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

The Strict-Sense Nonblocking Multirate l

This paper considers the nonblocking conditions for a multirate logd(N,0,p) switching network at the connection level. The necessary and sufficient conditions for the discrete bandwidth model, as well as sufficient and, in particular cases, also necessary conditions for the continuous bandwidth model, were given. The results given for dn-1/2f0≥f1+1 in the discrete bandwidth model are the same as those proposed by Hwang et al. (2005); however, in this paper, these results were extended to other values of f0, f1, and d. In the continuous bandwidth model for B+b>1, the results given in this paper are also the same as those by Hwang et al. (2005); however, for B+b≤1, it was proved that a smaller number of vertically stacked logdN switching networks are needed

Path switching over multirate Benes network.

Mui Sze Wai.Thesis (M.Phil.)--Chinese University of Hong Kong, 2003.Includes bibliographical references (leaves 62-65).Abstracts in English and Chinese.Chapter 1. --- Introduction --- p.1Chapter 1.1 --- Evolution of Multirate Networks --- p.2Chapter 1.2 --- Some Results from Previous Work --- p.2Chapter 1.3 --- Multirate Traffic on Benes Network --- p.5Chapter 1.4 --- Organization --- p.7Chapter 2. --- Background Knowledge on Benes Network and Path Switching --- p.8Chapter 2.1 --- Benes Network --- p.9Chapter 2.1.1 --- Construction of Large Switching Fabrics --- p.9Chapter 2.1.2 --- Routing in Benes Network --- p.11Chapter 2.1.3 --- Performance when Operated as a Large Switch Fabric --- p.13Chapter 2.2 --- Path Switching --- p.14Chapter 2.2.1 --- Basic Concept of Path Switching --- p.14Chapter 2.2.2 --- Capacity Allocation and Route Assignment --- p.15Chapter 3. --- Path Switching over Benes Network --- p.20Chapter 3.1 --- The Model of path-switched Benes Network --- p.21Chapter 3.2 --- Module-to-Module Implementation --- p.21Chapter 3.2.1 --- The First Stage (Input Module) --- p.22Chapter 3.2.2 --- The Middle Stage (Central Module) --- p.23Chapter 3.2.3 --- The Last Stage (Output Module) --- p.24Chapter 3.3 --- Port-to-Port Implementation --- p.24Chapter 3.3.1 --- Uniform Traffic --- p.25Chapter 3.3.2 --- Mult irate Traffic --- p.26Chapter 3.4 --- Closing remarks --- p.29Chapter 4. --- Performance Analysis --- p.31Chapter 4.1 --- Traffic Constraints and Perform- ance Guarantees --- p.32Chapter 4.1.1 --- Arrival Curve and Service Curve --- p.33Chapter 4.1.2 --- Delay Bound and Backlog Bound --- p.36Chapter 4.2 --- Service Guarantees --- p.39Chapter 4.3 --- Deterministic Bounds --- p.42Chapter 4.3.1 --- Delay --- p.42Chapter 4.3.2 --- Backlog at Input Module --- p.44Chapter 4.3.3 --- Backlog at Output Module --- p.47Chapter 5. --- Simulation Results --- p.52Chapter 5.1 --- Uniform Traffic --- p.53Chapter 5.2 --- Multirate Traffic --- p.55Chapter 6. --- Conclusions and Future Research --- p.59Chapter 6.1 --- Suggestions for future research --- p.61Bibliography --- p.6

Routing algorithm for multirate circuit switching in quantized Clos network.

by Wai-Hung Kwok.Thesis (M.Phil.)--Chinese University of Hong Kong, 1997.Chapter 1 --- Introduction --- p.1Chapter 2 --- Preliminaries - Routing in Classical Circuit Switching Clos Net- work --- p.9Chapter 2.1 --- Formulation of route assignment as bipartite multigraph coloring problem --- p.10Chapter 2.1.1 --- Definitions --- p.10Chapter 2.1.2 --- Problem formulation --- p.11Chapter 2.2 --- Edge-coloring of bipartite graph --- p.12Chapter 2.3 --- Routing algorithm - Paull's matrix --- p.15Chapter 3 --- Principle of Routing Algorithm --- p.18Chapter 3.1 --- Definitions --- p.18Chapter 3.1.1 --- Bandwidth quantization --- p.18Chapter 3.1.2 --- Connection splitting --- p.20Chapter 3.2 --- Non-blocking conditions --- p.20Chapter 3.2.1 --- Rearrangeably non-blocking condition --- p.21Chapter 3.2.2 --- Strictly non-blocking condition --- p.22Chapter 3.3 --- Formulation of route assignment as weighted bipartite multigraph coloring problem --- p.23Chapter 3.4 --- Edge-coloring of weighted bipartite multigraph with edge splitting --- p.25Chapter 3.4.1 --- Procedures --- p.25Chapter 3.4.2 --- Example --- p.27Chapter 3.4.3 --- Validity of the color rearrangement procedure --- p.29Chapter 4 --- Routing Algorithm --- p.32Chapter 4.1 --- Capacity allocation matrix --- p.32Chapter 4.2 --- Connection setup --- p.34Chapter 4.2.1 --- Non-splitting stage --- p.35Chapter 4.2.2 --- Splitting stage --- p.36Chapter 4.2.3 --- Recursive rearrangement stage --- p.37Chapter 4.3 --- Connection release --- p.40Chapter 4.4 --- Realization of route assignment in packet level --- p.42Chapter 5 --- Performance Studies --- p.45Chapter 5.1 --- External blocking probability --- p.45Chapter 5.1.1 --- Reduced load approximation --- p.46Chapter 5.1.2 --- Comparison of external blocking probabilities --- p.48Chapter 5.2 --- Connection splitting probability --- p.50Chapter 5.3 --- Recursive rearrangement probability --- p.50Chapter 6 --- Conclusions --- p.5

Multicast cross-path ATM switches: principles, designs and performance evaluations.

by Lin Hon Man.Thesis (M.Phil.)--Chinese University of Hong Kong, 1998.Includes bibliographical references (leaves 59-[63]).Chapter 1 --- Introduction --- p.1Chapter 1.1 --- Organization of Thesis --- p.3Chapter 2 --- Principles of Multicast Cross-Path Switches --- p.4Chapter 2.1 --- Introduction --- p.4Chapter 2.2 --- Unicast Cross-Path switch --- p.5Chapter 2.2.1 --- Routing properties in Clos networks --- p.5Chapter 2.2.2 --- Quasi-static routing procedures --- p.5Chapter 2.2.3 --- Capacity and Route Assignment --- p.7Chapter 2.3 --- Multicast Cross-Path Switch --- p.8Chapter 2.3.1 --- Scheme 1 - Cell replication performed at both input and output stages --- p.10Chapter 2.3.2 --- Scheme 2 - Cell replication performed only at the input stage --- p.10Chapter 3 --- Architectures --- p.14Chapter 3.1 --- Introduction --- p.14Chapter 3.2 --- Input Module Design (Scheme 1) --- p.16Chapter 3.2.1 --- Input Header Translator --- p.16Chapter 3.2.2 --- Input Module Controller --- p.17Chapter 3.2.3 --- Input Replication Network (Scheme 1) --- p.19Chapter 3.2.4 --- Routing Network --- p.23Chapter 3.3 --- Central Modules --- p.24Chapter 3.4 --- Output Module Design (Scheme 1) --- p.24Chapter 3.5 --- Input Module Design (Scheme 2) --- p.25Chapter 3.5.1 --- Input Header Translator (Scheme 2) --- p.26Chapter 3.5.2 --- Input Module Controller (Scheme 2) --- p.27Chapter 3.5.3 --- Input Replication Network (Scheme 2) --- p.28Chapter 3.6 --- Output Module Design (Scheme 2) --- p.29Chapter 4 --- Performance Evaluations --- p.31Chapter 4.1 --- Introduction --- p.31Chapter 4.2 --- Traffic characteristics --- p.31Chapter 4.2.1 --- Fanout distribution --- p.31Chapter 4.2.2 --- Middle stage traffic load and its calculation --- p.32Chapter 4.3 --- Throughput Performance --- p.34Chapter 4.4 --- Delay Performance --- p.37Chapter 4.4.1 --- Input Stage Delay --- p.38Chapter 4.4.2 --- Output Stage Delay --- p.39Chapter 4.5 --- Cell Loss Performance --- p.43Chapter 4.5.1 --- Cell Loss due to Buffer Overflow --- p.44Chapter 4.5.2 --- Cell Loss Due to Output Contention --- p.45Chapter 4.6 --- Complexities --- p.50Chapter 5 --- Conclusions --- p.57Bibliography --- p.5

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

Performance analysis of virtual path over large-scale ATM switches.

by Tang Oo.Thesis submitted in: December 1997.Thesis (M.Phil.)--Chinese University of Hong Kong, 1998.Includes bibliographical references (leaves 68-[75]).Abstract also in Chinese.Chapter 1 --- Introduction --- p.1Chapter 1.1 --- Background --- p.1Chapter 1.2 --- The Concept of Cross-Path Switching --- p.8Chapter 1.3 --- Contribution and Organization of Thesis --- p.12Chapter 2 --- The Virtual Path Scheduling Scheme --- p.14Chapter 2.1 --- The Trade-off Between Throughput and Concentration Loss --- p.14Chapter 2.2 --- Partition of Virtual Paths --- p.19Chapter 2.3 --- The Capacity and Route Assignment of Virtual Paths --- p.21Chapter 3 --- Performance Analysis and Simulation Results --- p.28Chapter 3.1 --- The Improvement of Concentration Loss --- p.28Chapter 3.2 --- The Throughput with Look-ahead Scheme --- p.30Chapter 3.3 --- The Throughput with Input Smoothing Scheme --- p.34Chapter 3.4 --- The Throughput with Bursty Source --- p.37Chapter 3.5 --- Buffer Dimensioning and The Cell Loss Probability Due to Buffer Overflow --- p.38Chapter 4 --- Capacity Assignment and Evaluation of Multiplexing Gain --- p.47Chapter 4.1 --- Principle of Capacity Assignment --- p.47Chapter 4.2 --- The Model of Virtual Path --- p.49Chapter 4.3 --- Capacity Assignment for CBR Service --- p.51Chapter 4.4 --- Capacity Assignment for Real-time VBR Service --- p.53Chapter 4.5 --- Capacity Assignment for Non Real-time VBR Service --- p.55Chapter 4.6 --- Capacity Matrix --- p.56Chapter 4.7 --- The Evaluation of Multiplexing Gain of Input Stage --- p.58Chapter 5 --- Discussions and Conclusions --- p.64Bibliography --- p.6