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。     

基于熵理论的战场情报评估方法

熵是度量信息有效性和可靠性的重要理论工具,分析了信息熵和条件熵,并深入研究了熵作为不确定性的度量在战场情报中的评估应用,最后举例说明了既要考虑信息的价值又要考虑其风险程度这一新的情报分析方法,使得决策过程透明化,降低了决策的风险。     

Optimal maintenance policies for a safety‐critical system and its deteriorating sensor

We consider the integrated problem of optimally maintaining an imperfect, deteriorating sensor and the safety‐critical system it monitors. The sensor's costless observations of the binary state of the system become less informative over time. A costly full inspection may be conducted to perfectly discern the state of the system, after which the system is replaced if it is in the out‐of‐control state. In addition, a full inspection provides the opportunity to replace the sensor. We formulate the problem of adaptively scheduling full inspections and sensor replacements using a partially observable Markov decision process (POMDP) model. The objective is to minimize the total expected discounted costs associated with system operation, full inspection, system replacement, and sensor replacement. We show that the optimal policy has a threshold structure and demonstrate the value of coordinating system and sensor maintenance via numerical examples. © 2017 Wiley Periodicals, Inc. Naval Research Logistics 64: 399–417, 2017     

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.     

基于核与灰度的区间灰数多属性群决策方法

针对属性值为区间灰数且专家权重未知、属性权重部分已知的不确定多属性群决策问题,提出了一种基于区间灰数的核和灰度的决策方法。给出了区间灰数的基于核和灰度的简化形式,充分利用区间灰数的核和灰度的信息建立优化模型求得属性的权重。在求出属性权重的基础上,运用灰色关联方法分别求取各专家的核与灰度距理想方案值的关联系数,综合两者得到专家权重,最终综合专家意见并对方案比较排序得出最优结果。鉴于此,提出一种基于区间灰数相对核与灰度的决策方法。最后以一个算例验证该方法的有效性和可行性。     

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.     

基于应变路径法的压入管桩单桩挤土位移

基于应变路径法和球孔扩张理论,结合真实源与虚拟源、真实源与虚拟汇的相互作用,在假定土体变形为小应变的前提下,将压入实心桩单桩挤土位移的求解方法应用于压入管桩,通过求解真实源与虚拟汇共同作用下产生的竖向挤土位移,并修正地表面处的附加剪应力,得到压入管桩单桩竖向挤土位移的解析解;通过求解真实源与虚拟源共同作用下产生的水平挤土位移,并修正地表面处的附加正应力,得到压入管桩单桩水平挤土位移的解析解。由挤土位移的解析解可知,桩长、管桩内外径和土塞高度最大值的变化都会对压入管桩挤土位移产生影响。     

三维均匀化理论预测多孔混凝土等效弹性模量

应用多尺度渐进展开的均匀化理论,推导三维均匀化理论的有限元解法,求解复合材料等效弹性系数。假设多孔混凝土由光滑均匀一致的球孔与水泥石基质组成,提出改进的随机投放方法,生成三维均匀化理论求解的随机单胞模型。以聚苯乙烯泡沫(EPS)混凝土为数值算例,生成6组不同体积分数的EPS混凝土随机单胞模型,通过三维均匀化理论的有限元法计算得到其等效弹性模量。计算结果表明:随机单胞模型能反映细观的非均质性,三维均匀化理论的有限元法计算得到的等效弹性模量变化趋势比较符合Miled的试验结果。     

静态初始条件下的歼击机中距攻防引导方法决策

在静态初始条件下,歼击机中距攻防引导方法的选择是一个定性与定量相结合的类别划分问题,因此,将粗糙集理论与概率神经网络相结合用于该问题的解决。首先,利用粗糙集理论实现专家知识约简、空战态势信息集压缩,得到最小决策信息集;其次,利用概率神经网络进行概率决策推理;最后,通过实例分析,结果表明决策推理正确,在不确定环境下仍然有效,提高了决策过程的自动化程度。