多体系统 Lagrange 方程的算法研究

分析了欧拉角描述多体系统球铰的有关数值病态问题 ,提出在一定条件下 ,引入相应约束的解决思路以及混合伪坐标拉格朗日方法。     

火箭发动机燃烧室内气体非定常流动数值模拟

应用新的ＰＩＳＯ算法对液体火箭发动机内非定常流动过程进行了数值模拟计算。算法采用一步隐式预测、两步显式校正完成每一时间层计算,而不是通常的多次迭代计算,因而大大缩短计算时间。     

Scheduling jobs with piecewise linear decreasing processing times

We study the problems of scheduling a set of nonpreemptive jobs on a single or multiple machines without idle times where the processing time of a job is a piecewise linear nonincreasing function of its start time. The objectives are the minimization of makespan and minimization of total job completion time. The single machine problems are proved to be NP‐hard, and some properties of their optimal solutions are established. A pseudopolynomial time algorithm is constructed for makespan minimization. Several heuristics are derived for both total completion time and makespan minimization. Computational experiments are conducted to evaluate their efficiency. NP‐hardness proofs and polynomial time algorithms are presented for some special cases of the parallel machine problems. © 2003 Wiley Periodicals, Inc. Naval Research Logistics 50: 531–554, 2003     

多GPU的可压缩湍流并行计算

利用CUDA Fortran语言发展了一种基于GPU的计算流体力学可压缩湍流求解器。该求解器基于结构网格有限体积法,空间离散采用AUSMPW 格式,湍流模型为k-ω SST两方程模型,采用MPI实现并行计算。针对最新的GPU架构,讨论了通量计算的优化方法及GPU计算与PCIe数据传输、MPI通信重叠的多GPU并行算法。进行了超声速进气道及空天飞机等算例的数值模拟以验证GPU在大网格量情况下的加速性能。计算结果表明相对于Intel Xeon E5-2670 CPU单一核心的计算时间,单块NVIDIA GTX Titan Black GPU可获得107至125倍的加速比。利用四块GPU实现了复杂外形1.34亿网格的快速计算,并行效率为91.6%。     

Balancing stability and efficiency in team formation as a generalized roommate problem

The assignment of personnel to teams is a fundamental managerial function typically involving several objectives and a variety of idiosyncratic practical constraints. Despite the prevalence of this task in practice, the process is seldom approached as an optimization problem over the reported preferences of all agents. This is due in part to the underlying computational complexity that occurs when intra-team interpersonal interactions are taken into consideration, and also due to game-theoretic considerations, when those taking part in the process are self-interested agents. Variants of this fundamental decision problem arise in a number of settings, including, for example, human resources and project management, military platooning, ride sharing, data clustering, and in assigning students to group projects. In this article, we study an analytical approach to “team formation” focused on the interplay between two of the most common objectives considered in the related literature: economic efficiency (i.e., the maximization of social welfare) and game-theoretic stability (e.g., finding a core solution when one exists). With a weighted objective across these two goals, the problem is modeled as a bi-level binary optimization problem, and transformed into a single-level, exponentially sized binary integer program. We then devise a branch-cut-and-price algorithm and demonstrate its efficacy through an extensive set of simulations, with favorable comparisons to other algorithms from the literature.     

Al粉对硝化甘油分解释放NO_2的影响

为研究硝化甘油中加入Al粉对NO2释放的影响,运用计算化学分子模拟手段对两者共存条件下的相关反应进行初步分析.试验结果表明,在硝化甘油中加入Al粉,将会降低硝化甘油分解反应的难度,同时放出大量的热.     

Single machine scheduling with a restricted rate‐modifying activity

In this paper we consider the problem of scheduling a set of jobs on a single machine on which a rate‐modifying activity may be performed. The rate‐modifying activity is an activity that changes the production rate of the machine. So the processing time of a job is a variable, which depends on whether it is scheduled before or after the rate‐modifying activity. We assume that the rate‐modifying activity can take place only at certain predetermined time points, which is a constrained case of a similar problem discussed in the literature. The decisions under consideration are whether and when to schedule the rate‐modifying activity, and how to sequence the jobs in order to minimize some objectives. We study the problems of minimizing makespan and total completion time. We first analyze the computational complexity of both problems for most of the possible versions. The analysis shows that the problems are NP‐hard even for some special cases. Furthermore, for the NP‐hard cases of the makespan problem, we present a pseudo‐polynomial time optimal algorithm and a fully polynomial time approximation scheme. For the total completion time problem, we provide a pseudo‐polynomial time optimal algorithm for the case with agreeable modifying rates. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005     

基于二阶锥规划的MIMO雷达稳健自适应波束形成

针对MIMO雷达自适应波束形成中期望目标导向矢量的失配问题,提出了一种基于二阶锥规划(SOCP)的稳健自适应波束形成算法。该算法首先将1个MN维(M,N分别为发射和接收阵元数)的权矢量分解成2个低维(1个M维和1个N维)权矢量的Kronecker积,然后分别限制实际的目标发射导向矢量和目标接收导向矢量与假定的导向矢量之间的误差范数的边界,通过优化最差性能,利用SOCP求得分解后的2个权矢量,最后再合成原权矢量。通过降维处理,算法在保证波束形成器性能的基础上,有效地降低了运算复杂度。仿真结果验证了算法的有效性。     

Minimizing total completion time in two-processor task systems with prespecified processor allocations

We consider the problem of scheduling multiprocessor tasks with prespecified processor allocations to minimize the total completion time. The complexity of both preemptive and nonpreemptive cases of the two-processor problem are studied. We show that the preemptive case is solvable in O(n log n) time. In the nonpreemptive case, we prove that the problem is NP-hard in the strong sense, which answers an open question mentioned in Hoogeveen, van de Velde, and Veltman (1994). An efficient heuristic is also developed for this case. The relative error of this heuristic is at most 100%. © 1998 John Wiley & Sons, Inc. Naval Research Logistics 45: 231–242, 1998     

大肠杆菌转录起始位点的计算定位方法

根据已有的启动子识别算法,提出了一种基于滑动窗口的大肠杆菌转录起始位点(TSS)计算定位方法,通过在启动子信号特征中引入复合模式来改进识别分类器,并将其用于滑动窗口序列,在合理限定的TSS定位范围内依次计算各个序列位置的TSS似然得分,再利用TSS与翻译起始位点(TLS)的距离分布信息作为TSS的位置得分,两者相结合来进行位置预测。对大肠杆菌真实数据的测试表明,算法可以大幅度减少假阳性结果,实现对真实TSS位置的有效预测。