Multiple objective linear programming models with interval coefficients – an illustrated overview

In most real-world situations, the coefficients of decision support models are not exactly known. In this context, it is convenient to consider an extension of traditional mathematical programming models incorporating their intrinsic uncertainty, without assuming the exactness of the model coefficients. Interval programming is one of the tools to tackle uncertainty in mathematical programming models. Moreover, most real-world problems inherently impose the need to consider multiple, conflicting and incommensurate objective functions. This paper provides an illustrated overview of the state of the art of Interval Programming in the context of multiple objective linear programming models.     

短程透镜-光栅型集成波分复用器

制备了一种短程透镜——光栅型集成光学波分复用器。本文简述了波分复用器的原理和制备工艺,描述了其中的关键元件光波导光栅和光波导透镜的设计及特性测量,给出了波分特性的实验结果.     

铜材料X射线聚焦组合透镜的设计与制作

铜材料X射线聚焦组合透镜是一种基于折射效应的X射线聚焦元件。简单介绍了组合透镜的设计理论研究结果,并据此对材料作了选择。针对铜材料组合透镜,分析了组合透镜结构参数、X射线工作波长的选择对组合透镜光学性能的影响。在此基础上,设计了组合透镜的结构参数,使其在硬X射线波段具有较好的聚焦性能,并能获得较高的焦斑强度。采用准LIGA技术制作了铜材料X射线组合透镜,给出了部分铜材料X射线组合透镜结构测量结果。     

光纤激光陀螺镜在超短脉冲测量中的应用研究

介绍了采用光纤激光陀螺镜测量超短脉冲宽度、形状、相位时的应用理论．以及相关群速度色散的补偿办法：利用可以自行调节旋转角速度的光纤陀螺镜作为光学延迟线实现旋转角速度的任意连续调整．并在使用归一化的Gerchberg-Saxlon算法中实现过程自动控制、克服了原有测量方法中因时延一定．只能作一次自相关处理．及把时延测量变为路径测量时准确性差和测量精度有限的缺点。利用高精度单光子计数系统对相干光包络进行测量．极大地提高了测量精度．进一步拓宽了超短脉冲在物理、生物、化学以及超高速光纤通信等领域的应用范围.     

利用双光栅Lau效应测量透镜焦距

根据计量光栅的特点，可以利用双光栅效应测量透镜焦距．本文简述了利用双光栅Lau效应测量透镜焦距的实验原理、实验装置及测量方法，并计算了测量结果的不确定度．     

Embedding Quantum Mechanics into an Objective Framework

An elementary model is given which shows how an objective (hence local and noncontextual) picture of the microworld can be constructed without conflicting with quantum mechanics (QM). This contradicts known no-go theorems, which however do not hold in the model, and supplies some suggestions for a broader theory in which QM can be embedded.     

Symmetry of Links and Classification of Lens Spaces

We give a concise proof of a classification of lens spaces up to orientation-preserving homeomorphisms. The chief ingredient in our proof is a study of the Alexander polynomial of 'symmetric' links in S ³.     

衍射微透镜列阵的研究与应用

本文研究了衍射微透镜列阵的设计与制作工艺方法，在此基础上研制出一系列衍射微透镜列阵，衍射效率均大于８５％，在深紫外、可见及红外波前传感器中得到了成功应用。     

An Outer Approximation Algorithm for Generating All Efficient Extreme Points in the Outcome Set of a Multiple Objective Linear Programming Problem

Various difficulties have been encountered in using decision set-based vector maximization methods to solve a multiple objective linear programming problem (MOLP). Motivated by these difficulties, some researchers in recent years have suggested that outcome set-based approaches should instead be developed and used to solve problem (MOLP). In this article, we present a finite algorithm, called the Outer Approximation Algorithm, for generating the set of all efficient extreme points in the outcome set of problem (MOLP). To our knowledge, the Outer Approximation Algorithm is the first algorithm capable of generating this set. As a by-product, the algorithm also generates the weakly efficient outcome set of problem (MOLP). Because it works in the outcome set rather than in the decision set of problem (MOLP), the Outer Approximation Algorithm has several advantages over decision set-based algorithms. It is also relatively easy to implement. Preliminary computational results for a set of randomly-generated problems are reported. These results tangibly demonstrate the usefulness of using the outcome set approach of the Outer Approximation Algorithm instead of a decision set-based approach. This revised version was published online in July 2006 with corrections to the Cover Date.