基于全局时态逻辑(GTL)的验证和测试生成研究

基于时态逻辑,定义了标准的逻辑操作公式、公理和扩展定理。根据测试生成和验证所要求的初始特性,提出了全局时态逻辑（Global Temporal Logic）GTL,避免了验证和测试中的回溯问题,从而提高验证和测试的效率。另外根据电路节点的扇入和扇出特性,介绍了利用时序线等启发知识来提高搜索策略的方法。     

Dynamic pricing under first order Markovian competition

We evaluate the effect of competition on prices, profits, and consumers' surplus in multiperiod, finite horizon, dynamic pricing settings. In our base model, a single myopic consumer visits two competing retailers, who offer identical goods, in a (first order Markovian) probabilistic fashion—if the posted price exceeds the consumer's valuation for the good, he returns to the same store in the following period with a certain probability. We find that even a small reduction in the return probability from one—which corresponds to the monopoly case at which prices decline linearly—is sufficient to revert the price decline from a linear into an exponential shape. Each retailer's profit is particularly sensitive to changes in his return probability when it is relatively high, and is maximized under complete loyalty behavior (i.e., return probability is one). On the other hand, consumer surplus is maximized under complete switching behavior (i.e., return probability is zero). In the presence of many similar consumers, the insights remain valid. We further focus on the extreme scenario where all consumers follow a complete switching behavior, to derive sharp bounds, and also consider the instance where, in this setting, myopic consumers are replaced with strategic consumers. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011     

小型无人机航位推算定位算法研究与误差分析

对空中航位推算(DR)算法做了深入研究,提出了适用于小型无人机(UAV)的风速估计策略;将算法中各元素的误差对推算定位精度的影响进行了理论分析与数值计算;该研究结果应用于某小型UAV的航位推算/GPS组合导航系统的设计与实现中;飞行试验表明,通过提高对DR误差影响较大的元素的测量精度和风速的估计精度,有效提高了DR推算精度,与以往其他小型UAVs相比,在断开GPS对DR的修正后,DR精度保持在一定范围的持续时间显著延长.     

论火灾损失的核定

对火灾损失核定中存在的问题进行了较深入的分析,通过引入中介组织,成立专家小组,注重时效性,加强人员素质等几方面来解决火灾损失核定中遇到的难题,建议对有关规定进行修改,并且发展火灾公众责任保险,来推进火灾损失核定工作。     

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     

基于TAU和SA的体系结构验证方法研究

TAU和SA是顶层设计领域广泛使用的成熟商业软件,具备对体系结构部分模型进行验证的能力。在分析体系结构验证的概念及验证内容的基础上,较完整地从语法层、语义层、语用层三个层次提出了基于TAU和SA的体系结构验证方法。以无人机侦察系统体系结构验证为例,说明了TAU和SA在状态图可达性验证和作战规则合理性验证上的有效性和实用性。     

基于状态变换的数字电路冗余确认研究

以状态跳变图为基础,深入分析了冗余变换与非法变换的特征,提出结构冗余和功能冗余的概念,并讨论了可测故障、不可测故障和冗余之间的联系.最后结合验证和测试生成,提出状态冗余的隐含遍历确认策略.     

搞好数学建模 促进数学教学

分析我校数学建模工作中的成功经验 ,找出不足 ,探索新路 ,使我校数学教学工作更上一层楼。     

反舰导弹仿真中的目标命中判断问题

阐述了模型校核的意义和作用。对属于模型校核范畴的仿真中的系统状态不连贯问题的基本概念通过乒乓球的下落和反舰导弹攻击目标舰艇的例子进行了说明。介绍了已有的解决系统状态不连贯问题的三种方法,并进行了优、缺点分析。给出了反舰导弹仿真中的目标命中判断模型。指出,反舰导弹仿真中的目标命中判断问题是一个系统状态不连贯问题。为解决该问题,提出并应用了一种新方法预测法。利用预测法,最多进行两步最小步长仿真,就能够以要求的精确度检测到任何一个系统状态不连贯。相对于以前的三种方法,在提高仿真效率的同时,预测法还能够避免对系统状态不连贯问题的漏检。     

一种改进的指纹图像局部方向场匹配方法

指纹方向场真实地反映了指纹图像中本质的纹理特征,包括了指纹的基本形状、结构和走势。定义了局部方向场图像的描述方法,可以根据纹理信息有效地描述并区分不同的细节点。在低质量指纹图像,特别是存在较严重非线性形变的指纹图像中,细节点方向属性不够可靠,使得以细节点对作为参考对齐局部方向场图像的方法效果不佳。提出一种改进的局部方向场图像对齐和匹配方法,能够明显改善局部对齐效果,提高局部匹配的准确性,从而更加有效地区分对应和不对应细节点。实验结果验证了提出方法的有效性。