舰载跟踪雷达捕获概率分析

论述了舰载跟踪雷达捕获概率的分析与计算方法,给出了影响跟踪雷达照准概率的误差环节,并对搜索雷达稳定平台的隔离剩余误差作了较详尽的分析。     

基于PDA-UKF的杂波环境下单目标跟踪算法

提出将概率数据关联算法和不敏卡尔曼滤波相结合,用于杂波环境下的单目标跟踪。该算法同时解决了测量方程非线性情况下的滤波问题和杂波环境下的目标跟踪问题。给出了PDA-UKF算法的仿真过程,提供了一个基于距离、方位角、俯仰角的目标跟踪问题的仿真算例。理论分析与仿真结果均表明,该算法提高了滤波的稳定性和跟踪的精确性,具有较高的实用价值和广泛的应用前景。     

Untruthful probabilistic demand forecasts in vendor‐managed revenue‐sharing contracts: Coordinating the chain

Vendor‐managed revenue‐sharing arrangements are common in the newspaper and other industries. Under such arrangements, the supplier decides on the level of inventory while the retailer effectively operates under consignment, sharing the sales revenue with his supplier. We consider the case where the supplier is unable to predict demand, and must base her decisions on the retailer‐supplied probabilistic forecast for demand. We show that the retailer's best choice of a distribution to report to his supplier will not be the true demand distribution, but instead will be a degenerate distribution that surprisingly induces the supplier to provide the system‐optimal inventory quantity. (To maintain credibility, the retailer's reports of daily sales must then be consistent with his supplied forecast.) This result is robust under nonlinear production costs and nonlinear revenue‐sharing. However, if the retailer does not know the supplier's production cost, the forecast “improves” and could even be truthful. That, however, causes the supplier's order quantity to be suboptimal for the overall system. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

静态初始条件下的歼击机中距攻防引导方法决策

在静态初始条件下,歼击机中距攻防引导方法的选择是一个定性与定量相结合的类别划分问题,因此,将粗糙集理论与概率神经网络相结合用于该问题的解决。首先,利用粗糙集理论实现专家知识约简、空战态势信息集压缩,得到最小决策信息集;其次,利用概率神经网络进行概率决策推理;最后,通过实例分析,结果表明决策推理正确,在不确定环境下仍然有效,提高了决策过程的自动化程度。     

基于概率图模型的海上多目标跟踪

针对海上复杂环境中多运动目标跟踪问题,提出了一种融合概率图模型和粒子滤波的跟踪方法.该方法采用二元马尔可夫随机场构建多目标模型,利用势函数表示其联合概率分布,最后用变差分法和粒子滤波推理后验概率密度.通过二阶回归模型准确构建状态转移方程,以及Mean-Shift迭代加速粒子采样,提高了算法精确度和运行效率.实验表明:该方法能很好地实现海上复杂环境中的多目标实时跟踪.     

一种可实现TF/TA2的无人飞行器三维航迹规划方法

从规划空间的有效表达着手对无人飞行器三维航迹规划展开研究,基于地形和威胁提出的飞行器航迹规划方法将航迹规划分为学习阶段和查询阶段,环境信息和飞行器的大部分约束条件结合在路线图的构造过程中,航迹搜索在此路线图中进行并最终实现全部约束条件.试验结果显示,该方法可以实时获得实现TF/TA2的三维航迹.     

Probabilistic analysis of an asymptotically optimal solution for the completion time variance problem

Scheduling a set of n jobs on a single machine so as to minimize the completion time variance is a well‐known NP‐hard problem. In this paper, we propose a sequence, which can be constructed in O(n log n) time, as a solution for the problem. Our primary concern is to establish the asymptotical optimality of the sequence within the framework of probabilistic analysis. Our main result is that, when the processing times are randomly and independently drawn from the same uniform distribution, the sequence is asymptotically optimal in the sense that its relative error converges to zero in probability as n increases. Other theoretical results are also derived, including: (i) When the processing times follow a symmetric structure, the problem has 2^{⌊(n−1)/2⌋} optimal sequences, which include our proposed sequence and other heuristic sequences suggested in the literature; and (ii) when these 2^{⌊(n−1)/2⌋} sequences are used as approximate solutions for a general problem, our proposed sequence yields the best approximation (in an average sense) while another sequence, which is commonly believed to be a good approximation in the literature, is interestingly the worst. © 1999 John Wiley & Sons, Inc. Naval Research Logistics 46: 373–398, 1999     

Evaluating the potential effects from probabilistic selling of similar products

In this article, we consider an online retailer who sells two similar products (A and B) over a finite selling period. Any stock left at the end of the period has no value (like clothes going out of fashion at the end of a season). Aside from selling the products at regular prices, he may offer an additional option that sells a probabilistic good, “A or B,” at a discounted price. Whenever a customer buys a probabilistic good, he needs to assign one of the products for the fulfillment. Considering the choice behavior of potential customers, we model the problem using continuous‐time, discrete‐state, finite‐horizon dynamic programming. We study the optimal admission decisions and devise two scenarios, whose value functions can be used as benchmarks to evaluate the demand induction effect and demand dilution effect of probabilistic selling (PS). We further investigate an extension of the base MDP (Markov Decision Process) model in which the fulfillment of probabilistic sales is uncontrollable by the retailer. A special case of the extended model can be used as a benchmark to quantify the potential inventory pooling effect of PS. Finally, numerical experiments are conducted to evaluate the overall profit improvement, and the effects from adopting the PS strategy. © 2014 Wiley Periodicals, Inc. Naval Research Logistics, 61: 604–620, 2014     

UCAV空面多目标攻击三维轨迹规划技术

研究了单架无人作战飞机(UCAV)攻击多个地面目标的三维轨迹规划问题。首先,将问题形式化为一类特殊的旅行商问题(TSP),即带动力学约束的邻域访问TSP问题(DCTSPN)。其次,针对规划空间维度过高、搜索代价过大的问题,提出了一种基于概率路标图(PRM)的方法。该方法借鉴了基于采样的运动规划方法的思想,并结合多种组合优化技术,将原本连续状态空间中的轨迹规划问题转化为离散拓扑图上的路由问题。求解过程分为离线预处理和在线查询两个阶段。离线阶段采用Halton拟随机采样算法及Noon-Bean转换方法,将原问题转化为经典的非对称旅行商问题(ATSP);在线阶段根据战场态势的实时变化,快速更新路标图,然后采用LKH算法在线求解问题的近似最优解。为了保证生成的飞行轨迹满足平台的运动学/动力学约束,算法基于Gauss伪谱法构建了局部轨迹规划器。最后,以攻击时间最短为优化指标对算法进行了仿真实验。结果表明,本文提出的方法能够以较高的精度和在线收敛速度生成真实可行的、较优的多目标攻击轨迹。