Distributed election in complete networks

An improved version of Afek and Gafni's synchronous algorithm for distributed election in complete networks is given and anO(n) expected message complexity is shown. M.Y. Chan received her Ph.D. in 1988 from the University of Hong Kong, and her M.S. and B.A. degrees in computer science from the University of California, San Diego in 1980 and 1981, respectively. She is currently an Assistant Professor at the University of Texas at Dallas. Francis Y.L. Chin (S71-M76-SM85) received the B.Sc. degree in engineering science from the University of Toronto, Toronto, Canada, in 1972, and the M.S., M.A., and Ph.D. degrees in electrical engineering and computer science from Princeton University, New Jersey, in 1974, 1975, and 1976, respectively. Since 1975, he has taught at the University of Maryland, Baltimore Country, University of California, San Diego, University of Alberta, and Chinese University of Hong Kong. He is currently Head of the Department of Computer Science, University of Hong Kong. He has served as a program co-chairman of the 1988 International Conference on Computer Processing of Chinese and Oriental Languages (Toronto) and the International Computer Science Conference '88 (Hong Kong). His current research interests include algorithm design and analysis, parallel and distributed computing.     

How to find Steiner minimal trees in euclideand-space

This paper has two purposes. The first is to present a new way to find a Steiner minimum tree (SMT) connectingN sites ind-space,d >- 2. We present (in Appendix 1) a computer code for this purpose. This is the only procedure known to the author for finding Steiner minimal trees ind-space ford > 2, and also the first one which fits naturally into the framework of backtracking and branch-and-bound. Finding SMTs of up toN = 12 general sites ind-space (for anyd) now appears feasible.We tabulate Steiner minimal trees for many point sets, including the vertices of most of the regular and Archimedeand-polytopes with <- 16 vertices. As a consequence of these tables, the Gilbert-Pollak conjecture is shown to be false in dimensions 3–9. (The conjecture remains open in other dimensions; it is probably false in all dimensionsd withd 3, but it is probably true whend = 2.)The second purpose is to present some new theoretical results regarding the asymptotic computational complexity of finding SMTs to precision .We show that in two-dimensions, Steiner minimum trees may be found exactly in exponential time O(C ^N ) on a real RAM. (All previous provable time bounds were superexponential.) If the tree is only wanted to precision , then there is an (N/)^O(N)-time algorithm, which is subexponential if 1/ grows only polynomially withN. Also, therectilinear Steiner minimal tree ofN points in the plane may be found inN ^O(N) time.J. S. Provan devised an O(N ⁶/⁴)-time algorithm for finding the SMT of a convexN-point set in the plane. (Also the rectilinear SMT of such a set may be found in O(N ⁶) time.) One therefore suspects that this problem may be solved exactly in polynomial time. We show that this suspicion is in fact true—if a certain conjecture about the size of Steiner sensitivity diagrams is correct.All of these algorithms are for a real RAM model of computation allowing infinite precision arithmetic. They make no probabilistic or other assumptions about the input; the time bounds are valid in the worst case; and all our algorithms may be implemented with a polynomial amount of space. Only algorithms yielding theexact optimum SMT, or trees with lengths (1 + ) × optimum, where is arbitrarily small, are considered here.     

Randomized range-maxima in nearly-constant parallel time

Given an array ofn input numbers, therange-maxima problem is that of preprocessing the data so that queries of the type what is the maximum value in subarray [i..j] can be answered quickly using one processor. We present a randomized preprocessing algorithm that runs inO(log^* n) time with high probability, using an optimal number of processors on a CRCW PRAM; each query can be processed in constant time by one processor. We also present a randomized algorithm for a parallel comparison model. Using an optimal number of processors, the preprocessing algorithm runs inO( (n)) time with high probability; each query can be processed inO ( (n)) time by one processor. (As is standard, (n) is the inverse of Ackermann function.) A constant time query can be achieved by some slowdown in the performance of the preprocessing stage.     

基于并行遗传算法的配送路线求解

遗传算法(Genetic Algorithm)是一类借鉴生物界的进化规律演化而来的随机化搜索方法,已经成功运用在很多大规模的组合优化问题中。利用如今流行的并行计算机系统,对遗传算法进行并行化,可解决标准遗传算法的速度瓶颈问题。本文在MPI并行环境下,用C++语言实现了粗粒度模型的并行遗传算法。结合并行遗传算法的特点,提出了解决物流配送路线优化的策略以及给出相应的算法过程,并进行了有效验证。通过研究结果表明,与传统遗传算法相比,并行遗传算法提高了运算速度,降低了平均开销时间并且最小总路径值更理想。     

改进的退避算法在战术业务流中应用研究

研究战术的网络业务流问题。针对传统的网络退避算法由于网络信道访问频率过大,容易造成节点缓存队列拥塞等问题,特别是退避算法中的参数选择问题严重影响网络性能传输。提出了一种改进的退避算法应用于战术网络业务流中。改进的算法首先为结点引入适当的竞争系数,使得对于信道的访问可以根据当前网络的突发状态合理分派,同时根据网络状态和冲突节点发生情况,对竞争窗口大小分别采用线性和多重下降等方式进行动态调整,有效地改善网络的性能。仿真结果表明,改进后的退避算法具有较好的性能,有效降低了网络信道访问冲突发生概率,提高了网络系统的吞吐量。     

基于改进最大熵算法系统传输速率优化研究

研究系统速率优化提高问题。随着用户对系统的传输速率要求越来越高,传统的系统优化传输速率算法由于参数设置难,而造成算法复杂度特别高,使得系统的传输速率降低,为了解决上述问题,在基于误比特率和功率的分析基础上,提出了一种改进的最大熵算法优化系统传输速率方法。方法首先给出系统模型并提出自适应最大熵调制算法理论,然后在发送端和接收端能够完全知道信道状态信息的情况下,给出了最大化传输速率的低复杂度比特和功率分配算法。仿真结果表明,提出的算法可以有效地满足系统地误比特率要求,同时大大降低了系统的计算复杂度,是一种有效地系统传输速率优化方法。     

改进蚁群算法的无线传感器网络路径优化

研究无线传感器网络路径优化问题,针对无线传感器网络(WSN)路径优化问题,在分析了遗传算法和蚁群算法各自优缺点的基础上,通过把蚁群算法作为WSN路径优化的主框架,采用遗传算的选择、交叉和变异算子提高蚁群算法搜索速度,提出一种改进蚁群算法的WSN路径优化方法。仿真结果表明,改进蚁群算法有效地克服了基本蚁群算法的缺陷,提高了WSN路径优化效率和成功率,减少了能理消耗,有效延长了网络生存时间。     

基于解析法和遗传算法的机械手运动学逆解

研究优化机械手轨迹规划问题,机械手运动时要具有稳定性避障性能。针对平面3自由度冗余机械手优化控制问题,建立机械手的结构模型。提出用解析法和遗传算法相结合满足具有计算量小和适应性强的特点。在给定机械手末端执行器的运动轨迹,按着机械手冗余自由度,运动轨迹上每个点对应的关节角有无穷多个解。而通过算法可以找到一组最优的关节角,可得到优化机械手运动过程中柔顺性和避障点。仿真结果表明,该算法可以快速收敛到全局最优解,可用于计算冗余机械手运动学逆解,并可实现机器人的轨迹规划和避障优化控制。     

基于改进蚁群算法的维修拆卸序列规划

维修拆卸序列规划是整个维修性设计的重要内容。为了能够以较高的效率求解出产品中零件的拆卸方案,依据产品的基本信息和零件之间的约束关系,建立拆卸Petri网可达图,将拆卸序列规划问题转化为对Petri网可达图最优路径的搜索和寻优问题。同时利用蚁群优化算法对组合优化具有高强适应性的特征,改进基本蚁群算法,对可达图模型进行路径寻优,得到最优或次优的拆卸序列。最后通过实例验证了该方法的有效性。     

机器人三维路径规划问题的一种改进蚁群算法

本文研究移动机器人三维空间路径规划问题,针对三维空间的复杂地形特点,提出了一种基于改进蚁群算法的路径规划算法。文中首先描述了一种简单有效的环境建模方法,然后给出了算法在信息素呈现、路径点选取、信息素更新以及启发式函数设计等方面的改进方法。仿真结果证明了算法的可行性和可靠性。