Symmetric rearrangeable networks and algorithms

A class of symmetric rearrangeable nonblocking networks has been considered in this thesis. A particular focus of this thesis is on Benes networks built with 2 x 2 switching elements. Symmetric rearrangeable networks built with larger switching elements have also being considered. New applications of these networks are found in the areas of System on Chip (SoC) and Network on Chip (NoC). Deterministic routing algorithms used in NoC applications suffer low scalability and slow execution time. On the other hand, faster algorithms are blocking and thus limit throughput. This will be an acceptable trade-off for many applications where achieving ”wire speed” on the on-chip network would require extensive optimisation of the attached devices. In this thesis I designed an algorithm that has much lower blocking probabilities than other suboptimal algorithms but a much faster execution time than deterministic routing algorithms. The suboptimal method uses the looping algorithm in its outermost stages and then in the two distinct subnetworks deeper in the switch uses a fast but suboptimal path search method to find available paths. The worst case time complexity of this new routing method is O(NlogN) using a single processor, which matches the best known results reported in the literature. Disruption of the ongoing communications in this class of networks during rearrangements is an open issue. In this thesis I explored a modification of the topology of these networks which gives rise to what is termed as repackable networks. A repackable topology allows rearrangements of paths without intermittently losing connectivity by breaking the existing communication paths momentarily. The repackable network structure proposed in this thesis is efficient in its use of hardware when compared to other proposals in the literature. As most of the deterministic algorithms designed for Benes networks implement a permutation of all inputs to find the routing tags for the requested inputoutput pairs, I proposed a new algorithm that can work for partial permutations. If the network load is defined as ρ, the mean number of active inputs in a partial permutation is, m = ρN, where N is the network size. This new method is based on mapping the network stages into a set of sub-matrices and then determines the routing tags for each pair of requests by populating the cells of the sub-matrices without creating a blocking state. Overall the serial time complexity of this method is O(NlogN) and O(mlogN) where all N inputs are active and with m < N active inputs respectively. With minor modification to the serial algorithm this method can be made to work in the parallel domain. The time complexity of this routing algorithm in a parallel machine with N completely connected processors is O(log^2 N). With m active requests the time complexity goes down to (logmlogN), which is better than the O(log^2 m + logN), reported in the literature for 2^0.5((log^2 -4logN)^0.5-logN)<= ρ <= 1. I also designed multistage symmetric rearrangeable networks using larger switching elements and implement a new routing algorithm for these classes of networks. The network topology and routing algorithms presented in this thesis should allow large scale networks of modest cost, with low setup times and moderate blocking rates, to be constructed. Such switching networks will be required to meet the bandwidth requirements of future communication networks

Application of Butterfly Clos-Network in Network-on-Chip

This paper studied the topology of NoC (Network-on-Chip). By combining the characteristics of the Clos network and butterfly network, a new topology named BFC (Butterfly Clos-network) network was proposed. This topology integrates several modules, which belongs to the same layer but different dimensions, into a new module. In the BFC network, a bidirectional link is used to complete information exchange, instead of information exchange between different layers in the original network. During the routing period, other nondestination nodes can be used as middle stages to transfer data packets to complete the routing mission. Therefore, this topology has the characteristic of multistage. Simulation analyses show that BFC inherits the rich path diversity of Clos network, and it has a better performance than butterfly network in throughput and delay in a quite congested traffic pattern

A Complexity Analysis of Smart Pixel Switching Nodes for Photonic Extended Generalized Shuffle Switching Networks

This paper studies the architectural tradeoffs found in the use of smart pixels for nodes within photonic switching interconnection networks are discussed. The particular networks of interest within the analysis are strictly nonblocking extended generalized shuffle (EGS) networks. Several performance metrics are defined for the analysis, and the effect of node size on these metrics is studied. Optimum node sizes are defined for each of the performance metrics and system-level limitations are identified

New approaches to the analysis of connecting and sorting networks

10255788Originally issued as an Sc. D. thesis, Dept. of Electrical Engineering, Massachusetts Institute of Technology, 1971.Includes bibliographical references (p. 53-54).Michael J. Marcus

On-board B-ISDN fast packet switching architectures. Phase 2: Development. Proof-of-concept architecture definition report

For the next-generation packet switched communications satellite system with onboard processing and spot-beam operation, a reliable onboard fast packet switch is essential to route packets from different uplink beams to different downlink beams. The rapid emergence of point-to-point services such as video distribution, and the large demand for video conference, distributed data processing, and network management makes the multicast function essential to a fast packet switch (FPS). The satellite's inherent broadcast features gives the satellite network an advantage over the terrestrial network in providing multicast services. This report evaluates alternate multicast FPS architectures for onboard baseband switching applications and selects a candidate for subsequent breadboard development. Architecture evaluation and selection will be based on the study performed in phase 1, 'Onboard B-ISDN Fast Packet Switching Architectures', and other switch architectures which have become commercially available as large scale integration (LSI) devices

Combinatorial Optimization

This report summarizes the meeting on Combinatorial Optimization where new and promising developments in the field were discussed. Th

Performance study of multirate circuit switching in quantized clos network.

by Vincent Wing-Shing Tse.Thesis submitted in: December 1997.Thesis (M.Phil.)--Chinese University of Hong Kong, 1998.Includes bibliographical references (leaves 62-[64]).Abstract also in Chinese.Chapter 1 --- Introduction --- p.1Chapter 2 --- Principles of Multirate Circuit Switching in Quantized Clos Network --- p.10Chapter 2.1 --- Formulation of Multirate Circuit Switching --- p.11Chapter 2.2 --- Call Level Routing in Quantized Clos Network --- p.12Chapter 2.3 --- Cell Level Routing in Quantized Clos Network --- p.16Chapter 2.3.1 --- Traffic Behavior in ATM Network --- p.17Chapter 2.3.2 --- Time Division Multiplexing in Multirate Circuit Switching and Cell-level Switching in ATM Network --- p.19Chapter 2.3.3 --- Cell Transmission Scheduling --- p.20Chapter 2.3.4 --- Capacity Allocation and Route Assignment at Cell-level --- p.29Chapter 3 --- Performance Evaluation of Different Implementation Schemes --- p.31Chapter 3.1 --- Global Control and Distributed Switching --- p.32Chapter 3.2 --- Implementation Schemes of Quantized Clos Network --- p.33Chapter 3.2.1 --- Classification of Switch Modules --- p.33Chapter 3.2.2 --- Bufferless Switch Modules Construction Scheme --- p.38Chapter 3.2.3 --- Buffered Switch Modules Construction Scheme --- p.42Chapter 3.3 --- Complexity Comparison --- p.44Chapter 3.4 --- Delay Performance of The Two Implementation Schemes --- p.47Chapter 3.4.1 --- Assumption --- p.47Chapter 3.4.2 --- Simulation Result --- p.50Chapter 4 --- Conclusions --- p.59Bibliography --- p.6

WDM cross-path switching for large-scale ATM switches.

by Jin Mai.Thesis submitted in: June 1998.Thesis (M.Phil.)--Chinese University of Hong Kong, 1999.Includes bibliographical references (leaves 62-[67]).Abstract also in Chinese.Chapter 1 --- Introduction --- p.1Chapter 1.1 --- Background and Motivation --- p.1Chapter 1.2 --- Organization of the thesis --- p.8Chapter 2 --- Principles of WDM Cross-Path Switch --- p.11Chapter 2.1 --- Principles of path scheduling --- p.11Chapter 2.2 --- Call setup and path rearrangement --- p.15Chapter 2.3 --- ABR control --- p.17Chapter 3 --- Star coupler and WDM path scheduling --- p.20Chapter 3.1 --- Star coupler and other WDM ATM switches --- p.20Chapter 3.2 --- Two schemes of implementation --- p.22Chapter 4 --- input/output modules and local routing --- p.26Chapter 4.1 --- Shared buffer memory switch --- p.26Chapter 4.2 --- local routing at input/output modules --- p.29Chapter 5 --- Multicasting --- p.32Chapter 5.1 --- Two multicasting schemes --- p.32Chapter 5.2 --- Call blocking --- p.36Chapter 6 --- Performance --- p.37Chapter 6.1 --- Introduction --- p.37Chapter 6.2 --- Switch complexity --- p.38Chapter 6.3 --- Speed up --- p.40Chapter 6.4 --- Two multicasting schemes --- p.41Chapter 7 --- Switch Model and Operation --- p.47Chapter 8 --- Conclusions --- p.50Chapter A --- Effective bandwidth and QoS guarantee --- p.52Chapter A.l --- ATM service categories and QoS parameters --- p.52Chapter A.2 --- Effective bandwidth for single source --- p.53Chapter A.2.1 --- Markovian on/off source approach --- p.54Chapter A.2.2 --- Leaky bucket regulated source --- p.55Chapter A.3 --- Effective bandwidth for multiplexed sources --- p.60Chapter A.3.1 --- Gaussian model approach --- p.60Bibliography --- p.6