相依目标群状态转移概率矩阵的特性及其应用

本文对相依目标群的状态转移概率矩阵的性质进行了深入的分析,得到了若干重要结论,并在此基础上讨论了相依目标群系统的火力分配模型     

Allocating the U.S. Department of Defense Budget: Revisiting the ‘Incremental/Fair Share Model’

Abstract

This article examines the ‘incremental/fair share model’ that was proposed by Alex Mintz in 1988 concerning the budget allocation of the U.S. Department of Defense. Although Mintz was unable to confirm the correctness of his model, this study demonstrated it to be statistically significant. In the statistical analyses, I used the two-stage least squares method and Durbin’s h-test to better scrutinize the model’s adequacy. Few previous studies have addressed the allocation of the U.S. defence budget; consequently, the incremental/fair-share model should constitute a starting point for further research on the U.S. defence budget allocation.     

“协同制导通道”基本概念及其应用分析

舰艇编队协同反导作战,是海上网络中心作战的典型样式.针对舰艇编队网络化协同反导作战装备体系特殊性,提出了“协同制导通道”基本概念和数学表示方法,并对基于协同制导通道分配方法运用于网络化反导作战条件下武器资源分配进行了研究.分析了单舰反导作战“武器目标分配”的局限性,网络化反导作战“弹-目匹配”新需求和“协同制导通道”的选择方法,为确定“协同制导通道”选择的最优化指标,提出选择“协同制导通道”优化算法奠定了基础.     

基于多假设跟踪弹道导弹主动段跟踪算法

针对弹道导弹主动段防御中多枚弹道导弹同时跟踪问题,提出了基于多假设思想的主动段跟踪算法.重点阐述了该算法中假设生成、假设概率计算、假设约简以及假设剪枝等环节.从工程实用的角度出发,采用求解一个线性分配问题(LAP)方法得到M个最优假设,大大减少了假设数量,并运用N-scan回溯剪枝方法对假设进行剪枝,确定要输出的航迹,提高了算法的效率和实用性.仿真实验表明,该算法能够对主动段多枚弹道导弹目标准确关联跟踪.     

车载多接入边缘网络中联合资源分配和动态任务卸载方案

针对车联网中车辆移动速度过快产生的任务卸载失败问题,设计了一个有效的任务卸载风险评估模型,并提出了联合资源分配的动态任务卸载方案。将时间、能耗和风险共同建模为系统效用,通过联合优化卸载决策、资源分配来最大化系统效用。优化问题被公式化为混合整数非线性规划,在给定卸载决策的情况下,利用凸优化技术解决计算资源分配问题,功率分配通过分式规划技术来优化。仿真分析了车辆移动性对系统效用的影响,证明了所提方案的合理性。     

面向多最优解组合优化问题的决策求解算法

针对具有固定物品总和、多最优解特征的组合优化问题,以固定总和实数子集问题和购买鸡翅问题为例,给出了这类多最优解组合优化问题的形式化表示。在分析枚举等经典算法基础上,提出了基于整数状态表示和实数状态表示的0-1决策递归搜索多最优解动态规划算法。针对该算法在最优解数量较大时,时间复杂度趋向O(mⁿ)的问题,提出了基于相同决策路径合并和基于0-x决策的两种改进算法。实验中两种改进算法的计算时间基本符合与O(nb+nm)的正比关系,表明对于这类多最优解组合优化问题具有良好的求解性能。     

Discrete search allocation game with false contacts

This paper deals with a two‐person zero‐sum game called a search allocation game, where a searcher and a target participate, taking account of false contacts. The searcher distributes his search effort in a search space in order to detect the target. On the other hand, the target moves to avoid the searcher. As a payoff of the game, we take the cumulative amount of search effort weighted by the target distribution, which can be derived as an approximation of the detection probability of the target. The searcher's strategy is a plan of distributing search effort and the target's is a movement represented by a path or transition probability across the search space. In the search, there are false contacts caused by environmental noises, signal processing noises, or real objects resembling true targets. If they happen, the searcher must take some time for their investigation, which interrupts the search for a while. There have been few researches dealing with search games with false contacts. In this paper, we formulate the game into a mathematical programming problem to obtain its equilibrium point. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

Some probability functions in reliability and their applications

There has been much research on the general failure model recently. In the general failure model, when the unit fails at its age t, Type I failure (minor failure) occurs with probability 1 ? p(t) and Type II failure (catastrophic failure) occurs with probability p(t). In the previous research, some specific shapes (constant, non‐decreasing, or bathtub‐shape) on the probability function p(t) are assumed. In this article, general results on some probability functions are obtained and applied to study the shapes of p(t). The results are also applied to determining the optimal inspection and allocation policies in maintenance problems. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

A stochastic assignment problem

There are n boxes with box i having a quota value Balls arrive sequentially, with each ball having a binary vector attached to it, with the interpretation being that if X_i = 1 then that ball is eligible to be put in box i. A ball's vector is revealed when it arrives and the ball can be put in any alive box for which it is eligible, where a box is said to be alive if it has not yet met its quota. Assuming that the components of a vector are independent, we are interested in the policy that minimizes, either stochastically or in expectation, the number of balls that need arrive until all boxes have met their quotas. © 2014 Wiley Periodicals, Inc. 62:23–31, 2015