模型和近似纳什均衡求解算法应用到一个网络实例中,结果证明了模型和算法的可行性和有效性。     

Terrorist choice: a stochastic dominance and prospect theory analysis

The paper explores terrorist choice by applying two well-known theoretical frameworks: stochastic dominance and prospect theory (PT). We analyse each pair of attack methods that can be formed from the RAND-MIPT database and the Global Terrorism Database. Instances of stochastic dominance are identified. PT orderings are computed. Attention is accorded to the identification of ‘trigger points’ and the circumstances that may lead to an increased likelihood that a terrorist will select an attack method associated with a higher expected number of fatalities, i.e. a potentially more damaging attack method.