基于微分对策理论的信息战模型

基于兰彻斯特作战理论,提出了一个新的微分对策模型来研究在交战双方均有信息战系统协助作战的条件下的最优火力分配策略。又运用微分对策理论对该模型进行分析和求解,并对所得到的结论作出符合战术意义的解释。     

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     

坦克分队在进攻战斗中的最佳火力分配

运用兰切斯特方程和极值理论就坦克分队在进攻战斗中如何分配火力及使火力分配最佳进行了研究。给出了最佳方案的计算方法     

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     

Bayesian strategies for dynamic pricing in e‐commerce

E‐commerce platforms afford retailers unprecedented visibility into customer purchase behavior and provide an environment in which prices can be updated quickly and cheaply in response to changing market conditions. This study investigates dynamic pricing strategies for maximizing revenue in an Internet retail channel by actively learning customers' demand response to price. A general methodology is proposed for dynamically pricing information goods, as well as other nonperishable products for which inventory levels are not an essential consideration in pricing. A Bayesian model of demand uncertainty involving the Dirichlet distribution or a mixture of such distributions as a prior captures a wide range of beliefs about customer demand. We provide both analytic formulas and efficient approximation methods for updating these prior distributions after sales data have been observed. We then investigate several strategies for sequential pricing based on index functions that consider both the potential revenue and the information value of selecting prices. These strategies require a manageable amount of computation, are robust to many types of prior misspecification, and yield high revenues compared to static pricing and passive learning approaches. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

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。     

遗传算法及其在导弹火力分配上的应用

遗传算法是一种近年来新发展起来的优化算法,目前它已被广泛应用于解决许多实际问题,如函数优化、图像识别、机器学习、人工神经网络、人工生命、优化调度等许多领域。通过对一种遗传算法的研究,阐述其在导弹武器火力分配上的应用。首先设计和实现了一种遗传算法;然后描述了导弹火力分配优化问题,建立了其数学模型;最后运用遗传算法求解了该问题。     

多层弹道导弹防御体系火力分配优化研究

对多层弹道导弹防御体系火力分配问题进行了研究。首先对多层弹道导弹防御体系火力分配问题进行了描述,在此基础上建立了基于最大化资源剩余价值目标函数的多层弹道导弹防御体系火力分配模型,分析了求解该模型的难点,提出了基于文化基因的多层弹道导弹防御体系火力分配问题文化基因求解算法,最后应用实例验证了模型的有效性,并对算法进行了对比分析。试验结果证明,合理制定多层弹道导弹防御体系火力分配方案,对于提升防御效能具有重要意义。     

基于混合智能算法的小型通信干扰装备分配优化

如何充分发挥小型通信干扰装备的作战效能是指挥员面临的棘手问题。本文将战术指标——干扰后的通信畅通区覆盖程度作为评估通信干扰装备分配优劣的指标,分别建立了单机和多部干扰时的通信干扰有效压制区和通信畅通区边界的计算模型,并给出了通信干扰有效压制区和通信畅通区面积的计算方法。构建了基于机会约束规划的空域频域通信干扰任务分配模型,并设计了混合蚁群算法和遗传算法的模型求解算法。最后进行了仿真实验,验证分析了模型和算法的合理性。研究成果为通信对抗战术计算和作战运用研究拓展了思路。