Crosstalk-free Conjugate Networks for Optical Multicast Switching

High-speed photonic switching networks can switch optical signals at the rate of several terabits per second. However, they suffer from an intrinsic crosstalk problem when two optical signals cross at the same switch element. To avoid crosstalk, active connections must be node-disjoint in the switching network. In this paper, we propose a sequence of decomposition and merge operations, called conjugate transformation, performed on each switch element to tackle this problem. The network resulting from this transformation is called conjugate network. By using the numbering-schemes of networks, we prove that if the route assignments in the original network are link-disjoint, their corresponding ones in the conjugate network would be node-disjoint. Thus, traditional nonblocking switching networks can be transformed into crosstalk-free optical switches in a routine manner. Furthermore, we show that crosstalk-free multicast switches can also be obtained from existing nonblocking multicast switches via the same conjugate transformation.Comment: 10 page

The Edge Group Coloring Problem with Applications to Multicast Switching

This paper introduces a natural generalization of the classical edge coloring problem in graphs that provides a useful abstraction for two well-known problems in multicast switching. We show that the problem is NP-hard and evaluate the performance of several approximation algorithms, both analytically and experimentally. We find that for random $\chi$-colorable graphs, the number of colors used by the best algorithms falls within a small constant factor of $\chi$, where the constant factor is mainly a function of the ratio of the number of outputs to inputs. When this ratio is less than 10, the best algorithms produces solutions that use fewer than $2\chi$ colors. In addition, one of the algorithms studied finds high quality approximate solutions for any graph with high probability, where the probability of a low quality solution is a function only of the random choices made by the algorithm

Architecture design and performance analysis of practical buffered-crossbar packet switches

Combined input crosspoint buffered (CICB) packet switches were introduced to relax inputoutput arbitration timing and provide high throughput under admissible traffic. However, the amount of memory required in the crossbar of an N x N switch is N2x k x L, where k is the crosspoint buffer size and needs to be of size RTT in cells, L is the packet size. RTT is the round-trip time which is defined by the distance between line cards and switch fabric. When the switch size is large or RTT is not negligible, the memory amount required makes the implementation costly or infeasible for buffered crossbar switches. To reduce the required memory amount, a family of shared memory combined-input crosspoint-buffered (SMCB) packet switches, where the crosspoint buffers are shared among inputs, are introduced in this thesis. One of the proposed switches uses a memory speedup of in and dynamic memory allocation, and the other switch avoids speedup by arbitrating the access of inputs to the crosspoint buffers. These two switches reduce the required memory of the buffered crossbar by 50% or more and achieve equivalent throughput under independent and identical traffic with uniform distributions when using random selections. The proposed mSMCB switch is extended to support differentiated services and long RTT. To support P traffic classes with different priorities, CICB switches have been reported to use N2x k x L x P amount of memory to avoid blocking of high priority cells.The proposed SMCB switch with support for differentiated services requires 1/mP of the memory amount in the buffered crossbar and achieves similar throughput performance to that of a CICB switch with similar priority management, while using no speedup in the shared memory. The throughput performance of SMCB switch with crosspoint buffers shared by inputs (I-SMCB) is studied under multicast traffic. An output-based shared-memory crosspoint buffered (O-SMCB) packet switch is proposed where the crosspoint buffers are shared by two outputs and use no speedup. The proposed O-SMCB switch provides high performance under admissible uniform and nonuniform multicast traffic models while using 50% of the memory used in CICB switches. Furthermore, the O-SMCB switch provides higher throughput than the I-SMCB switch. As SMCB switches can efficiently support an RTT twice as long as that supported by CICB switches and as the performance of SMCB switches is bounded by a matching between inputs and crosspoint buffers, a new family of CICB switches with flexible access to crosspoint buffers are proposed to support longer RTTs than SMCB switches and to provide higher throughput under a wide variety of admissible traffic models. The CICB switches with flexible access allow an input to use any available crosspoint buffer at a given output. The proposed switches reduce the required crosspoint buffer size by a factor of N , keep the service of cells in sequence, and use no speedup. This new class of switches achieve higher throughput performance than CICB switches under a large variety of traffic models, while supporting long RTTs. Crosspoint buffered switches that are implemented in single chips have limited scalability. To support a large number of ports in crosspoint buffered switches, memory-memory-memory (MMM) Clos-network switches are an alternative. The MMM switches that use minimum memory amount at the central module is studied. Although, this switch can provide a moderate throughput, MMM switch may serve cells out of sequence. As keeping cells in sequence in an MMM switch may require buffers be distributed per flow, an MMM with extended memory in the switch modules is studied. To solve the out of sequence problem in MMM switches, a queuing architecture is proposed for an MMM switch. The service of cells in sequence is analyzed

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

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

The Edge Group Coloring Problem with Applications to Multicast Switching

This paper introduces a natural generalization of the classical edge coloring problem in graphs that provides a useful abstraction for two well-known problems in multicast switching. We show that the problem is NP-hard and evaluate the performance of several approximation algorithms, both analytically and experimentally. We find that for random χ-colorable graphs, the number of colors used by the best algorithms falls within a small constant factor of χ, where the constant factor is mainly a function of the ratio of the number of outputs to inputs. When this ratio is less than 10, the best algorithms produces solutions that use fewer than 2χ colors. In addition, one of the algorithms studied finds high quality approximate solutions for any graph with high probability, where the probability of a low quality solution is a function only of the random choices made by the algorithm

Blocking Probability of Bicast Connections in a Rearrangeable Clos Network

Abstract-Clos networks, which are ubiquitous in large capacity switches, have been widely studied for unicast connection requests. But most of these results do not hold when the switch has to support multicast connections. Our interest is specifically in bicast connections which are required for setting up backup protected circuits in optical backbone networks. In this work we have studied the non-blocking properties of rearrangeable Clos switches. Furthermore, we have developed expressions to estimate the blocking probability when the non-blocking conditions are not met. We have also run simulations to determine the blocking probability which correspond well with the estimates. We have considered two ways of realizing a bicast connection -by splitting the circuit at the outer stage or at the middle stage

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