Randomized Partially-Minimal Routing on Three-Dimensional Mesh Networks

This letter presents a new oblivious routing algorithm for 3D mesh networks called Randomized Partially- Minimal (RPM) routing that provably achieves optimal worstcase throughput for 3D meshes when the network radix k is even and within a factor of 1/k2 of optimal when k is odd. Although this optimality result has been achieved with the minimal routing algorithm O1TURN [9] for the 2D case, the worst-case throughput of O1TURN degrades tremendously in higher dimensions. Other existing routing algorithms suffer from either poor worst-case throughput (DOR [10], ROMM [8]) or poor latency (VAL [14]). RPM on the other hand achieves near optimal worst-case and good average-case throughput as well as good latency performance.     

Joint routing, scheduling, and power control for multichannel wireless sensor networks with physical interference

Reliability and real-time requirements bring new challenges to the energy-constrained wireless sensor networks, especially to the industrial wireless sensor networks. Meanwhile, the capacity of wireless sensor networks can be substantially increased by operating on multiple nonoverlapping channels. In this context, new routing, scheduling, and power control algorithms are required to achieve reliable and real-time communications and to fully utilize the increased bandwidth in multichannel wireless sensor networks. In this paper, we develop a distributed and online algorithm that jointly solves multipath routing, link scheduling, and power control problem, which can adapt automatically to the changes in the network topology and offered load. We particularly focus on finding the resource allocation that realizes trade-off among energy consumption, end-to-end delay, and network throughput for multichannel networks with physical interference model. Our algorithm jointly considers 1) delay and energy-aware power control for optimal transmission radius and rate with physical interference model, 2) throughput efficient multipath routing based on the given optimal transmission rate between the given source-destination pairs, and 3) reliable-aware and throughput efficient multichannel maximal link scheduling for time slots and channels based on the designated paths, and the new physical interference model that is updated by the optimal transmission radius. By proving and simulation, we show that our algorithm is provably efficient compared with the optimal centralized and offline algorithm and other comparable algorithms.     

Packet Routing and PRAM Emulation on Star Graphs and Leveled Networks

We consider the problem of permutation routing on a star graph, an interconnection network which has better properties than the hypercube. In particular, its degree and diameter are sublogarithmic in the network size. We present optimal randomized routing algorithms that run in O(D) steps (where D is the network diameter) for the worst-case input with high probability. We also show that for the n-way shuffle network with N = nⁿ nodes, there exists a randomized routing algorithm which runs in O(n) time with high probability. Another contribution of this paper is a universal randomized routing algorithm that could do optimal routing for a large class of networks (called leveled networks) which includes the star graph. The associative analysis is also network-independent. In addition, we present a deterministic routing algorithm, for the star graph, which is near optimal. All the algorithms we give are oblivious. As an application of our routing algorithms, we also show how to emulate a PRAM optimally on this class of networks.     

A reliable opportunistic routing for smart grid with in-home power line communication networks

The topology of in-home power line communication (PLC) networks varies frequently, which makes traditional routing algorithms failure. To solve this problem, an end-to-end transmission time for remaining path (TTRP) metric-based opportunistic routing (TTRPOR) is proposed. Since a local broadcasting scheme is adopted, the algorithm can find the optimal path for forwarding packets in a dynamic PLC network. The closed-form of the outage probability for a PLC channel is derived to estimate the TTRP. It is proved that the average throughput can achieve maximum as the metric TTRP is utilized to sort candidate forwarding nodes. Numerical results show that the end-to-end throughput of networks with TTRPOR, outperforms that of the network adopting DSR and EXOR, especially for the case of varying-topology in-home PLC networks.     

Comments on “Hierarchical cubic networks”

Ghose and Desai (1995) introduced a new interconnection for large-scale distributed memory multiprocessors called the Hierarchical Cubic Network (HCN). The HCN is topologically superior to a comparable hypercube. They also proposed optimal routing algorithms for the HCN and obtained its diameter, which is about three-fourths the diameter of a comparable hypercube. However, their routing algorithm is not distance-optimal. In this paper, we propose an optimal routing algorithm for the HCN and show that HCN has about two-thirds the diameter of a comparable hypercube     

QoS based multicast routing algorithms for real time applications

In recent years, there has been a lot of interest in providing real-time multimedia services like digital audio and video over packet-switched networks such as Internet and ATM. These services require certain quality of service (QoS) from the network. The routing algorithm should take QoS factor for an application into account while selecting the most suitable route for the application. In this paper, we introduce a new routing metric and use it with two different heuristics to compute the multicast tree for guaranteed QoS applications that need firm end-to-end delay bound. We then compare the performance of our algorithms with the other proposed QoS-based routing algorithms. Simulations were run over a number of random networks to measure the performance of different algorithms. We studied routing algorithms along with resource reservation and admission control to measure the call throughput over a number of random networks. Simulation results show that our algorithms give a much better performance in terms of call throughput over other proposed schemes.     

自由光通信网络的多媒体路由算法

自由光通信网络作为一种新兴的宽带无线网络,适用于多媒体通信的要求。针对多媒体业务在FSO网络中的传输进行了研究,考虑FSO网络的特点,提出了适用于多媒体任务的FSO网络模型。利用该模型,设计了基于拓扑控制算法的路由算法TCR。TCR改进三角剖分算法进行拓扑控制,形成虚拟拓扑图,使得节点的平均吞吐量大;同时,TCR是基于位置的、按需和主动混合的路由,适用于数据量大,实时性要求高的多媒体通信需求。     

A Robust High-Order Mixed L2-Linfty Estimation for Linear-in-the-Parameters Models

A new algorithm called Mixed L2-Linfty (ML2) estimation is proposed in this paper; it combines both the weighted least squares and the worst-case parameter estimations together as the cost function and strikes the right balance between them. A robust ML2 algorithm and a practical approximate robust ML2 algorithm are also developed under disturbance signals. The properties of the new robust ML2 algorithm are analyzed and the simulation results are given to show the convergence and the validity.     

High-performance routing in networks of workstations with irregulartopology

Networks of workstations are rapidly emerging as a cost-effective alternative to parallel computers. Switch-based interconnects with irregular topology allow the wiring flexibility, scalability, and incremental expansion capability required in this environment. However, the irregularity also makes routing and deadlock avoidance on such systems quite complicated. In current proposals, many messages are routed following nonminimal paths, increasing latency and wasting resources. In this paper, we propose two general methodologies for the design of adaptive routing algorithms for networks with irregular topology. Routing algorithms designed according to these methodologies allow messages to follow minimal paths in most cases, reducing message latency and increasing network throughput. As an example of application, we propose two adaptive routing algorithms for ANI (previously known as Autonet). They can be implemented either by duplicating physical channels or by splitting each physical channel into two virtual channels. In the former case, the implementation does not require a new switch design. It only requires changing the routing tables and adding links in parallel with existing ones, taking advantage of spare switch ports. In the latter case, a new switch design is required, but the network topology is not changed. Evaluation results for several different tapologies and message distributions show that the new routing algorithms are able to increase throughput for random traffic by a factor of up to 4 with respect to the original up*/down* algorithm, also reducing latency significantly. For other message distributions, throughput is increased more than seven times. We also show that most of the improvement comes from the use of minimal routing     

一种改进负载均衡的网络编码多播路由算法

已有研究证明,在多播网络中使用网络编码可以显著提高多播通信的性能。总结了网络编码多播理论的研究进展,同时对网络编码多播路由问题进行了研究与分析。考虑到影响链路负载和资源消耗的因素,提出了一种改进链路负载均衡的网络编码多播路由算法,优化了路径间链路的共享。通过使用常见的Waxman网络拓扑模型,产生随机网络拓扑。在这些拓扑中,分别针对传统IP多播路由、低速率网络下的网络编码多播路由以及提出的路由算法进行性能仿真。仿真结果表明,与其他两种路由算法相比,该算法在可达吞吐量、资源消耗和负载均衡等性能上均有很好的表现。     

一种基于链路质量的移动Ad-hoc网络地理路由算法

如何实现简单的路由机制,使节点能够快速、高效地完成分组传递,是移动aa-ho}网络研究的一个基本问题。针对无线链路在高误码率和杭干扰技术方面的不足,提出了将链路质量作为路由选择的度量,设计并实现了基于链路质量的地理路由算法LQPR,解决了在非理想无线链路上采用传统贪婪算法引起数据分组传送率下降的问题。该算法综合了链路质量选择模式和边界选择模式,并利用目标定位技术获取的地理位置信息指导分组的转发,以减少控制开销,优化路径选择,实现数据分组快速有效的传输。在NS-2中完整实现了LQPR协议的仿真,并通过对网络节点发送数据包的端到端时延、吞吐量以及包传送率进行比较、评估和检侧,验证了LQPR路由协议的有效性。     

Buffer-assisted on-demand multicast for VOD applications

Multicast communications is widely used by streaming video applications to reduce both server load and network bandwidth. However, receivers in a multicast group must access the multicast stream simultaneously, and this restriction on synchronous access diminishes the benefit of multicast because users in a video-on-demand service usually issue requests asynchronously, i.e., at anytime. In this paper, we not only formulate this streaming problem but also propose a new multicast infrastructure, called buffer-assisted on-demand multicast, to allow receivers accessing a multicast stream asynchronously. A timing control mechanism is integrated on intermediate routing nodes (e.g., routers, proxies, or peer nodes in a peer-to-peer network) to branch time-variant multicast sub-streams to corresponding receivers. Besides, an optimal routing path and the corresponding buffer allocations for each request must be carefully determined to maximize the throughput of the multicast stream. We prove that the time complexity to solve this routing problem over general graph networks is NP-complete, and then propose a routing algorithm for overlay networks to minimize server load. Simulation results demonstrate that buffer-assisted on-demand multicast outperforms many popular streaming methods.     

Cooperative Diagnosis and Routing in Fault-Tolerant Multiprocessor Systems

In this note, we consider the problem of fault-tolerant routing in multiprocessor systems when incomplete, or partial, diagnostic information is available. We first define a new type of partial diagnosis, known as k-reachability diagnosis. The overhead for k-reachability diagnosis increases with k, which specifies the radius of diagnostic information maintained by each node. We then present a routing algorithm, known as Algorithm Partial Route, that makes use of k-reachability diagnostic information and allows a trade-off between the amount of diagnostic information and the quality of routing. Partial Route is the first algorithm capable of handling systems of arbitrary topology containing an arbitrary number of faults. The worst-case performance of the algorithm in an n-node system, is shown to be optimal when k = n − 1 and within a factor of 2 of optimal when k = 1. Simulation results on meshes and hypercubes are also presented that show, in the average case, Algorithm Partial Route is nearly optimal for relatively small values of k.     

Huffman algebras for independent random variables

Based on a rearrangement inequality by Hardy, Littlewood, and Polya, we define two-operator algebras for independent random variables. These algebras are called Huffman algebras since the Huffman algorithm on these algebras produces an optimal binary tree that minimizes the weighted lengths of leaves. Many examples of such algebras are given. For the case with random weights of the leaves, we prove the optimality of the tree constructed by the power-of-2 rule, i.e., the Huffman algorithm assuming identical weights, when the weights of the leaves are independent and identically distributed.     

Disjoint multipath routing using colored trees

Multipath routing (MPR) is an effective strategy to achieve robustness, load balancing, congestion reduction, and increased throughput in computer networks. Disjoint multipath routing (DMPR) requires the multiple paths to be link- or node-disjoint. Both MPR and DMPR pose significant challenges in terms of obtaining loop-free multiple (disjoint) paths and effectively forwarding the data over the multiple paths, the latter being particularly significant in IP datagram networks.This paper develops a two-disjoint multipath routing strategy using colored trees. Two trees, red and blue, that are rooted at a designated node, called the drain, are formed. The paths from a given source to the drain on the two trees are link- or node-disjoint. The colored tree approach requires every node to maintain only two preferred neighbors for each destination, one on each tree. This paper (1) formulates the problem of colored-trees construction as an integer linear program (ILP); and (2) develops the first distributed algorithm to construct the colored trees using only local information. We demonstrate the effectiveness of the distributed algorithm by evaluating it on grid and random topologies and comparing to the optimal obtained by solving the ILP.     

D2D通信蜂窝网络中的比例公平与加权和速率最大化

针对终端直通（D2D）通信系统中用户的公平性问题,首先对现有的比例公平原则进行扩展,推导出一个与加权和速率有关的优化问题,然后提出了一个最大带权匹配比例公平（KMPF）资源分配算法对其进行优化。该算法通过功率控制最大化用户的加权和速率,并由最大带权匹配（KM）算法按照系统总的加权和速率最大原则为D2D用户分配可以复用的蜂窝用户资源。最后由仿真结果可得,该算法在使得系统公平指数相对于贪婪资源分配算法高出0.4的同时保证系统吞吐量达到其水平的95%以上,而相对于公平性较好的随机资源分配算法,该方案得到的系统吞吐量提高了约50%,说明该算法能在兼顾系统吞吐量的同时解决系统公平性问题。     

一种联合多信道分配决策的认知Mesh系统数据传输优化算法

在认知Mesh系统进行数据传输的过程中,为了提高数据包投递成功率及网络的吞吐量,减少网络延迟时间,提出一种联合多信道分配决策的认知Mesh系统数据传输优化算法(JCWN)。针对信道的干扰问题,建立了认知Mesh系统的干扰无向图,分析节点链路的网络干扰电平。在节点的路由请求阶段通过提出基于信道干扰电平的路由指标函数,并通过权重阈值来为节点链路分配干扰较小的信道。在路由选择上,联合多路由算法计算每条路由路径的信道干扰程度,为了保障节点传输数据的成功率而选择干扰程度更小的路由。实验仿真结果表明,在数据包投递成功率上,该算法相比POC算法以及基于RL的算法提高了20%以上,在提高网络吞吐量,减少延迟时间上也表现出了更好地效果。     

Heavy traffic optimal resource allocation algorithms for cloud computing clusters

Cloud computing is emerging as an important platform for business, personal and mobile computing applications. In this paper, we study a stochastic model of cloud computing, where jobs arrive according to a stochastic process and request resources like CPU, memory and storage space. We consider a model where the resource allocation problem can be separated into a routing or load balancing problem and a scheduling problem. We study the join-the-shortest-queue routing and power-of-two-choices routing algorithms with the MaxWeight scheduling algorithm. It was known that these algorithms are throughput optimal. In this paper, we show that these algorithms are queue length optimal in the heavy traffic limit.     

Analysis of worst-case backlog bounds for Networks-on-Chip

In networks-on-chips (NoCs), analyzing the worst-case backlog bounds of routers is very important to identify network congestions and improve network performance. In this paper, we propose a method called DiGB (DIrected-contention-Graph-based Backlog bound derivation) to analyze worst-case backlog bounds. For primitive scenarios, we propose analytical models for backlog bound derivation. For complex scenarios, we first construct a directed-contention-graph (DCG) to analyze the relationships among traffic flows. Then, we use the Breadth-First-Search strategy to traverse the DCG so that complex scenarios can be divided into primitive scenarios. Finally we compute the worst-case backlog bounds of each router. To illustrate this method, we present the derivation of closed-form formulas to compute the worst-case backlog bounds under all-to-one gather communication. The experimental results show that our method can achieve correct and tight worst-case backlog bounds.     

An optimal fault-tolerant routing algorithm for weighted bidirectional double-loop networks

Double-loop networks are widely used in computer networks. In this paper, we present an optimal message routing algorithm and an optimal fault-tolerant message routing algorithm for weighted bidirectional double-loop networks. The algorithms presented are novel, and they do not use routing tables. After a precalculation of O(log N) steps to determine network parameters, the algorithms can route messages using constant time at each node along the route. The algorithm presented can route messages in the presence of up to three faulty nodes or links. The fault-tolerant routing algorithm guarantees an optimal route in the presence of one node failure.