任务划分与处理机调度的递归-分治方法

本文介绍并实现了一种如何把一个顺序执行的任务集,根据其子任务之间潜在的并行性,划分成若干个可并发执行的任务子集,并把每个子集分配给一个处理机,使各处理机之间的数据通信量尽可能地少,同时兼顾各处理机之间负载平衡的算法。最后给出了几个典型例题的试算结果,为了满足用户的不同要求,文章还提出了几点改进方法。     

用正则化方法对频谱有限信号进行外推的新算法

本文给出了频谱有限信号外推的一个新算法,首先考虑了问题的不适定性,然后用正则化方法构造一个稳定算法,因本文把噪音η(t)看成是L~2〔-T,T〕(T > 0)中的函数,且当integral from n=-T to T (|η(t)|~2dt→0时,外推在(-∞, ∞)上一致逼近准确信号,所以有较强的应用价值.最后还给出了外推的误差估计.     

Exact algorithms and bounds for the dynamic assignment interdiction problem

We study a multi‐stage dynamic assignment interdiction (DAI) game in which two agents, a user and an attacker, compete in the underlying bipartite assignment graph. The user wishes to assign a set of tasks at the minimum cost, and the attacker seeks to interdict a subset of arcs to maximize the user's objective. The user assigns exactly one task per stage, and the assignment costs and interdiction impacts vary across stages. Before any stage commences in the game, the attacker can interdict arcs subject to a cardinality constraint. An interdicted arc can still be used by the user, but at an increased assignment cost. The goal is to find an optimal sequence of assignments, coupled with the attacker's optimal interdiction strategy. We prove that this problem is strongly NP‐hard, even when the attacker can interdict only one arc. We propose an exact exponential‐state dynamic‐programming algorithm for this problem as well as lower and upper bounds on the optimal objective function value. Our bounds are based on classical interdiction and robust optimization models, and on variations of the DAI game. We examine the efficiency of our algorithms and the quality of our bounds on a set of randomly generated instances. © 2017 Wiley Periodicals, Inc. Naval Research Logistics 64: 373–387, 2017     

低错误平层数列分割移位LDPC码构造算法研究

为降低LDPC码错误平层,提出一种基于环分类搜索的数列分割移位LDPC码构造算法。该算法具有码长、码率和列重的任意可设性,同时该类码的Tanner图围长至少为8。循环移位因子可以通过简单的代数表达式描述,从而降低内存需求。仿真结果表明,当误码率达到10-5时,数列分割移位LDPC(496,248)码相对于PEG-LDPC码获得了约1.9dB的性能提升;且随着信噪比的升高,两条译码性能曲线之间的差距将更为增大。此外,列重为3的数列分割移位LDPC码(6144,5376)在信噪比4.6dB以后并未出现明显的错误平层。该构造算法与PS-LDPC码相比在误码率达到10-8时大约获得0.25dB增益,特别在错误平层区域其译码性能优于围长为4和6的PEG构造算法,其构造复杂度和耗时也相较于PS-LDPC码和PEG-LDPC码构造算法展现出一定优势。通过基于Tanner图的诱捕集分析方法,统计(496,248)APPS-LDPC码中由8环组成的部分小型诱捕集并不存在,从而证明了其错误平层降低的原因。     

三维半线性波动方程初值问题解的破裂

研究了半线性波动方程初值问题在三维空间中解的生命跨度的上界估计,关于此初值问题的爆破解将被建立。无论多么小的初值,该问题都没有整体解,在前人研究的基础上给出该初值问题解的生命跨度的上界估计。     

中国机器人产业持续发展的制约因素及措施

中国机器人企业由于研发力量薄弱,缺乏核心技术,高端人才匮乏,产品成本高昂,加之没有政策引领,没能形成规模化应用,所占市场份额不足10%。文章探讨如何破解中国机器人产业现存问题并寻求针对性解决措施。     

高炮群火力优化分配的指派模型

火力优化分配是高炮群指挥控制的关键环节。依据有严格理论证明和实用价值的指派问题及其解法(匈牙利法),构建了一对一射击和多对一射击情形下的高炮群火力优化分配的指派模型,探讨了该模型的求解,分析了该模型的实际应用,并通过具体实例对该模型进行了初步验证。该模型的解法被证明是多项式时间算法,满足作战实时性要求。实际应用表明该模型用于解决高炮群的火力分配问题是有效的。     

Discrete equal‐capacity p‐median problem

This paper examines the discrete equal‐capacity p‐median problem that seeks to locate p new facilities (medians) on a network, each having a given uniform capacity, in order to minimize the sum of distribution costs while satisfying the demand on the network. Such problems arise, for example, in local access and transport area telecommunication network design problems where any number of a set of p facility units can be constructed at the specified candidate sites (hence, the net capacity is an integer multiple of a given unit capacity). We develop various valid inequalities, a separation routine for generating cutting planes that are specific members of such inequalities, as well as an enhanced reformulation that constructs a partial convex hull representation that subsumes an entire class of valid inequalities via its linear programming relaxation. We also propose suitable heuristic schemes for this problem, based on sequentially rounding the continuous relaxation solutions obtained for the various equivalent formulations of the problem. Extensive computational results are provided to demonstrate the effectiveness of the proposed valid inequalities, enhanced formulations, and heuristic schemes. The results indicate that the proposed schemes for tightening the underlying relaxations play a significant role in enhancing the performance of both exact and heuristic solution methods for this class of problems. © 2000 John & Sons, Inc. Naval Research Logistics 47: 166–183, 2000.     

大学生常见心理问题与防治

当代大学生心理健康问题日益凸现,涉及到生活、学习、社交、恋爱、就业等方方面面。教育者要积极对大学生进行抗挫折教育、人际关系教育、适应性教育、心理健康教育,创造良好的校园文化环境,提供心理咨询帮助,使大学生能健康成长。     

天基预警系统资源调度方法

对面向导弹预警任务的天基预警系统中的低轨卫星资源调度问题进行了研究.对预警任务的特性进行分析,提出了一种预警任务规划与分解方法以减少任务对资源占用时间的需求;在此基础上建立了该问题的约束满足CSP调度模型;针对该模型变量多、解空间规模庞大的特点以及对求解算法时效性的要求,设计了一种基于局部解空间跳出机制的改进型遗传算法MGA.仿真表明该模型与算法在给定时间内能够得到满意的调度方案.