Modeling and analysis of a mixed‐model assembly line with stochastic operation times

We consider a mixed‐model assembly line (MMAL) comprised a set of workstations and a conveyor. The workstations are arranged in a serial configuration. The conveyor moves at a constant speed along the workstations. Initial units belonging to different models are successively fed onto the conveyor, and they are moved by the conveyor to pass through the workstations to gradually generate final products. All assembling tasks are manually performed with operation times to be stochastic. An important performance measure of MMALs is overload times that refer to uncompleted operations for operators within their work zones. This paper establishes a method to analyze the expected overload times for MMALs with stochastic operation times. The operation processes of operators form discrete time nonhomogeneous Markov processes with continuous state spaces. For a given daily production schedule, the expected overload times involve in analyzing the Markov processes for finite horizon. Based on some important properties of the performance measure, we propose an efficient approach for calculating the expected overload times. Numerical computations show that the results are very satisfactory. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

求截交线与相贯线的新方法

类似性法、近似对抗性法是笔者归纳的求解截交线、相贯线的一种实用方法,使学生在求对截交线、相贯线之前即可判断答案图形及投影特点,并能验证结果的正确性,提高了学生解题的正确率.     

"黑箱”子网络单子网络故障的在线诊断

故障在线诊分析了测试点电压增量与故障子网络空间的关系,提出了将测试点电压增量投影到子网络空间定位故障子网络的方法.该方法仅需一次测试结果,且不依赖于子网络内的结构和参数,故可用于"黑箱”子网络的故障诊断.     

The effectiveness of the longest delivery time rule for the flow shop delivery time problem

In the flow shop delivery time problem, a set of jobs has to be processed on m machines. Every machine has to process each one of the jobs, and every job has the same routing through the machines. The objective is to determine a sequence of the jobs on the machines so as to minimize maximum delivery completion time over all the jobs, where the delivery completion time of a job is the sum of its completion time, and the delivery time associated with that job. In this paper, we prove the asymptotic optimality of the Longest Delivery Time algorithm for the static version of this problem, and the Longest Delivery Time among Available Jobs (LDTA) algorithm for the dynamic version of this problem. In addition, we present the result of computational testing of the effectiveness of these algorithms. © 2003 Wiley Periodicals, Inc. Naval Research Logistics, 2003     

一种直线段匹配的新方法

直线特征在人造目标和环境中普遍存在,直线段的匹配是三维重建等应用领域的首要解决问题.一般单直线的匹配方法难以解决被部分遮挡直线的匹配问题,提出了一种基于极线约束和RANSAC算法的匹配方法.对直线段上的点运用基于极线约束的匹配方法在另一幅图像中进行点的同名匹配,采用RANSAC算法建立直线模型,剔除野值,得到匹配直线段.本方法能有效地解决图像中被部分遮挡直线段的匹配问题,仿真实验和实际图像实验证实了本算法的正确性和高精度.     

基于复合左右手传输线90°移相器的设计

复合左右手传输线的提出在无线通讯领域将有很大的应用前景,也为微波传输线和微波元件的设计提供了一种新思路.根据复合左右手传输线的相位特性及频带展宽原理设计了一个90°移相器,该移相器理论上可以实现L波段从f_1到f_2的90°移相.相对带宽为31%,工作频带内的绝对误差在±3°以内.仿真结果表明,基于复合左右手传输线的90°移相器能够实现宽带内的移相,且效果比较明显.实际电路也比较吻合仿真电路,达到理想的要求.     

A quasi-isentropic model of a cylinder driven by aluminized explosives based on characteristic line analysis

A quasi-isentropic study on the process of driving a cylinder with aluminized explosives was carried out to examine the influence of the aluminum (Al) reaction rate on cylinder expansion and the physical parameters of the detonation products. Based on the proposed quasi-isentropic hypothesis and relevant isentropic theories, the characteristic lines of aluminized explosives driving a cylinder were analyzed, and a quasi-isentropic model was established. This model includes the variation of the cylinder wall velocity and the physical parameters of the detonation products with the Al reaction degree. Using previously reported experimental results, the quasi-isentropic model was verified to be applicative and accurate. This model was used to calculate the physical parameters for cylinder experiments with aluminized cyclotrimethylenetrinitramine explosives with 15.0 % and 30.0 % Al content. The results show that this quasi-isentropic model can be used not only to calculate the cylinder expansion rule or Al reaction degree, but also to calculate the physical parameters of the detonation products in the process of cylinder expansion. For explosives with 15.0 % and 30.0 % Al, 24.3 % and 18.5 % of the Al was found to have reacted at 33.9 μs and 34.0 μs, respectively. The difference in Al content results in different reaction intensity, occurrence time, and duration of two forms of reaction (diffusion and kinetic) between the Al powder and the detonation products; the post-detonation burning reaction between the Al powder and the detonation products prolongs the positive pressure action time, resulting in a continuous rise in temperature after detonation.     

一种鱼雷自导信号频率检测方法研究

靶场在进行智能鱼雷鉴定试验任务时,实时准确地检测出鱼雷自导信号的频率成分是靶标信号处理中的重要环节,谱线比值法便是靶标进行信号处理时检测信号频率的一种有效方法。本文介绍了谱线比值法的基本原理,针对目前鱼雷自导信号特点,对该方法提出了改进方案并进行了仿真。仿真结果表明,经改进的谱线比值法能够满足靶标检测复杂鱼雷自导信号体制下信号频率的使用要求。     

基于倾斜开关曲线的小推力器姿态控制方法分析与准极限环控制方法

研究了利用小推力器进行航天器姿态控制问题。从理论上推导了在给定姿态控制精度、小推力器参数以及倾斜开关曲线参数的前提下,能够形成理想极限环控制效果的充分必要条件。对相关文献中倾斜开关曲线设计方法不能形成理想极限环的情况进行了理论分析,提出了一种新的基于倾斜开关曲线的准极限环控制方法,并推导了其控制精度。研究对于航天器应用小推力器实现高精度姿态控制具有较大的工程应用价值。     

磁绝缘传输线阴极准直建模与仿真

大型脉冲功率装置的磁绝缘传输线(Magnetically Insulated Transmission Line, MITL)阴极长度可达十余米,在悬臂结构下由于重力引起的末端挠度变形将达数厘米。如果不进行准直,由此造成的阴阳极间隙误差可能引起较明显的电流损失。借鉴HermesⅢ装置基于倾斜垫片的直线度调节方案,设计了用于准直原理验证的Mini-MITL阴极。根据阴极圆筒尺寸参数、倾斜垫片设计参数以及倾斜垫片旋转角度,建立了阴极筒关键节点坐标的数值模型,得到竖直和水平方向的理论修正坐标。作为验证,在SolidWorks环境中建立坐标测量参考基准,得到的三维仿真坐标与数值建模坐标具有较好的一致性。基于SolidWorks Simulation对阴极的重力变形进行了仿真,根据仿真结果调整倾斜垫片的相对旋转角度,修正竖直方向挠度的同时兼顾水平方向直线度,在该策略下的竖直和水平方向准直误差均低于阈值。在离散调节策略的基础上进行了连续可调的改进优化,改进后的准直精度得到进一步提升。