Fibonacci数列及其算法分析

讨论了方程x^k=x^k-1＋x^k-2＋……＋x＋1的性质根，并利用其给出了k阶Fibonacci数列的通项公式及其性质，最后，给出了该数列的一些算法，并对这些算法做了简要分析。     

战场运动目标快速跟踪研究

针对现有的基于图像序列目标提取算法HS算法和LK算法过于复杂、运算量大等缺点,提出了快速微分光流法,并利用Matlab仿真实验验证了该技术的可行性。     

Approximation algorithms for sequential batch‐testing of series systems

We introduce and study a generalization of the classic sequential testing problem, asking to identify the correct state of a given series system that consists of independent stochastic components. In this setting, costly tests are required to examine the state of individual components, which are sequentially tested until the correct system state can be uniquely identified. The goal is to propose a policy that minimizes the expected testing cost, given a‐priori probabilistic information on the stochastic nature of each individual component. Unlike the classic setting, where variables are tested one after the other, we allow multiple tests to be conducted simultaneously, at the expense of incurring an additional set‐up cost. The main contribution of this article consists in showing that the batch testing problem can be approximated in polynomial time within factor , for any fixed . In addition, we explain how, in spite of its highly nonlinear objective function, the batch testing problem can be formulated as an approximate integer program of polynomial size, while blowing up its expected cost by a factor of at most . Finally, we conduct extensive computational experiments, to demonstrate the practical effectiveness of these algorithms as well as to evaluate their limitations. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 275–286, 2016     

一种面向个性化服务的无需反例集的用户建模方法

随着WWW信息的快速增长 ,查找用户感兴趣的信息变得越来越耗时耗力。个性化服务能为不同的用户提供有针对性的服务 ,日益受到研究者的重视。用户建模是实现个性化服务的关键技术。传统的需要正、反例集作为训练例集的用户建模方法容易干扰用户的正常浏览 ,或者由于推断失误而引入噪声。基于遗传算法和k近邻方法提出了一种无需反例集的用户建模方法 ,该方法被应用于个性化信息过滤中。实验结果表明 ,基于无需反例集的用户建模方法的信息过滤算法可以达到 73 91%的过滤率和 94 4 4 %的过滤精度。无需反例集的用户建模方法是一种可行、高效的用户建模方法     

Stochastic regret minimization for revenue management problems with nonstationary demands

We study an admission control model in revenue management with nonstationary and correlated demands over a finite discrete time horizon. The arrival probabilities are updated by current available information, that is, past customer arrivals and some other exogenous information. We develop a regret‐based framework, which measures the difference in revenue between a clairvoyant optimal policy that has access to all realizations of randomness a priori and a given feasible policy which does not have access to this future information. This regret minimization framework better spells out the trade‐offs of each accept/reject decision. We proceed using the lens of approximation algorithms to devise a conceptually simple regret‐parity policy. We show the proposed policy achieves 2‐approximation of the optimal policy in terms of total regret for a two‐class problem, and then extend our results to a multiclass problem with a fairness constraint. Our goal in this article is to make progress toward understanding the marriage between stochastic regret minimization and approximation algorithms in the realm of revenue management and dynamic resource allocation. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 433–448, 2016     

多目标的分布式协同进化MDO算法

通过引入非优超排序和排挤的多目标处理机制 ,将分布式协同进化MDO算法的能力扩展到多目标的多学科设计优化问题。多目标的分布式协同进化MDO算法在保持各学科充分自治和各学科并行设计优化协同的基础上 ,通过一次运行即可获得具有良好分布的多个Pareto最优解 ,逼近整个Pareto最优前沿。应用于导弹气动 /发动机 /控制三学科两目标设计优化问题 ,与约束法计算结果的对比表明算法能够有效逼近该问题的Pareto最优前沿 ,为设计决策提供了丰富的信息     

基于信息粒化理论的主体间任务分配方法

有效的任务分配对于多主体系统通过主体间协作完成其使命任务是非常重要的。基于信息粒化理论提出了一种新的解决方法,任务分配过程包括两个阶段:主体和任务粒化阶段和粒内规划阶段。给出了主体和任务粒化阶段的数学表示和基于遗传算法的求解方法。案例分析和对比试验表明本文的方法具有较好的性能。     

Maintenance scheduling for modular systems: Modeling and algorithms

We study new models of scheduled maintenance management for modular systems, consisting of multiple components with respective cycle limits. The cycle limit of each component specifies the time interval in which this component must be repaired or replaced. The goal is to compute a feasible maintenance schedule that minimizes the cost associated with component maintenance. Applications of these models arise in Air Force aircraft maintenance as well as in other arenas with required preventive maintenance. The typical cost structures that arise in practical settings are submodular, which make the resulting models computationally challenging. We develop two efficient and operationally tenable approximation algorithms. We prove constant factor worst‐case guarantees for both algorithms, and present computational experiments showing that these algorithms perform within a few percent of optimality on operationally relevant instances. © 2014 Wiley Periodicals, Inc. Naval Research Logistics 61: 472–488, 2014     

Scheduling twin robots on a line

This article introduces the twin robots scheduling problem (TRSP), in which two robots positioned at the opposite ends of a rail are required to deliver items to positions along the rail, and the objective is to minimize the makespan. A proof of ‐hardness of the TRSP is presented, along with exact and heuristic algorithms. Computational results on challenging instances are provided.Copyright © 2014 Wiley Periodicals, Inc. Naval Research Logistics 61: 119–130, 2014     

导弹自动驾驶仪改进遗传模糊控制器设计

针对导弹飞行控制系统具有参考模型不精确,非线性时变的特点,设计了一种新型的导弹自动驾驶仪的模拟退火遗传模糊PID控制器。该控制器是利用模糊控制器的模糊推理能力,在线整定PID控制器参数,再采用遗传算法与模拟退火算法结合,离线搜索寻优模糊控制器中的隶属函数参数集。Matlab仿真实验结果表明,所设计的控制器能够使系统具有良好的动态性能、鲁棒性以及全弹道性能,利用模糊查询表可满足系统的实时性要求,工程应用前景较好。