Capacity investment decisions under risk aversion

This article studies the optimal capacity investment problem for a risk‐averse decision maker. The capacity can be either purchased or salvaged, whereas both involve a fixed cost and a proportional cost/revenue. We incorporate risk preference and use a consumption model to capture the decision maker's risk sensitivity in a multiperiod capacity investment model. We show that, in each period, capacity and consumption decisions can be separately determined. In addition, we characterize the structure of the optimal capacity strategy. When the parameters are stationary, we present certain conditions under which the optimal capacity strategy could be easily characterized by a static two‐sided (s, S) policy, whereby, the capacity is determined only at the beginning of period one, and held constant during the entire planning horizon. It is purchased up to B when the initial capacity is below b, salvaged down to Σ when it is above σ, and remains constant otherwise. Numerical tests are presented to investigate the impact of demand volatility on the optimal capacity strategy. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 218–235, 2016     

On the polyhedral structure of two‐level lot‐sizing problems with supplier selection

In this article, we study a two‐level lot‐sizing problem with supplier selection (LSS), which is an NP‐hard problem arising in different production planning and supply chain management applications. After presenting various formulations for LSS, and computationally comparing their strengths, we explore the polyhedral structure of one of these formulations. For this formulation, we derive several families of strong valid inequalities, and provide conditions under which they are facet‐defining. We show numerically that incorporating these valid inequalities within a branch‐and‐cut framework leads to significant improvements in computation. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 647–666, 2017     

Scheduling parallel machines with inclusive processing set restrictions and job rejection

In this article, we study a parallel machine scheduling problem with inclusive processing set restrictions and the option of job rejection. In the problem, each job is compatible to a subset of machines, and machines are linearly ordered such that a higher‐indexed machine can process all those jobs that a lower‐indexed machine can process (but not conversely). To achieve a tight production due date, some of the jobs might be rejected at certain penalty. We first study the problem of minimizing the makespan of all accepted jobs plus the total penalty cost of all rejected jobs, where we develop a ‐approximation algorithm with a time complexity of . We then study two bicriteria variants of the problem. For the variant problem of minimizing the makespan subject to a given bound on the total rejection cost, we develop a ‐approximation algorithm with a time complexity of . For the variant problem of maximizing the total rejection cost of the accepted jobs subject to a given bound on the makespan, we present a 0.5‐approximation algorithm with a time complexity of . © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 667–681, 2017     

基于改进快速扩展随机树的机械臂路径规划

针对机械臂路径规划问题,提出一种基于改进RRT算法的路径规划方法。改进RRT结合了目标偏置策略和贪婪生长策略的优点,在随机采样时,以一定概率使采样点偏置为目标节点,降低随机采样的盲目性,在目标节点方向上采用贪婪式扩展策略,增加随机树局部方向上的生长速度。RRT法规划路径结果并非最优,提出改进GPP法删除多余路径节点,优化机械臂运动路径。通过与Biased-RRT和Greedy-RRT数值仿真结果对比,证明了改进RRT在计算时间、迭代次数、扩展节点数上均优于以上方法。在机械臂两种典型工作环境中的仿真结果表明,使用该方法可以较好解决排爆机械臂避障路径规划问题。     

虚拟射击试验中的航迹融合方法

针对高炮武器系统虚拟射击试验中存在的航迹融合问题,研究了航迹在虚拟射击试验中的融合方法。分别通过虚实资源静态分析和动态分析,明确了试验中各试验要素内涵和虚实资源间信息交互的内容。由于虚实资源间交互的信息内容不同,易产生数据格式、信息理解等方面的不一致,且集中表现在数据处理上。因此,从空间一致性维护和时间一致性维护两个方面,给出了航迹在虚拟射击试验中的融合方法。     

基于势场启发蚁群算法的远程水中兵器航路规划

针对航行误差较大的远程水中兵器航路规划问题,采用栅格化方法建立海洋环境模型,为使兵器在航行过程中能有效规避障碍并导向目标,提出一种人工势场力为启发因子的改进蚁群算法,利用该方法搜索远程水中兵器从起始点至目标点的最佳路径,算法解决了经典蚁群算法容易陷入局部最优及收敛速度慢的问题。仿真结果表明该规划算法虽有少量的路径损失,但可以有效避免由于误差引起的航行安全问题,是一种有效的远程水中兵器航路规划方法。     

舰载对陆巡航导弹规划航路点间距离的计算分析

针对舰载对陆巡航导弹在实际飞行中,其航迹需要参考近似大地线的航线,在充分考虑导弹由海对陆的航路规划过程基础上,提出了易于编程、精度有所改进的空间两点间大地距离的计算方法。该方法在考虑高程的地球椭球模型参数的求取基础上,利用Bowring反解公式重新推导了顾及高程的空间航路点间的计算公式。相关算例表明,该方法提高了导弹规划航路点间距离的计算精度且易于工程实现。     

核裂变过程动态模拟计算的动力学系数

本文利用(c,h,a)三参数旋转体模型计算了形变核的相对表面能、相对库仑能及相对转动能。这些相对能量与具体核无关,具有普适性,可以用于核裂变动态过程的模拟计算。利用这些结果,计算了一些核的形变位能随三参数变化的情况,给出了裂变位垒高度,与实验结果符合较好。对~(236)U的形变位能曲面作了较详细的分析,得出一些有益的结论。用Werner—Wheeler方法计算了形变核的惯性质量和粘滞张量随三参数变化情况,对断点线方程作了深入讨论,为核裂变动态过程的计算机模拟准备了必要的系数。     

A heuristic for maximizing the number of on‐time jobs on two uniform parallel machines

We consider the problem of maximizing the number of on‐time jobs on two uniform parallel machines. We show that a straightforward extension of an algorithm developed for the simpler two identical parallel machines problem yields a heuristic with a worst‐case ratio bound of at least . We then show that the infusion of a “look ahead” feature into the aforementioned algorithm results in a heuristic with the tight worst‐case ratio bound of , which, to our knowledge, is the tightest worst‐case ratio bound available for the problem. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006     

时序电路测试中敏化路径选择研究

时序电路测试产生过程中,在进行敏化路径选择时会遇到失败问题.本文针对迭代组合阵列模型测试中产生的这些问题进行了有益的探讨,并提出了改进的时序电路测试产生算法,使之更加完善.