Northwest corner and banded matrix approximations to a Markov chain

In this paper, we consider approximations to discrete time Markov chains with countably infinite state spaces. We provide a simple, direct proof for the convergence of certain probabilistic quantities when one uses a northwest corner or a banded matrix approximation to the original probability transition matrix. © 1999 John Wiley & Sons, Inc. Naval Research Logistics 46: 187–197, 1999     

Locating a target from directional data

Statistical estimation plays an important role in locating a target in space, a task that has important applications in many areas. However, theoretical measures on the quality of various estimators reported in the literature have been difficult to obtain because of mathematical complications. As a result, choice of estimator in practice has been largely arbitrary. In this paper, we present a systematic study on major target estimators reported in the literature. Focus is on comparisons between the traditional angle method, the line method, and a recently developed line-to-point transformation method. Insights gained from the study directly lead to the development of a novel two-stage angle method that not only produces highly accurate target estimation among all known estimators but is also computationally efficient. © 1998 John Wiley & Sons, Inc. Naval Research Logistics 45: 353–364, 1998     

Minimizing total completion time in two-processor task systems with prespecified processor allocations

We consider the problem of scheduling multiprocessor tasks with prespecified processor allocations to minimize the total completion time. The complexity of both preemptive and nonpreemptive cases of the two-processor problem are studied. We show that the preemptive case is solvable in O(n log n) time. In the nonpreemptive case, we prove that the problem is NP-hard in the strong sense, which answers an open question mentioned in Hoogeveen, van de Velde, and Veltman (1994). An efficient heuristic is also developed for this case. The relative error of this heuristic is at most 100%. © 1998 John Wiley & Sons, Inc. Naval Research Logistics 45: 231–242, 1998     

高超声速再入轨迹跟踪控制的微分变换方法

针对多约束条件下高超声速飞行器再入制导问题,提出一种基于微分变换法求解最优反馈控制的全状态标准轨迹跟踪制导律。利用滚动时域控制方法设计易于在线执行的闭环跟踪制导策略,在每个制导周期内将标准轨迹跟踪问题转化为线性时变系统状态调节器问题,并通过最优控制理论进一步转化为两点边值问题,采用微分变换法进行求解获得最优反馈控制律。数值仿真表明微分变换法的引入有效解决了传统两点边值问题求解的数值不稳定性与耗时问题,所设计的闭环制导律对状态偏差与模型不确定性具有较强的鲁棒性,可为工程设计提供有益参考。     

2K-H 行星传动的极限传动比

在行星轮系机构综合中,研究行星轮数目与极限传动比的关系有着极其重要的意义。本文根据２Ｋ─Ｈ行星轮系机构的同心条件、安装条件和邻接条件,采用统一的符号,对满足上述条件的所有（六种）２Ｋ─Ｈ行星轮系机构,导出了行星轮个数与极限传动比的统一关系式,得到了所有２Ｋ─Ｈ行星轮系机构的极限传动比计算公式,为２Ｋ─Ｈ行星轮系机构的综合提供了理论根据。     

制氢过程中一氧化碳氧化反应速率控制的平滑切换方法

铂族金属催化剂CO氧化过程呈现较为复杂的本质非线性属性,如反应速率突变、双稳定性和迟滞,这些本质非线性属性取决于化学反应内在的稳定性和自组织机制,所产生的一个外在结果是CO氧化反应速率与控制参数之间呈现出路径依赖的输入输出关系。对这类系统采用传统的线性控制方法具有固有的不稳定机制,可以导致化学反应速率的震荡以及控制系统的失稳;而采用常规非线性切换控制则面临在切换初始时刻所具有的大干扰问题,较大地影响控制系统的动态性能甚至稳定性。针对研究所面临的这种大干扰问题,提出基于积分初值重置的平滑切换控制方法予以解决。结果表明,所提出的方法能够从原理上解决CO氧化反应控制过程的平滑切换问题,较好地提高控制系统的动态性能。     

Transactional and in-store display data of a large supermarket for data-driven decision-making

This article describes daily and monthly transactional and in-store display data of a large supermarket from January to October in 2019 associated with 28 757 stock-keeping units (SKUs) in 5 categories and 41 subcategories. The database contains five parts, including information about each SKU, in-store display, daily sales, inventory, and replenishment. We also propose some research questions related to assortment planning, pricing, inventory management, and customer behavior. Researchers are welcome to develop data-driven models or other innovative methods to address these questions or other practical problems using this database.     

低速大雷诺数混合飞艇气动性能分析

针对混合飞艇体积巨大同时气动外形复杂使得现有条件的风洞试验很难精确测量其气动性能的问题,开展了适用于混合飞艇气动性能分析的计算流体力学(CFD)的数值分析方法研究。考虑混合飞艇低速大雷诺数的特点,将变分多尺度方法 (VMS)与动态Smagorinsky大涡模拟(LES)模型相结合,提出了组合的VMSLES湍流模型。将基于RANS方法和LES方法的其他三种湍流模型相对比,利用雷诺数相近、实验数据丰富的6:1长椭球飞艇对不同的湍流模型进行了对比验证。结果显示LES方法预测结果与实验结果吻合较好,优于RANS方法,并能显示更多流动细节,而组合的VMS-LES模型能够更精确地捕获实验研究中观察到的二次涡。利用组合的VMS-LES模型对有翼HAV与多囊瓣HAV进行了气动性能分析,并研究了不同部件对飞艇气动特性的影响。结果表明,由于尾翼表面产生的一次涡与二次涡相互作用,尾翼在增加气动升力的同时也增加了阻力。     

侵爆弹对框架类建筑物毁伤效果评估研究

为研究侵爆弹对框架类建筑物的毁伤效果,利用LS-DYNA有限元程序对单枚侵爆弹打击四层五跨建筑物进行了数值模拟。该程序利用流固耦合算法来模拟炸药对建筑物的毁伤,为了验证该算法的有效性,进行了房屋内爆炸试验和试验原型数值模拟,房屋内爆炸试验结果与数值模拟结果吻合,验证了该方法的合理性。利用该程序对侵爆弹打击四层五跨建筑物进行了数值模拟,结果表明炸点在第2层走廊中心时建筑物毁伤等级为中度毁伤,为目标毁伤效果评估工作提供了一定的参考。     

可靠度限制下相控阵雷达天线阵面T/R单元维修模型

为了描述维修活动对相控阵雷达天线阵面系统的影响,构建了以可靠度为基础的“修旧不如新”定期维修优化模型。对相控阵雷达T/R单元失效下的天线性能参数进行分析,根据指标确定系统不能正常工作的失效T/R单元阈值; 针对大部分维修活动都难以使T/R单元修复如新的事实,引入失效率递增因子,在系统一定的可靠度水平上,以相控阵雷达系统的使用可用度和维修费用率为优化决策参数,建立了系统的维修优化模型,并运用边际效能算法对系统的最佳预防换件维修周期和换件维修组数量进行求解。实例运算结果表明,该模型突破了已有模型“修旧如新”的限制条件,更符合实际,能为维修策略的制定提供理论依据。