极大单调算子零点的逼近问题

设H为实Hilbert空间,C为H的非空闭凸子集,T:C→2H为极大单调算子,假设S(T)={x∈H:0∈Tx}≠Φ。 xk∈H,βk>0,求 xk及ek满足( )　　xk+ek∈ xk+βkT( xk),‖ek‖≤ηk‖xk- xk‖, k≥0,其中,ηk≥0,supk>0ηk<1,βk≥β>0。设PC:H→C为H到C上的最近点投影算子,定义xk+1=PC( xk-ek),k≥0,证明了若T满足(S)型条件,则{xk}k≥0强收敛于T的某个零点。     

光电指向器水平度测量算法

通过对光电跟踪仪安装时水平度调整方法的研究,提出了利用坐标变换算法,用以实现光电跟踪仪安装时水平度的快速调整.利用该算法不但可以减少安装时的测量次数,节约安装调整时间,而且提高了设备安装时的测量精度,具有广泛的推广应用价值.文中还对该方法的测量计算误差进行了分析.     

适应任务的模块化卫星快速构建优化决策方法

如何根据应急航天任务,在满足各种约束的前提下,从型号众多、能力各异的卫星平台及有效载荷中快速决策效费比最佳的卫星构造方案引起了越来越多的关注,这就是适应任务的模块化卫星快速构建优化决策问题。在深入分析该问题特点的基础上,建立优化决策数学模型,提出基于遗传算法的优化决策方法,为处理遗传算法迭代过程中产生的不可行解引入基于罚函数法的约束处理方法。针对罚函数法中惩罚系数难于确定的特点,设计惩罚系数自适应调整的动态罚函数机制。定量化实验及分析结果表明:该方法能有效解决适应任务的模块化卫星快速构建优化决策问题。     

改进Dijkstra算法在大型城市轨道交通网计价系统中的应用

随着城市地铁建设的迅猛发展,国内众多城市地铁线路均已实现网络化运营。考虑到地铁票价制定的公益性,目前国内大部分城市均以最短路径或最少车站的方式计算线网两车站间的票价。以传统的Dijkstra算法为基准,对传统的Dijkstra算法进行改进,分别采用传统Dijkstra算法和改进Dijkstra算法对长沙地铁1～5号线线网最短距离行走路线进行测算。结果表明,改进后的Dijkstra算法不仅有效地提高了算法的时效性,克服了传统算法时间冗长的缺陷,在一定程度上消除了线路之间累积的误差且提高了线网的可延展性。     

Background dominant colors extraction method based on color image quick fuzzy c-means clustering algorithm

A quick and accurate extraction of dominant colors of background images is the basis of adaptive camouflage design. This paper proposes a Color Image Quick Fuzzy C-Means (CIQFCM) clustering algorithm based on clustering spatial mapping. First, the clustering sample space was mapped from the image pixels to the quantized color space, and several methods were adopted to compress the amount of clustering samples. Then, an improved pedigree clustering algorithm was applied to obtain the initial class centers. Finally, CIQFCM clustering algorithm was used for quick extraction of dominant colors of background image. After theoretical analysis of the effect and efficiency of the CIQFCM algorithm, several experiments were carried out to discuss the selection of proper quantization intervals and to verify the effect and efficiency of the CIQFCM algorithm. The results indicated that the value of quantization intervals should be set to 4, and the proposed algorithm could improve the clustering efficiency while maintaining the clustering effect. In addition, as the image size increased from 128 × 128 to 1024 × 1024, the efficiency improvement of CIQFCM algorithm was increased from 6.44 times to 36.42 times, which demonstrated the significant advantage of CIQFCM algorithm in dominant colors extraction of large-size images.     

Influence of propagation direction on operation performance of rotating detonation combustor with turbine guide vane

Due to the pressure gain combustion characteristics, the rotating detonation combustor (RDC) can enhance thermodynamic cycle efficiency. Therefore, the performance of gas-turbine engine can be further improved with this combustion technology. In the present study, the RDC operation performance with a turbine guide vane (TGV) is experimentally investigated. Hydrogen and air are used as propellants while hydrogen and air mass flow rate are about 16.1 g/s and 500 g/s and the equivalence ratio is about 1.0. A pre-detonator is used to ignite the mixture. High-frequency dynamic pressure transducers and silicon pressure sensors are employed to measure pressure oscillations and static pressure in the combustion chamber. The experimental results show that the steady propagation of rotating detonation wave (RDW) is observed in the combustion chamber and the mean propagation velocity is above 1650 m/s, reaching over 84% of theoretical Chapman-Jouguet detonation velocity. Clockwise and counterclockwise propagation directions of RDW are obtained. For clockwise propagation direction, the static pressure is about 15% higher in the combustor compared with counterclockwise propagation direction, but the RDW dominant frequency is lower. When the oblique shock wave propagates across the TGV, the pressure oscillations reduces significantly. In addition, as the detonation products flow through the TGV, the static pressure drops up to 32% and 43% for clockwise and counterclockwise propagation process respectively.     

Disruption management in production planning

We study the problem of recovering a production plan after a disruption, where the disruption may be caused by incidents such as power failure, market change, machine breakdown, supply shortage, worker no‐show, and others. The new recovery plan we seek after has to not only suit the changed environment brought about by the disruption, but also be close to the initial plan so as not to cause too much customer unsatisfaction or inconvenience for current‐stage and downstream operations. For the general‐cost case, we propose a dynamic programming method for the problem. For the convex‐cost case, a general problem which involves both cost and demand disruptions can be solved by considering the cost disruption first and then the demand disruption. We find that a pure demand disruption is easy to handle; and for a pure cost disruption, we propose a greedy method which is provably efficient. Our computational studies also reveal insights that will be helpful to managing disruptions in production planning. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005.     

汽油调合优化模型

为了提高炼油厂制订成品油调合方案的科学性,研究了汽油调合优化的非线性规划模型,给出了目标函数和约束条件的具体形式。根据模型特征,选用模拟退火算法对模型求解。最后,通过某炼油厂的一个应用实例验证了上述成品油调合优化模型的有效性。     

单星定向原理及GPS仿真试验

介绍了一种新的卫星定向方法,该方法仅利用一颗地球静止轨道卫星完成定向;介绍了利用GPS卫星进行单星定向原理验证试验的方法、条件和结果。试验结果表明,对于3m长基线,单星定向精度可达0.05°。从而说明利用一颗地球静止轨道卫星进行定向,在原理上是正确可行的。     

基于神经网络的材料非稳态疲劳损伤可靠性研究

疲劳累积损伤是一个非稳态能耗过程,可以用遗传算法优化后的3层2 7 1BP神经网络来描述疲劳损伤的非线关系,经仿真验证表明,该神经网络具有较高的精度和泛化能力.通过对材料疲劳损伤临界值和载荷的分散性的分析研究,建立了疲劳失效动态准则,并运用蒙特卡罗随机抽样法对材料疲劳寿命的可靠性进行了仿真验证;对调质45号钢在随机载荷和2级载荷作用下,进行了疲劳寿命可靠性仿真计算,仿真结果与实验结果和理论分析比较吻合.