Efficient wavefunction propagation by minimizing accumulated action

This paper presents a new technique to calculate the evolution of a quantum wavefunction in a chosen spatial basis by minimizing the accumulated action. Introduction of a finite temporal basis reduces the problem to a set of linear equations, while an appropriate choice of temporal basis set offers improved convergence relative to methods based on matrix exponentiation for a class of physically relevant problems.     

Use of Exterior Differential Forms to Express the Time Dependent Diffusion Equation in Any Orthogonal Coordinate System

This paper illustrates the applicability of exterior differential forms to reactor theory by using them to represent the time dependent diffusion equation suitable for neutronic calculations. This formalism allows one to express the equation straightforwardly and easily in any orthogonal coordinate system. Because of present interest in CTR designs an application is made to a toroidal geometry with a general elliptical cross section.     

TRANSIENT ANALYSIS OF CRYSTALLIZATION: EFFECT OF THE SIZE DEPENDENT GROWTH RATE

The dynamics of the crystal size distribution in a continuous mixed suspension, mixed product removal crystallizer is modeled stochastically. The model is fairly general in that it involves a size-dependent growth rate function: this size-dependent growth rate as a possible cause of deviation on the behavior of the crystallizer from that of an idealized or simplified counterpart has been investigated based upon the model.     

Augment low-field intra-operative MRI with preoperative MRI using a hybrid non-rigid registration method

Background

Preoperatively acquired diffusion tensor image (DTI) and blood oxygen level dependent (BOLD) have been proved to be effective in providing more anatomical and functional information; however, the brain deformation induced by brain shift and tumor resection severely impairs the correspondence between the image space and the patient space in image-guided neurosurgery.

Method

To address the brain deformation, we developed a hybrid non-rigid registration method to register high-field preoperative MRI with low-field intra-operative MRI in order to recover the deformation induced by brain shift and tumor resection. The registered DTI and BOLD are fused with low-field intra-operative MRI for image-guided neurosurgery.

Results

The proposed hybrid registration method was evaluated by comparing the landmarks predicted by the hybrid registration method with the landmarks identified in the low-field intra-operative MRI for 10 patients. The prediction error of the hybrid method is 1.92 ± 0.54 mm, and the compensation accuracy is 74.3 ± 5.0%. Compared to the landmarks far from the resection region, those near the resection region demonstrated a higher compensation accuracy (P-value = .003) although these landmarks had larger initial displacements.

Conclusions

The proposed hybrid registration method is able to bring preoperatively acquired BOLD and DTI into the operating room and compensate for the deformation to augment low-field intra-operative MRI with rich anatomical and functional information.     

Modeling and solving mixed-model assembly line balancing problem with setups. Part I: A mixed integer linear programming model

This paper is the first one of the two papers entitled “modeling and solving mixed-model assembly line balancing problem with setups”, which has the aim of developing the mathematical programming formulation of the problem and solving it with a hybrid meta-heuristic approach. In this current part, a mixed-integer linear mathematical programming (MILP) model for mixed-model assembly line balancing problem with setups is developed. The proposed MILP model considers some particular features of the real world problems such as parallel workstations, zoning constraints, and sequence dependent setup times between tasks, which is an actual framework in assembly line balancing problems. The main endeavor of Part-I is to formulate the sequence dependent setup times between tasks in type-I mixed-model assembly line balancing problem. The proposed model considers the setups between the tasks of the same model and the setups because of the model switches in any workstation. The capability of our MILP is tested through a set of computational experiments. Part-II tackles the problem with a multiple colony hybrid bees algorithm. A set of computational experiments is also carried out for the proposed approach in Part-II.     

Improvement of constructive heuristics using variable neighbourhood descent for scheduling a flow shop with sequence dependent setup time

This paper deals with the problem of scheduling a flow shop operating in a sequence dependent setup time environment. The objective is to determine the sequence that minimises the makespan. Two efficient neighbourhood search-based heuristics have been developed and tested using 960 problems, and the results obtained reveal their usefulness. The algorithms make use of two existing constructive heuristics. A neighbourhood search known as variable neighbourhood descent is used to improve the two constructive heuristics. Experimentation is carried out on the 96 groups of problems with 10 problem instances in each group. Performance analysis is carried out using the relative performance improvement of each heuristic. The analysis shows a consistently better performance of the neighbourhood-based improvement heuristics. A paired comparison test is used for validating the superiority of the proposed heuristics. The statistical analysis reveals that the performance of the neighbourhood-based heuristics is very much dependent on the initial constructive heuristics used.     

基于参数依赖滚动时域H∞控制的高超声速飞行器控制

针对输入受限的高超声速飞行器强耦合、强非线性以及严重不确定性的特点,提出一种参数依赖滚动时域?∞控制(PD-RHHC)的方法.首先在考虑控制输入约束的条件下,引入参数依赖Lyapunov函数和松弛因子并提出了基于LMI优化的PD-RHHC;然后采用函数替换方法,结合张量积模型转换方法实现高超声速飞行器(HSV)纵向非线性弹性模型的LPV描述,并将PD-RHHC应用到高超声速飞行器纵向控制中,以实现HSV在大飞行包线内的机动飞行;最后通过仿真实验验证了所提出算法的有效性.     

基于物元模型的航道安全评估

航道安全评估涉及船舶性能、航道地形环境、航道自然因素以及助航设施等众多因素,特别是港口码头的不断建设、船舶流量的不断增加,使得航道的动态安全评估更显困难.为解决该问题,选用物元分析模型,构建了通航安全评价指标体系,量化评估不同阶段、不同条件下,洋山深水港进出口航道DA段的通航安全性.定量结果得到了船舶驾引人员的较高认同.实践证明该方法运用在海运领域具有一定的创新性和实用性,可作为航道安全论证的基本评估工具之一.     

一类非线性中立型系统的状态反馈时滞相关Ｈ ｉｎｆｉｎｉｔｙ控制

研究了一类非线性中立型时滞系统的H-infinity控制问题.利用了适当的参数待定的Lyapunov-Krasovskii泛函及LMI方法获得了中立型系统的稳定性时滞相关的判据,给出了H-infinity状态反馈控制器存在的时滞依赖的充分条件.所采用的方法在设计、求解控制器时不需要做矩阵变换,求解简单,利用Matlab的LMI工具箱求解方便,并且给出的数值仿真实例说明了方法的有效性.     

一类相依时序的两个重要分布

{Xi,i≥1}为平稳标准化正态时间序列,相关系数nρ=Cov（Xi,Xi＋n）。文章在经典相依条件nρlogn→ρ∈（0,∞）（n→∞）下,得到了该时序的最大值和次最大值、次最大值和位置的两个分布。从结果可以发现,此时的次最大值和位置不是渐近独立。这些结果是经典极值理论定理1、定理2的强相依情形的推广,对相依时序的统计方法有一定的意义。