基于图论的列检工作安排模型

针对目前列检工作安排中存在的一些问题：危险性高，强度大，工作量分配不均衡，工作时间安排不合理等，采用图论中的Hamilton圈方法将列检工作的安排转化为在一个赋权有向图中寻找最优路径的问题，并建立相应的0—1规划模型进行求解。结果保证所有列检工作队跨股道总数最少，各工作队繁忙程度相近，同时为每个工作队安排合理的休息及午饭时间，从而使列检工作的安排更加科学和人性化，提高列检的质量和效率，并实现突发情况下人员的实时调度。     

Robust nonparametric estimators of monotone boundaries

This paper revisits some asymptotic properties of the robust nonparametric estimators of order-m and order-α quantile frontiers and proposes isotonized version of these estimators. Previous convergence properties of the order-m frontier are extended (from weak uniform convergence to complete uniform convergence). Complete uniform convergence of the order-m (and of the quantile order-α) nonparametric estimators to the boundary is also established, for an appropriate choice of m (and of α, respectively) as a function of the sample size. The new isotonized estimators share the asymptotic properties of the original ones and a simulated example shows, as expected, that these new versions are even more robust than the original estimators. The procedure is also illustrated through a real data set.     

Common cyclic vectors for classes of operators having common spanning root spaces

The purpose of this paper is to show that various classes of operators having a common collection of root spaces whose closed linear span equals the entire space have dense sets of common cyclic vectors.     

On‐line evaluation of the stability of an inspection process

This article proposes control charts to monitor an inspection process based on the defective proportion of the inspected parts. The focus is on inspection process where the incoming parts form a sequence of independent units, such as unrelated clients arriving at a service facility. An example of this kind of inspection process is the periodic motor vehicle (PMVI) inspection. The effectiveness of the proposed control is evaluated using Monte Carlo experiments and is applied to an actual PMVI station. Copyright © 2009 John Wiley & Sons, Ltd.     

Equipartite gregarious 6- and 8-cycle systems

A k-cycle decomposition of a complete multipartite graph is said to be gregarious if each k-cycle in the decomposition has its vertices in k different partite sets. Equipartite gregarious 3-cycle systems are 3-GDDs, and necessary and sufficient conditions for their existence are known (see for instance the CRC Handbook of Combinatorial Designs, 1996, C.J. Colbourn, J.H. Dinitz (Eds.), Section III 1.3). The cases of equipartite and of almost equipartite 4-cycle systems were recently dealt with by Billington and Hoffman. Here, for both 6-cycles and for 8-cycles, we give necessary and sufficient conditions for existence of a gregarious cycle decomposition of the complete equipartite graph K_n(a) (with n parts, n?6 or n?8, of size a).     

Determining the optimum process mean based on quadratic quality loss function and rectifying inspection plan

In 1996, Pulak and Al-Sultan presented a rectifying inspection plan for determining the optimum process mean. However, they did not consider the quality cost for the product within the specification limits and did not point out whether the non-conforming items in the sample of accepted lot is replaced or eliminated from the lot. In this paper, we propose a modified Pulak and Al-Sultan’s model with quadratic quality loss function of product within the specification limits. Assume that the non-conforming items in the sample of accepted lot are replaced by conforming ones. Finally, the numerical results and sensitivity analysis of parameters of modified model and those of Pulak and Al-Sultan are provided for illustration.     

On the use of graphs in discrete tomography

In this tutorial paper, we consider the basic image reconstruction problem which stems from discrete tomography. We derive a graph theoretical model and we explore some variations and extensions of this model. This allows us to establish connections with scheduling and timetabling applications. The complexity status of these problems is studied and we exhibit some polynomially solvable cases. We show how various classical techniques of operations research like matching, 2-SAT, network flows are applied to derive some of these results.      

γ-巴豆酰内酯激发态动力学的共振拉曼光谱和完全活性空间自洽场(CASSCF)计算研究

采用共振拉曼光谱和完全活性空间自洽场(CASSCF)方法研究了γ-巴豆酰内酯的光吸收S₂态的结构动力学和衰变机制. 采用含时密度泛函理论方法结合光谱实验确认了紫外光谱和振动光谱. 获得了涵盖A-带吸收的4个激发波长下的共振拉曼光谱. 用CASSCF计算得到了S_1,min, S_2,min, T_1,min, T_2,min和T_3,min及其相关势能面交叉点的结构与能量. 研究了A-带共振拉曼光谱强度模式与S_2,min和CI(S₂/S₁)交叉点结构的关系. 借助El-Sayed规则分析了各系间窜跃路径的效率, 提出了γ-巴豆酰内酯从S_2,FC弛豫到基态S₀的2条主要路径: 内转换路径和系间窜跃路径.     

谈谈光学检测的指导思想

指导思想是指人们在做一件事之前,考虑要采取什么样的技术路线,使用怎样的工具和方法等等。人类经过长期的经验积累和理论研究,发展出许许多多测量方法和测试仪器、测量工具。计算机的出现和普及,使光学测试领域也发生了革命性的变化。集光一机一电一算于一体的新的测试仪器和经典的仪器设备之间的取舍,往往是决策者不能回避的选择。世界上的事情是复杂的,有的事情,从这个角度看应该这样,而从另一个角度看也许应该那样。但是,不管用什么手段,又经济又能解决实际问题就是好手段。以制造一个4m镜面为例,谈谈个人的测试思路。     

New exact solutions to the high dispersive cubic–quintic nonlinear Schrödinger equation

The complete discrimination system method is employed to find exact solutions for a dispersive cubic–quintic nonlinear Schrödinger equation with third order and fourth order time derivatives. As a result, we derive a range of solutions which include triangular function solutions, kink solitary wave solutions, dark solitary wave solutions, Jacobian elliptic function solutions, rational function solutions and implicit analytical solutions. Numerical simulations are presented to visualize the mechanism of Eq. (1) by selecting appropriate parameters of the solutions. The comparison between our results and other's works are also given.