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1.
We consider the salvo policy problem, in which there are k moments, called salvos, at which we can fire multiple missiles simultaneously at an incoming object. Each salvo is characterized by a probability pi: the hit probability of a single missile. After each salvo, we can assess whether the incoming object is still active. If it is, we fire the missiles assigned to the next salvo. In the salvo policy problem, the goal is to assign at most n missiles to salvos in order to minimize the expected number of missiles used. We consider three problem versions. In Gould's version, we have to assign all n missiles to salvos. In the Big Bomb version, a cost of B is incurred when all salvo's are unsuccessful. Finally, we consider the Quota version in which the kill probability should exceed some quota Q. We discuss the computational complexity and the approximability of these problem versions. In particular, we show that Gould's version and the Big Bomb version admit pseudopolynomial time exact algorithms and fully polynomial time approximation schemes. We also present an iterative approximation algorithm for the Quota version, and show that a related problem is NP-complete.  相似文献   
2.
We consider the problem of nonparametric multi-product dynamic pricing with unknown demand and show that the problem may be formulated as an online model-free stochastic program, which can be solved by the classical Kiefer-Wolfowitz stochastic approximation (KWSA) algorithm. We prove that the expected cumulative regret of the KWSA algorithm is bounded above by where κ1, κ2 are positive constants and T is the number of periods for any T = 1, 2, … . Therefore, the regret of the KWSA algorithm grows in the order of , which achieves the lower bounds known for parametric dynamic pricing problems and shows that the nonparametric problems are not necessarily more difficult to solve than the parametric ones. Numerical experiments further demonstrate the effectiveness and efficiency of our proposed KW pricing policy by comparing with some pricing policies in the literature.  相似文献   
3.
总结和推广了非线性动态系统渐近滑态(ASM)控制方法的若干理论成果。在相当一般的假设条件下,我们指出了可以采用连续(乃至光滑)的控制方案,将系统的状态驱往给定的滑动流形上。此外,我们还引入了基于Hamilton-Jacobi方程的理论方法,统一了先前得到的关于闭环系统鲁棒性分析的结果。最后我们列举了一些应用例子和研究建议。  相似文献   
4.
In networks, there are often more than one sources of capacity. The capacities can be permanently or temporarily owned by the decision maker. Depending on the nature of sources, we identify the permanent capacity, spot market capacity, and contract capacity. We use a scenario tree to model the uncertainty, and build a multi‐stage stochastic integer program that can incorporate multiple sources and multiple types of capacities in a general network. We propose two solution methodologies for the problem. Firstly, we design an asymptotically convergent approximation algorithm. Secondly, we design a cutting plane algorithm based on Benders decomposition to find tight bounds for the problem. The numerical experiments show superb performance of the proposed algorithms compared with commercial software. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 600–614, 2017  相似文献   
5.
研究了外激励作用下非线性支撑悬臂输流管道系统的Hopf分叉特性,建立了外激励作用下非线性支撑悬臂输流管道系统的动力学方程,并采用Galerkin方法离散动力学方程,由增量谐波平衡(IHB)法推导了方程的近似解析解,由Floquet理论判定了解的稳定性,同时给出了系统的Hopf分叉点。利用数值算法和IHB法研究了支撑位置、支撑结构刚度和阻尼对系统Hopf分叉特性的影响规律。研究表明:系统的幅频特性在Hopf分叉前后发生了改变,响应频率由外激励频率变为系统的自激振动频率,且系统Hopf分叉后,幅值显著增大。该研究结果可为悬臂管道的振动控制提供理论基础。  相似文献   
6.
针对临近空间高超声速拦截弹执行机构非线性特性影响控制系统响应,提出基于次优控制理论及bang-bang控制理论对该问题进行研究.针对舵偏角速率饱和影响控制系统响应,通过改进正定阵P,Q来确保系统响应特性;针对舵偏角饱和影响控制系统响应,通过建立bang-bang开关曲线,分析推导出开关切换次数及最优时间表达式;最后仿真结果表明临近空间拦截弹的舵偏角饱和严重影响飞行控制系统的快速性.  相似文献   
7.
文中为解决超长帧编码系统中联合帧数过多导致LSP参数量化性能下降这个问题,将多项式拟合引入超长帧编码系统中,利用多项式拟合压缩LSP参数矩阵,以降低量化时实际联合的帧数。再用分裂矩阵量化器进行量化。仿真结果表明,在120 bps的参数量化速率下,此算法的量化性能优于矩阵量化算法(MQ),平均谱失真比MQ算法降低了0.0719 dB,平均分段信噪比提高了0.1971 dB。  相似文献   
8.
非线性气动力对弹箭运动特性具有重要影响,而其复杂性和有效分析工具的缺乏往往制约了弹箭非线性运动理论的发展。为探索正规形方法在弹箭非线性运动分析中的应用,构造了考虑二次非线性阻尼和七次非线性静力矩下攻角方程的正规形,进而求得攻角的通用解析解,通过数值积分验证了其在较大攻角范围内的有效性,该解析解也同样适用于无阻尼角运动和更高或更低阶静力矩作用下的角运动分析。基于正规形方法导出的初始条件关系,给出了保守但简洁的稳定初始条件范围的计算方法,结合平衡点分析,可较为准确地预测弹箭在非线性气动力作用下形成的极限环及其稳定性。  相似文献   
9.
为了实现利用船舶静态电场对船舶进行跟踪的目的,针对传统卡尔曼滤波算法中存在的问题,设计一种新的非线性滤波器。建立船舶的状态空间模型,分析传统卡尔曼滤波算法在船舶跟踪中存在的问题;依据渐进贝叶斯思想,利用连续白噪声与离散白噪声序列噪声协方差之间的关系,设计一种新的渐进更新扩展卡尔曼滤波器。仿真结果表明,该滤波器能有效地抑制由于初始误差较大而造成的滤波性能下降和滤波发散,能够有效地跟踪船舶,具有较高的实用价值。  相似文献   
10.
This article studies a min‐max path cover problem, which is to determine a set of paths for k capacitated vehicles to service all the customers in a given weighted graph so that the largest path cost is minimized. The problem has wide applications in vehicle routing, especially when the minimization of the latest service completion time is a critical performance measure. We have analyzed four typical variants of this problem, where the vehicles have either unlimited or limited capacities, and they start from either a given depot or any depot of a given depot set. We have developed approximation algorithms for these four variants, which achieve approximation ratios of max{3 ‐ 2/k,2}, 5, max{5 ‐ 2/k,4}, and 7, respectively. We have also analyzed the approximation hardness of these variants by showing that, unless P = NP , it is impossible for them to achieve approximation ratios less than 4/3, 3/2, 3/2, and 2, respectively. We have further extended the techniques and results developed for this problem to other min‐max vehicle routing problems.© 2010 Wiley Periodicals, Inc. Naval Research Logistics, 2010  相似文献   
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