基于极大独立集的最小连通支配集的分布式算法

全网范围的广播在无线传感器网络和移动自组织网络中有着广泛的应用.为节省网络资源,减少冗余转发节点成为广播中需解决的关键问题.广播过程中最小化参与转发节点数问题与图论中求解最小连通支配集问题等价,而在任意图中求解最小连通支配集是NP完全问题.本文基于极大独立集,提出了一种求解最小连通支配集的分布式算法(MISB),并证明了算法的正确性.仿真结果表明,使用该算法能得到较小的连通支配集,从而有效减少网络广播过程中的转发节点数,大大节省了网络资源.     

Distributed Construction of Connected Dominating Set in Wireless Ad Hoc Networks

Connected dominating set (CDS) has been proposed as virtual backbone or spine of wireless ad hoc networks. Three distributed approximation algorithms have been proposed in the literature for minimum CDS. In this paper, we first reinvestigate their performances. None of these algorithms have constant approximation factors. Thus these algorithms cannot guarantee to generate a CDS of small size. Their message complexities can be as high as O(n ²), and their time complexities may also be as large as O(n ²) and O(n ³). We then present our own distributed algorithm that outperforms the existing algorithms. This algorithm has an approximation factor of at most 8, O(n) time complexity and O(nlogn) message complexity. By establishing the (nlogn) lower bound on the message complexity of any distributed algorithm for nontrivial CDS, our algorithm is thus message-optimal.     

基于最小连通支配集的CRL分发系统研究

CRL(certification revocation list,证书撤销列表)分发效率是制约PKI在无线网络中应用的重要因素之一。针对无线网络节点能量有限的不足和CRL分发的实时性要求,提出了基于最小连通支配集的"推"方式分发方法,并设计了CRL广播分发协议,协议的设计包括数据结构和报文格式、广播树构造描述,并在协议基础上设计CRL分发系统,最后利用NS-2仿真平台进行模拟仿真。仿真结果表明,当合理设置定时器等待时间时,该系统不仅能适应节点较多的网络,并可以保证较好的传输率、较低的传输开销及较短的传输时间,具有一定应用价值。     

基于连通支配集的无线传感网Top-k查询最优支撑树研究

构建底层逻辑树能有效降低集中式top-k查询带来的巨大通信开销,针对现有逻辑树都以固定汇聚节点为根节点,导致其附近节点能耗太大、过早死亡的问题,本文在无固定汇聚节点的网络背景下,基于连通支配集,提出一种能耗均衡的top-k查询最优支撑树构建方法,综合节点能量、度数以及与邻节点通信开销,选取能量代价小的作为支配节点负责查询中间数据处理,在每次查询中,节点基于地理位置ID轮流作为根节点,有效均衡节点的能耗.仿真实验表明,与其他逻辑拓扑树相比,基于最优支撑树的top-k查询具有相近的查询时间,但其平均每轮查询能耗更小,多次查询后各节点能耗达到均衡,有效延长了网络生命周期.     

一种改进的基于连通支配集的P2P搜索算法

为了避免由洪泛搜索方法引起的大量网络流量问题．基于连通支配集的广播算法BCDS通过减少转发节点来减少查询消息数。文章对BCDS算法进行改进，选择转发节点时考虑节点间的距离．简化选择转发节点的操作，且不用维持局部两跳拓扑信息。实验结果表明当搜索结果相同时，改进的BCDS算法的消息数量平均仅为洪泛搜索方法的35％。     

WSNs中基于能量代价的最小权和支配集拓扑控制算法

该文针对无线传感器网络中最小连通支配集拓扑并非网络耗能最小拓扑的问题,定义由节点剩余能量,邻居个数和通信代价构建的能量代价函数综合反映支配节点的能量效率以及对降低网络整体能耗的贡献,进而以其作为拓扑权值,提出一种基于能量代价的最小权和连通支配集拓扑控制算法。算法选取局部最小权值节点担负支配任务,搭建整体权和最小的支配集,最小化网络整体能耗。实验结果表明,算法不仅具有节能的特点,还确保了通信链路的可靠性,有效延长了网络生命周期。     

无线传感器网络中一种能量均衡的基于连通支配集的数据收集算法

采用连通支配集来构建虚拟骨干可以减轻无线传感器网络的广播风暴问题.目前已有大量工作通过构造最小连通支配集形成网络虚拟骨干来进行高效数据收集.然而,最小连通支配集并不能有效均衡节点的能量耗费,导致网络生命周期较短.提出了一种能量均衡的基于连通支配集的分布式算法EBCDS来进行数据收集,通过选择能量水平和度均比较大的节点组成连通支配集,支配集中的节点组成一个规模不大但具有较高能量水平的网络骨干.网络中的所有数据沿骨干在较小的寻路空间中转发,能够节省节点能量,使骨干节点不会因为能量不足而过早死亡.理论分析表明,EBCDS能以O(nlogn)的消息复杂度构造连通支配集,仿真实验表明,EBCDS能有效节省节点能耗并延长网络生命周期.     

用马尔科夫模型优化分布式最小连通支配集算法

 为了提高无线传感器网络(WSNs)的能量利用效率、延长网络的生存时间,对基于极大独立集的最小连通支配集算法(MISB)进行优化,提出了一种新的算法.本文首先应用离散马尔科夫链为节点建立模型,并且根据模型预测节点的能量消耗;本算法进行多轮选举,每一轮开始时根据节点的度和能量选举支配点,依据模型预测的能量消耗决定本轮的运行时间,本轮运行结束时从新选举支配点,开始新一轮.仿真结果表明,本算法和原算法相比可以更好地平衡网络的能量消耗,提高全网的能量利用率,极大地延长网络的生存时间.     

MDFNSSDP:基于最小转发节点覆盖集合的无线自组网服务发现协议

服务发现是在网络中寻找所需服务的技术,它是无线自组网的一项基本技术.本文提出了一个高效的无线自组网服务发现协议:MDFNSSDP.MDFNSSDP在转发服务需求包时能充分利用各项信息最大限度减少需要覆盖的2跳邻居节点数量,并选用最少的转发节点来覆盖这些2跳邻居,从而大大节约了信息包开销,提高了协议效率.MDFNSSDP能在一次服务发现会话中完成多个服务发现任务,并能保证服务发现会话的覆盖范围,这一点已经通过理论分析得到了证明.计算机仿真结果表明了MDFNSSDP的显著优越性.     

基于图着色的无线自组网极小连通支配集算法

基于连通支配集算法的虚拟主干网技术对于无线自组网的路由优化、能量保护和资源分配都具有重要的作用。通过引入极大独立集和极小支配集概念,基于图着色思想提出一种新的适合于无线自组网的极小连通支配集算法,从理论上证明了该算法的正确性和高效性,也通过仿真实验分析了该算法在多种情况下的实际性能,仿真结果表明新算法在簇头和主干节点数目方面具有较好的性能,特别在节点密集的网络环境中更加突出。     

A new distributed approximation algorithm for constructing minimum connected dominating set in wireless ad hoc networks

In recent years, constructing a virtual backbone by nodes in a connected dominating set (CDS) has been proposed to improve the performance of ad hoc wireless networks. In general, a dominating set satisfies that every vertex in the graph is either in the set or adjacent to a vertex in the set. A CDS is a dominating set that also induces a connected sub‐graph. However, finding the minimum connected dominating set (MCDS) is a well‐known NP‐hard problem in graph theory. Approximation algorithms for MCDS have been proposed in the literature. Most of these algorithms suffer from a poor approximation ratio, and from high time complexity and message complexity. In this paper, we present a new distributed approximation algorithm that constructs a MCDS for wireless ad hoc networks based on a maximal independent set (MIS). Our algorithm, which is fully localized, has a constant approximation ratio, and O(n) time and O(n) message complexity. In this algorithm, each node only requires the knowledge of its one‐hop neighbours and there is only one shortest path connecting two dominators that are at most three hops away. We not only give theoretical performance analysis for our algorithm, but also conduct extensive simulation to compare our algorithm with other algorithms in the literature. Simulation results and theoretical analysis show that our algorithm has better efficiency and performance than others. Copyright © 2005 John Wiley & Sons, Ltd.     

基于极大权的最小连通支配集启发式算法

Ad hoc无线网络中基于最小连通支配集(MCDS)的路由是一个引人瞩目的方法,文中提出了一种基于极大权的MCDS的启发式算法,确保了性能强的主机担任网关节点的角色,能更好的协调管理网络中其他的节点,从而保持MCDS的相对稳固性并为全网中的广播和路由操作提供一个高效的通信基础.仿真结果表明,该算法能在保证生成权和极大的连通支配集的同时也确保它的极小性,因此能有效地用于基于MCDS的路由设计中.     

基于连通支配集的OBS网络多粒度业务疏导机制

针对目前光网络核心节点的交换速度无法匹配单波长的传输速度难以满足大量的业务请求而拥塞,为了提高核心节点交换效率使其具有大容量数据交换的能力,本文提出了一种基于连通支配集(CDS)的光突发交换(OBS)网络稀疏节点疏导机制(CDS-TG).主要思路是:首先在OBS核心网络中根据改进的连通支配集算法选取疏导节点;其次在疏导...     

移动自组网电力及负荷感知的构造最小连通支配集算法

在移动自组网络MANET(Mobile Ad-hoc Networks)中,移动节点之间的通信是多跳(Multi-hop)的,即需要网络中其他节点的参与得以进行,因此,节点之间的通信路径会因为节点的电力耗竭或节点的移动而中断.本文提出了根据移动节点当前电力及通信负荷来选择支配节点的最小连通支配集CDS(Connected Dominating Set)构造算法,这种算法可以减小由移动节点电力耗竭所致的通信路径失效的概率,也可以减少数据包通过各移动节点的延误时间,对设计MANET的高效稳定的路由策略有着重要的应用价值.     

Approximation Algorithms for the Mobile Piercing Set Problem with Applications to Clustering in Ad-Hoc Networks

The main contributions of this paper are two-fold. First, we present a simple, general framework for obtaining efficient constant-factor approximation algorithms for the mobile piercing set (MPS) problem on unit-disks for standard metrics in fixed dimension vector spaces. More specifically, we provide low constant approximations for L ₁ and L norms on a d-dimensional space, for any fixed d>0, and for the L ₂ norm on two- and three-dimensional spaces. Our framework provides a family of fully-distributed and decentralized algorithms, which adapt (asymptotically) optimally to the mobility of disks, at the expense of a low degradation on the best known approximation factors of the respective centralized algorithms: Our algorithms take O(1) time to update the piercing set maintained, per movement of a disk. We also present a family of fully-distributed algorithms for the MPS problem which either match or improve the best known approximation bounds of centralized algorithms for the respective norms and space dimensions.Second, we show how the proposed algorithms can be directly applied to provide theoretical performance analyses for two popular 1-hop clustering algorithms in ad-hoc networks: the lowest-id algorithm and the Least Cluster Change (LCC) algorithm. More specifically, we formally prove that the LCC algorithm adapts in constant time to the mobility of the network nodes, and minimizes (up to low constant factors) the number of 1-hop clusters maintained. While there is a vast literature on simulation results for the LCC and the lowest-id algorithms, these had not been formally analyzed prior to this work.We also present an O(logn)-approximation algorithm for the mobile piercing set problem for nonuniform disks (i.e., disks that may have different radii), with constant update time.     

一种求解集合最小覆盖问题的随机算法

集合最小覆盖问题是运筹学研究中的一个基本的组合优化问题,文章以线性规划为基础,提出了一种求解集合最小覆盖问题的随机近似算法。     

AN EFFICIENT DISTRIBUTED ALGORITHM FOR CONNECTED DOMINATING SET CONSTRUCTION IN WIRELESS SENSOR NETWORKS

Efficient broadcasting protocols based on Connected Dominating Set （CDS） are frequently used; hence the entire broadcast domain is restricted to nodes in the CDS. This letter proves that a node must be a CDS node, if its neighbors with larger keys cannot cover it together. Then a simple distributed CDS construction algorithm is proposed, which is more effective than the existing algorithms in reducing the dominating set size and the computation complexity at the same time. Simulation results also confirm this, especially in relatively dense networks.     

A distributed battery recovery aware topology control algorithm for wireless sensor networks

Battery recovery effect is a phenomenon that the available capacity of a battery could increase if the battery can sleep for a certain period of time since its last discharging. Accordingly, the battery can work for a longer time when it takes some rests between consecutive discharging processes than when it works all the time. However, this effect has not been considered in the design of energy‐efficient topology control algorithms for wireless sensor networks. In this paper, we propose a distributed battery recovery effect aware connected dominating set constructing algorithm (BRE‐CDS) for wireless sensor networks. In BRE‐CDS, each network node periodically decides to join the connected dominating set or not. Nodes that have slept in the preceding round have priority to join the connected dominating set in the current round while nodes that have worked in the preceding round are encouraged to take sleep in the current round for battery recovery. Detailed algorithm design is presented. The computational complexity of BRE‐CDS is deduced to be O(D²), where D is node degree. Simulation results show that BRE‐CDS can significantly prolong the network lifetime as compared with existing work. Copyright © 2016 John Wiley & Sons, Ltd.     

求二部图的最大匹配图的一种算法

 一个图的最大匹配图是以这个图的最大匹配集作为顶点集,两个顶点相邻当且仅当这两个最大匹配恰有一条边不同.本文首先对Gallai Edmonds结构定理中的三部分顶点在二部图中进行了详细刻画.然后讨论了构造最大匹配图问题的计算复杂性.最后深入研究了二部图最大匹配图的结构性质并给出了构造二部图的最大匹配图的一种算法.     

Improving a Set of Sequential Heuristics for the Channel Allocation Problem

We consider the minimum span channel allocation problem encountered in cellular systems. Our solution approach is based on a set of sequential heuristics, and incorporates concepts borrowed from graph coloring schemes. The performance of the new heuristics has been tested on known benchmark problems, whose optimal solutions have been recently quoted in the literature. The new heuristics are quite effective in terms of speed, as well as in terms of spans produced. The results obtained are near-optimal in almost all cases, and certainly comparable to those produced by slower optimization procedures, indicating that these new variations can be treated either as an efficient alternative to this type of problems or as a very good starting point to more complicated procedures.