带梯子的曲折线上的最短树问题

Abstract. In this paper,Steiner minimal trees for point sets with special structure are studied.These sets consist of zigzag lines and equidistant points lying on them.     

用远场法研究自由旋气动窗口的光学特性

 采用He-Ne激光,对穿过自由旋气动窗口的远场聚焦光斑进行图象采集和数据处理,研究本气动窗口对透过其输出通道的激光束所带来的偏转和随机抖动现象,计算分析气动窗口对激光束发散特性的影响,定义和实验研究气动窗口的光束质量β因子。同时,分析讨论气动窗口对激光束远场聚焦光斑光强分布的影响,并提出气动窗口光束质量和气动窗口设计的进一步研究思路。     

多孔扩散型消声器外壳对其性能影响的研究

多孔扩散型消声器由于其体积小、消声性能高而广泛应用到排气噪声的降低上,其外壳对消声器的消声性能具有重要作用。本文对此类消声器外壳的孔型、孔径和孔距以及外壳同消声材料的配合方面进行了细致的实验研究,特别对外壳与消声材料的配合与其排放噪声以及外部流场之间的关系进行了探讨,得到了一些有用的结论,对消声器性能的提高具有一定指导意义。     

TIME-DOMAIN VOLUME INTEGRAL EQUATION FOR TRANSIENT SCATTERING FROM INHOMOGENEOUS OBJECTS-2D TM CASE

This letter proposes a time-domain volume integral equation based method for analyzing the transient scattering from a 2D inhomogeneous cylinder by involking the volume equivalence principle for the transverse magnetic case. This integral equation is solved by using an MOT scheme. Numerical results obtained using this method agree very well with those obtained using the FDTD method.     

药筒发射应力和抽壳力的有限元分析

应用非线性有限元方法计算药筒的发射应力和抽壳力。结构分析分别采用轴对称和三维有限元计算模型。分析表明 :由于起膛线的作用 ,轴对称模型有比较大的误差。计算数据表明 :由于药筒为薄壁圆筒结构 ,膛压的作用导致药筒内部较高的等效应力和塑性变形 ;特别是膛压下降时 ,身管的收缩又使得药筒受到反向压力作用而再次屈服 ,并使等效应力达到最大值 ,并且维持在一个常值。因此抽壳力是必要的 ,而且开栓时间对抽壳力的影响很小。讨论了初始间隙等因素对发射应力和抽壳力的影响。     

临界情形下的全局拓扑线性化

非线性系ｘ＇＝Ａｘ＝ｆ（ｘ）线性化的基本条件是Ａ的特征根实部异于零．经典线性化的结论只限于原点小邻域［１］．后改进为全局性的［２,３］,但要求ｆ（ｘ）有界．在文［４］中我们去掉了ｆ（ｘ）有界的限制．本文将进一步去掉Ａ的特征根实部异于零的限制,证明了,只要ｆ（ｘ）有适当结构,全局线性化仍是可能的．     

Solving a chemical batch scheduling problem by local search

In this paper the following chemical batch scheduling problem is considered: a set of orders has to be processed on a set of facilities. For each order a given amount of a product must be produced by means of chemical reactions before a given deadline. The production consists of a sequence of processes whereby each process has to be performed by one facility out of a given subset of facilities allowed for this process. The processing times depend on the choice of the facility and the processing is done in batch mode with given minimum and maximum sizes. The problem is to assign the processes to the facilities, splitting them into batches, and scheduling these batches in order to produce the demands within the given deadlines. For the scheduling part of the problem we present an approach based on the following steps. First, a procedure to calculate the minimum number of batches needed to satisfy the demands is presented. Based on this, the given problem is modeled in two different ways: as a general shop scheduling problem with set-up times or as scheduling problem with positive time-lags. Finally, a two-phase tabu search method is presented which is based on the two different formulations of the problem. The method is tested on some real world data. This revised version was published online in June 2006 with corrections to the Cover Date.     

Landau problem in noncommutative quantum mechanics

The Landau problem in non-commutative quantum mechanics (NCQM) is studied.First by solving the Schr(o)dinger equations on noncommutative (NC) space we obtain the Landau energy levels and the energy correction that is caused by space-space noncommutativity.Then we discuss the noncommutative phase space case,namely,space-space and momentum-momentum non-commutative case,and we get the explicit expression of the Hamfltonian as well as the corresponding eigenfunctions and eigenvalues.     

工件的运输和继列分批加工协作排序问题

近年来,工件的运输和加工协作排序问题在物流和供应链管理领域得到广泛关注. 讨论了先用 $\ m$ 台车辆将工件从等待区域运输到继列分批处理机处, 再进行分批加工的协作排序问题, 加工一批工件需要支付一定的费用, 目标为最小化工件的总完工时间与批的加工费用之和. 在工件的加工时间都相等的情况下, 如果工件运输方案确定, 给出了多项式时间的动态规划算法; 如果工件运输方案不确定, 证明了该问题是{\, NP}-难的, 给出了车辆返回时间 $\ t=0$ 时, 最差性能比等于 $\ 2-\frac{1}{m}$ 的近似算法.     

基于粗糙集的CBR系统案例特征属性优化算法研究

提出了一种基于粗糙集理论和可辨识矩阵的改进型特征属性优化算法。该算法能更好地融入特征属性的背景知识和专家的经验知识,提高了案例检索效率。同时给出了该方法在通信装备故障诊断系统中的应用实例,验证了其有效性和准确性。