地理坐标与直角坐标相互转换的算法

通过对地理坐标与地面直角坐标相互转换原理的分析 ,论述了坐标转换和算法研究及实现方法。此方法具有良好的精确性和实时性 ,完全能够满足军事领域应用的需要。     

Rendezvous search when marks are left at the starting points

Leaving marks at the starting points in a rendezvous search problem may provide the players with important information. Many of the standard rendezvous search problems are investigated under this new framework which we call markstart rendezvous search. Somewhat surprisingly, the relative difficulties of analysing problems in the two scenarios differ from problem to problem. Symmetric rendezvous on the line seems to be more tractable in the new setting whereas asymmetric rendezvous on the line when the initial distance is chosen by means of a convex distribution appears easier to analyse in the original setting. Results are also obtained for markstart rendezvous on complete graphs and on the line when the players' initial distance is given by an unknown probability distribution. © 2001 John Wiley & Sons, Inc. Naval Research Logistics 48: 722–731, 2001     

Scheduling stochastic jobs with asymmetric earliness and tardiness penalties

We consider a stochastic counterpart of the well-known earliness-tardiness scheduling problem with a common due date, in which n stochastic jobs are to be processed on a single machine. The processing times of the jobs are independent and normally distributed random variables with known means and known variances that are proportional to the means. The due dates of the jobs are random variables following a common probability distribution. The objective is to minimize the expectation of a weighted combination of the earliness penalty, the tardiness penalty, and the flow-time penalty. One of our main results is that an optimal sequence for the problem must be V-shaped with respect to the mean processing times. Other characterizations of the optimal solution are also established. Two algorithms are proposed, which can generate optimal or near-optimal solutions in pseudopolynomial time. The proposed algorithms are also extended to problems where processing times do not satisfy the assumption in the model above, and are evaluated when processing times follow different probability distributions, including general normal (without the proportional relation between variances and means), uniform, Laplace, and exponential. © 1997 John Wiley & Sons, Inc. Naval Research Logistics 44, 531–557, 1997.     

离散搜索力的最优配置模型及增量搜索计划

目前,离散搜索正越来越普遍地应用于各种搜索实践。为了优化搜索过程,提高离散搜索的效率,应用最优搜索理论,导出了待搜目标服从均匀分布、正态分布时离散搜索力的最优配置模型、目标的踪迹预测方法和最优增量搜索计划的求法,并通过实例作了演示,上述结论和方法为离散搜索力如何实施最优搜索提供了一定的理论依据。     

基于随机搜索策略的中继卫星调度方法

高质量的调度方案不仅能满足用户的需求,还能为中继卫星系统的计划编制提供科学的决策手段和依据。针对日益多样化的用户需求,采用全新的中继卫星调度应用模式,允许用户提交多个可以滑动的时间窗口。面向这种调度模式,考虑中继业务中任务调度的灵活性和任务间的冲突,构建考虑多滑动窗口的中继卫星调度模型,并设计基于随机搜索策略的中继卫星调度算法。算法包括任务资源匹配与邻域生成、可用时间段生成、任务冲突分析、邻域搜索与冲突消解以及资源与任务集更新5个算子。通过仿真实验将该算法与基于时间自由度的启发式算法进行对比,验证了算法的有效性。     

带有活动收益不确定特征的成像侦察卫星调度问题

根据区域目标的侦察需求,研究了面向区域目标的多星调度问题。分析了调度问题中活动收益不确定特征,讨论了活动收益的上下界。针对收益不确定的特点,设计了影响力指标用于评估活动对调度方案的影响。基于活动影响力与执行时间设计了一种带局部诱导的禁忌搜索算法,采用分层次的、变评价函数机制引导求解过程趋向多目标优化,在优先提高覆盖率的同时兼顾减少资源消耗。最后,以算例验证了算法的有效性,并通过方案比较说明算法具有较好的寻优能力。     

调运问题中基于栅格模型的快速路径规划方法

针对调运路径规划这一问题,采用栅格模型表示环境地图,通过设定路径搜索方向权重,剔除不必要的搜索区域,提高了搜索效率.仿真结果表明,该算法能有效地提高路径搜索效率,并能搜索到最优路径.     

基于遗传算法的湿陷性黄土地基灰土挤密桩优化设计

利用Visual C＋＋语言,定义了一个面向对象的基于实数编码遗传算法类。运用可最大限度保证遗传算法搜索到问题的全局最优解的深度搜索策略,编制了灰土挤密桩的优化设计和造价估算遗传算法程序,并针对兰州某地灰土挤密桩复合地基进行了计算分析,并与原有方案比较,结果表明：两种优化方案在满足承载力和变形的条件下,在降低造价成本方面优势非常明显。     

舰机协同海上搜寻关键问题研究?

直升机应用于海上搜救可以大大提高搜救速度和成功率。针对水面舰船和直升机的使用特点,分析了在海上搜救中实施舰机协同的必要性,研究了直升机在水面舰船协同下实施海上搜寻的搜寻方式,建立了直升机与舰船协同机动的数学模型,对实际的海上搜寻工作具有较高的实用价值。     

The solution to an open problem for a caching game

In a caching game introduced by Alpern et al. (Alpern et al., Lecture notes in computer science (2010) 220–233) a Hider who can dig to a total fixed depth normalized to 1 buries a fixed number of objects among n discrete locations. A Searcher who can dig to a total depth of h searches the locations with the aim of finding all of the hidden objects. If he does so, he wins, otherwise the Hider wins. This zero‐sum game is complicated to analyze even for small values of its parameters, and for the case of 2 hidden objects has been completely solved only when the game is played in up to 3 locations. For some values of h the solution of the game with 2 objects hidden in 4 locations is known, but the solution in the remaining cases was an open question recently highlighted by Fokkink et al. (Fokkink et al., Search theory: A game theoretic perspective (2014) 85–104). Here we solve the remaining cases of the game with 2 objects hidden in 4 locations. We also give some more general results for the game, in particular using a geometrical argument to show that when there are 2 objects hidden in n locations and n→∞, the value of the game is asymptotically equal to h/n for h≥n/2. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 23–31, 2016