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This article studies two due window scheduling problems to minimize the weighted number of early and tardy jobs in a two‐machine flow shop, where the window size is externally determined. These new scheduling models have many practical applications in real life. However, results on these problems have rarely appeared in the literature because of a lack of structural and optimality properties for solving them. In this article, we derive several dominance properties and theorems, including elimination rules and sequencing rules based on Johnsos order, lower bounds on the penalty, and upper bounds on the window location, which help to significantly trim the search space for the problems. We further show that the problems are NP‐hard in the ordinary sense only. We finally develop efficient pseudopolynomial dynamic programming algorithms for solving the problems. © 2009 Wiley Periodicals, Inc. Naval Research Logistics, 2009 相似文献
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大气层高层作战的动能拦截器多采用侧窗探测的结构布局,侧窗定向方位对其拦截效果有重要的影响,但定向方位的选择却受诸多因素制约.在一定理想化假设的基础上,研究了末段交战过程中视线转率的变化规律,从理论上分析了由侧窗定向产生的攻角对拦截结果的影响,得到了只考虑气动力影响下的最佳定向方位;然后综合考虑气动力、轨控系统、姿控系统的影响,给出了不同作战高度下侧窗定向方位的选择方法.数字仿真结果表明,此种方法能够满足侧窗探测的要求,且在大多数情况下只需一次定向即可完成拦截. 相似文献
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针对以接近甚至超过第二宇宙速度再入地球的登月飞行器制导任务,研究了满足热流、过载、落区等约束的返回舱再入制导律。月球返回舱是低升阻比弹道升力式再入飞行器,控制策略是改变倾侧角的符号和大小。倾侧角大小的确定转化为一个单变量非线性方程求根的问题,倾侧角符号的确定依倾侧反转逻辑来满足横向走廊,其中横向走廊设计成速度的函数。通过综合偏差的Monte Carlo仿真评价制导算法的性能,仿真结果表明制导的纵向标准偏差在30km左右,横向标准偏差小于5km。此外,分析了影响滚转速率的因素,给出了调整反馈增益系数和减小滚转速率及制导精度的关系。 相似文献
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对探月飞行器返回到预期着陆点的轨迹特性进行了研究,着重分析了月球定点返回着陆点和再入点位置的变化规律.分析了返回轨迹特征点的相对位置特性,包括月球反垂点、再入点、近地点,得到了再入点速度、纬度具有变化较稳定的规律.在特征点位置特性研究的基础上,给出了着陆点和再入点位置分析近似方法;基于月相原理研究了着陆点光照条件和月球... 相似文献
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AbstractThis study examines the causal nexus between defence spending and education expenditure in China using the bootstrap Granger full-sample causality test and sub-sample rolling window estimation. The full-sample result indicates that there is no causality between defence spending and education expenditure. By adopting a time-varying rolling window approach to revisit the dynamic causal relationships, this article identifies a negative unidirectional causality running from education expenditure to defence spending. The finding suggests that it is the education expenditure crowds out defence spending in China rather than reverse. No causality is demonstrated from defence spending to education expenditure, indicating that an increase in military spending will not crowd out expenditure on education. The results could be partly explained by that the education expenditure in China is below the requirement of corresponding economic growth, urging for more financial budget. Whereas the findings support a negative trade-off between defence and education expenditures, they refute the theory of ‘guns for butter’. 相似文献
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针对传统分块方法根据经验划分子块导致变量特征信息无法充分利用,其单一的建模方式忽略局部信息以及离线模型无法适应时变特性的问题,提出了一种KL (Kullback-Leibler) 散度多模块滑动窗口慢特征分析方法。在正常工况数据集中,利用KL散度来度量变量间的距离,同时引入最小误差平方和准则进行聚类,分成两个距离最小的子模块;在此基础上利用慢特征分析方法对每个子模块进行建模,结合滑动窗口对每次采样的数据进行更新,得到最优模型,分别计算监测统计信息,利用支持向量数据描述对故障监测结果进行融合,实现故障诊断。并将该方法应用于田纳西伊斯曼过程的监控中,得到了较高的故障检测率和较低的虚警率,验证了该方法的可行性和有效性。 相似文献