A balancing problem for mixed model assembly lines with a paced moving conveyor

We state a balancing problem for mixed model assembly lines with a paced moving conveyor as: Given the daily assembling sequence of the models, the tasks of each model, the precedence relations among the tasks, and the operations parameters of the assembly line, assign the tasks of the models to the workstations so as to minimize the total overload time. Several characteristics of the problem are investigated. A line‐balancing heuristic is proposed based on a lower bound of the total overload time. A practical procedure is provided for estimating the deviation of any given line‐balance solution from the theoretical optimum. Numerical examples are given to illustrate the methodology. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004.     

Walker星座自主定轨误差分析

通过对Walker星座中卫星间的相对运动进行分析,给出星间相对距离的解析表达式及其对轨道根数的偏导数,直观地描述在同轨道面和异轨道面的星间观测对轨道根数变化的体现情况;根据星座中卫星的相对位置,提出合理的约束条件和平差方法,利用星间测距网实现星座的整网定位;通过仿真算例,比较在不同情况下,采用合适的整网定位方法对轨道根数的系统误差和随机误差修正的情况。     

解析法区域覆盖卫星星座设计

对典型卫星星座进行了分析。使用解析方法,以卫星载荷的工作高度范围为约束条件,以有效利用卫星覆盖区域为原则,给出设计区域覆盖卫星星座的详细步骤,得出卫星轨道根数和星座轨道参数。利用卫星工具包(STK)生成卫星星座图。     

多层卫星通信网络结构设计与分析

针对单层卫星网络时延高、网络阻塞概率大等问题,研究了多层卫星网络的系统结构及其特点。结合不同轨道卫星特点,引入分层卫星网络结构,采用Walker和极轨星座覆盖带设计法,设计了多层卫星网络星座。采用"弱连接"模型作为星际链路建立的基本原则,并对星座的覆盖性能和星际链路特性进行了仿真分析,结果表明,多层卫星网络在覆盖特性和星际链路性能上更具优势。     

舰船维修器材保障点选址决策模型及算法

传统的最大覆盖选址模型没有考虑对服务半径外的需求点的满足和服务时间的响应,而在舰船维修器材保障中,不论需求点到保障点的距离是否大于服务半径,都应对其进行保障服务,且在保障过程中要满足保障时间控制在不影响舰船正常维修任务时间内。针对此问题,运用广义最大覆盖选址模型和时间满意度函数,构建基于时间满意的广义最大覆盖选址模型,并运用一种混合算法———基于遗传模拟退火算法的BP算法对模型进行求解。最后,运用该算法对实例进行了分析计算,计算结果验证了该算法的有效性。     

带混合误差的Ishikawa迭代格式

将Ishikawa型迭代格式的收敛性问题推广到带混合误差的Ishikawa型迭代格式的情形 ,同时所用的证明方法和技巧有所改进     

Using stochastic programming to solve an outpatient appointment scheduling problem with random service and arrival times

We study a stochastic outpatient appointment scheduling problem (SOASP) in which we need to design a schedule and an adaptive rescheduling (i.e., resequencing or declining) policy for a set of patients. Each patient has a known type and associated probability distributions of random service duration and random arrival time. Finding a provably optimal solution to this problem requires solving a multistage stochastic mixed‐integer program (MSMIP) with a schedule optimization problem solved at each stage, determining the optimal rescheduling policy over the various random service durations and arrival times. In recognition that this MSMIP is intractable, we first consider a two‐stage model (TSM) that relaxes the nonanticipativity constraints of MSMIP and so yields a lower bound. Second, we derive a set of valid inequalities to strengthen and improve the solvability of the TSM formulation. Third, we obtain an upper bound for the MSMIP by solving the TSM under the feasible (and easily implementable) appointment order (AO) policy, which requires that patients are served in the order of their scheduled appointments, independent of their actual arrival times. Fourth, we propose a Monte Carlo approach to evaluate the relative gap between the MSMIP upper and lower bounds. Finally, in a series of numerical experiments, we show that these two bounds are very close in a wide range of SOASP instances, demonstrating the near‐optimality of the AO policy. We also identify parameter settings that result in a large gap in between these two bounds. Accordingly, we propose an alternative policy based on neighbor‐swapping. We demonstrate that this alternative policy leads to a much tighter upper bound and significantly shrinks the gap.     

用于纯方位目标运动分析的泰勒级数法

以泰勒级数法的理论模型为基础,研究它在纯方位TMA中的应用问题。将泰勒级数法与高斯-牛顿法相结合,得到一种混合泰勒级数法。这种混合方法简单易懂,计算并不复杂。经蒙特卡罗仿真研究,其性能可与高斯-牛顿法相比较,对于有些态势甚至在收敛时间以及解算效果上要优于高斯-牛顿法。算法性能反映在一些典型的TMA态势上。     

基于距离差法目标定位的多站雷达优化布局

多站雷达的布局直接影响距离差法目标定位的精度。首先给出多站雷达系统距离差定位的误差协方差矩阵的表达式和计算方法,然后以误差椭球体积最小为布站优化的目标,讨论了多站平面布局对空间目标定位时的优化布站方法,并在平面优化布局的基础上,推出无约束情况下的最优布局。仿真结果与理论分析一致,该结论可以推广到无源定位系统。     

混合不确定条件下的飞行器级间分离可靠性分析

为量化飞行器级间分离过程随机不确定性和认知不确定性的综合影响,结合概率和区间理论混合模型特点,提出了一种基于随机和区间理论混合模型的飞行器级间分离可靠性分析方法。面向高超声速飞行器分离任务需求,建立分离动力学仿真模型,针对级间分离结构的几何特点,设计了一种快速碰撞检测方法,进而构建了分离任务的可靠性分析混合模型。通 过将该模型转化为随机可靠性分析的无约束优化问题,考虑分离过程中复杂外力及力矩导致功能函数高度非线性的特点,利用高效全局优化和主动学习Kriging方法实现无约束优化问题高效求解。结合实例表明,该方法能够准确描述混合不确定性因素对飞行器分离过程的影响,给出了飞行器分离任务可靠性区间,可为飞行器分离方案的精细化设计提供决策支持。