An efficient cell-scheduling algorithm for multicast ATM switchingsystems

We propose an efficient multicast cell-scheduling algorithm, called multiple-slot cell-scheduling algorithm, for multicast ATM switching systems with input queues. Cells in an input-queueing system are usually served based on the first-in-first-out (FIFO) discipline, which may have a serious head-of-line (HOL) blocking problem. Our algorithm differs from previous algorithms in that we consider the output contention resolution for multiple time slots instead of the current time slot only. Like a window-based scheduling algorithm, our algorithm allows cells behind an HOL cell to be transmitted prior to the HOL cell in the same input port. Thus, HOL blocking can be alleviated. We have illustrated that the delay-throughput performance of our algorithm outperforms most of those algorithms that consider only the output contention resolution for the current time slot. We also present a simple and efficient architecture for realizing our algorithm, which can dramatically reduce the time complexity. We believe that the proposed architecture is very suitable for multicast asynchronous transfer mode (ATM) switching systems with input queues     

NN based ATM cell scheduling with queue length-based priorityscheme

The asynchronous transfer mode (ATM) is the choice of transport mode for broadband integrated service digital networks (B-ISDNs). We propose a window-based contention resolution algorithm to achieve higher throughput for nonblocking switches in ATM environments. In a nonblocking switch with input queues, significant loss of throughput can occur due to head-of-line (HOL) blocking when first-in first-out (FIFO) queueing is employed. To resolve this problem, we employ bypass queueing and present a cell scheduling algorithm which maximizes the switch throughput. We also employ a queue length based priority scheme to reduce the cell delay variations and cell loss probabilities. With the employed priority scheme, the variance of cell delay is also significantly reduced under nonuniform traffic, resulting in lower cell loss rates (CLRs) at a given buffer size. As the cell scheduling controller, we propose a neural network (NN) model which uses a high degree of parallelism. Due to higher switch throughput achieved with our cell scheduling, the cell loss probabilities and the buffer sizes necessary to guarantee a given CLR become smaller than those of other approaches based on sequential input window scheduling or output queueing     

Preventing internal and external conflicts in an input buffering reverse baseline ATM switch

When two or more packets that are destined to the same output of an ATM switch arrive at different inputs, buffers at inputs or outputs are used to queue all but one of these packets so that external conflict is prevented. Although input buffering ATM switches are more economical and simpler than output buffering ATM switches, significant loss of throughput can occur in input buffering ATM switches due to head‐of‐line (HOL) blocking when first‐in–first‐out (FIFO) queueing is employed. In order to avoid both external conflict and alleviate HOL blocking in non‐blocking ATM switches, some window‐based contention resolution algorithms were proposed in the literature. In this paper, we propose a window‐based contention resolution algorithm for a blocking ATM switch based on reverse baseline network with content addressable FIFO (CAFIFO) input buffers. The proposed algorithm prevents not only external conflicts but also internal conflicts, in addition to alleviating HOL blocking. This algorithm was obtained by adapting the ring reservation algorithm used on non‐blocking ATM switches to a reverse baseline network. The fact that a non‐blocking network is replaced by a log₂ N‐stage reverse baseline network yields a significant economy in implementation. We have conducted extensive simulations to evaluate the performance of reverse baseline network using the proposed window‐based contention resolution algorithm. Simulation results show that the throughput of reverse baseline network can be as good as the throughput of non‐blocking switches if the window depth of input buffers is made sufficiently large. Copyright © 2000 John Wiley & Sons, Ltd.     

Achieving 100% throughput in an input-queued switch

It is well known that head-of-line blocking limits the throughput of an input-queued switch with first-in-first-out (FIFO) queues. Under certain conditions, the throughput can be shown to be limited to approximately 58.6%. It is also known that if non-FIFO queueing policies are used, the throughput can be increased. However, it has not been previously shown that if a suitable queueing policy and scheduling algorithm are used, then it is possible to achieve 100% throughput for all independent arrival processes. In this paper we prove this to be the case using a simple linear programming argument and quadratic Lyapunov function. In particular, we assume that each input maintains a separate FIFO queue for each output and that the switch is scheduled using a maximum weight bipartite matching algorithm. We introduce two maximum weight matching algorithms: longest queue first (LQF) and oldest cell first (OCF). Both algorithms achieve 100% throughput for all independent arrival processes. LQF favors queues with larger occupancy, ensuring that larger queues will eventually be served. However, we find that LQF can lead to the permanent starvation of short queues. OCF overcomes this limitation by favoring cells with large waiting times     

Nonuniform traffic analysis on a nonblocking space-division packetswitch

The nonuniform traffic performance on a nonblocking space division packet switch is studied. When an output link is simultaneously contended by multiple input packets, only one can succeed, and the rest will be buffered in the queues associated with each input link. given the condition that the traffic on each output is not dominated by individual inputs, this study indicates that the output contention involved by packets at the head of input queues can be viewed as an independent phase-type process for a sufficiently large size of the switch. Therefore, each input queue can be modeled by an independent Geom/PH/1 queueing process. Once the relative input traffic intensities and their output address assignment functions are defined, a general formulation can be developed for the maximum throughput of the switch in saturation. The result indicates under what condition the input queue will saturate. A general solution technique for the evaluation of the queue length distribution is proposed. The numerical study based on this analysis agrees well with simulation results     

Analysis of input and output queueing for nonblocking ATM switches

A switch model for ATM networks is analyzed. Its interconnection network is internally nonblocking and is provided with dedicated input and output queues, one per switch inlet and one per switch outlet. The switch operates with an internal speed-up: more than one packet per slot can be transferred from the head-of-line positions of the input queues to each output queue by the interconnection network. Two different operation modes are considered for the interaction between input and output queues: backpressure mode and queue loss mode. The analytical model developed for the evaluation of the switch performance under random traffic assumes an infinite size for the switch, arbitrary values for input and output queue size, as well as for the speed-up factor. Switch throughput, packet delay and loss performance are evaluated and the analytical model accuracy is assessed using computer simulation results     

Analysis of packet switches with input and output queuing

A single-stage nonblocking N*N packet switch with both output and input queuing is considered. The limited queuing at the output ports resolves output port contention partially. Overflow at the output queues is prevented by a backpressure mechanism and additional queuing at the input ports. The impact of the backpressure effect on the switch performance for arbitrary output buffer sizes and for N to infinity is studied. Two different switch models are considered: an asynchronous model with Poisson arrivals and a synchronous model with Bernoulli arrivals. The investigation is based on the average delay and the maximum throughput of the switch. Closed-form expressions for these performance measures are derived for operation with fixed size packets. The results demonstrate that a modest amount of output queuing, in conjunction with appropriate switch speedup, provides significant delay and throughput improvements over pure input queuing. The maximum throughput is the same for the synchronous and the asynchronous switch model, although the delay is different.<>     

A 1.5 Gb/s 8×8 cross-connect switch using a time reservationalgorithm

An input queuing type switching architecture that uses a high-performance contention resolution algorithm to achieve high-speed and large-capacity cross-connect switching is presented. The algorithm, called the time reservation algorithm, features time scheduling and pipeline processing. The performance of this switch is evaluated by computer simulation. The throughput of this switch is about 90%, without requiring high internal operation speeds. Three LSI designs are developed to verify the feasibility of the high-speed switch. They are the input buffer controller LSI, the contention-resolution module LSI, and the space-division switching LSI. The LSIs were constructed with an advanced Si-bipolar high-speed process. Also, 8×8 cross-connect switching boards are introduced. The measured maximum port speed is 1.55 Gb/s     

Delay analysis of interval-searching contention resolution algorithms

The intelligent design of a random multiple-access communication system involves analyzing the tradeoffs among throughput rate, transmission delay, and stability subject to additional restrictions imposed by distributed processing requirements. Interval-searching contention resolution algorithms have been found to achieve high throughput, and simulations have shown that they also possess short average delay. A general approach to the delay analysis of interval-searching contention resolution is proposed based on solving an integral equation for the distribution of a quantity called the transmission lag. For a certain multibit feedback algorithm, this analytical technique leads to exact determination of the throughput-delay characteristic. For the celebrated "0.487" algorithm, the method yields upper and lower bounds to the curve of expected delay versus throughput that are in close agreement with simulation results.     

Design and implementation of Abacus switch: a scalable multicastATM switch

Describes a new architecture for a multicast ATM switch scalable from a few tens to a few thousands of input ports. The switch, called the Abacus switch, has a nonblocking switch fabric followed by small switch modules at the output ports. It has buffers at input and output ports. Cell replication, cell routing, output contention resolution, and cell addressing are all performed in a distributed way so that it can be scaled up to thousands of input and output ports. A novel algorithm has been proposed to resolve output port contention while achieving input buffers sharing, fairness among the input ports, and call splitting for multicasting. The channel-grouping mechanism is also adopted in the switch to reduce the hardware complexity and improve the switch's throughput, while the cell sequence integrity is preserved. The switch can also handle multiple priority traffic by routing cells according to their priority levels. The performance study of the Abacus switch in throughput, average cell delay, and cell loss rate is presented. A key ASIC chip for building the Abacus switch, called the ARC (ATM routing and concentration) chip, contains a two-dimensional array (32×32) of switch elements that are arranged in a crossbar structure. It provides the flexibility of configuring the chip into different group sizes to accommodate different ATM switch sizes. The ARC chip has been designed and fabricated using 0.8 μm CMOS technology and tested to operate correctly at 240 MHz     

Two-dimensional round-robin schedulers for packet switches withmultiple input queues

Presents a new scheduler, the two-dimensional round-robin (2DRR) scheduler, that provides high throughput and fair access in a packet switch that uses multiple input queues. We consider an architecture in which each input port maintains a separate queue for each output. In an N×N switch, our scheduler determines which of the queues in the total of N² input queues are served during each time slot. We demonstrate the fairness properties of the 2DRR scheduler and compare its performance with that of the input and output queueing configurations, showing that our scheme achieves the same saturation throughput as output queueing. The 2DRR scheduler can be implemented using simple logic components, thereby allowing a very high-speed implementation     

On achieving throughput in an input-queued switch

We establish some lower bounds on the speedup required to achieve throughput for some classes of switching algorithms in a input-queued switch with virtual output queues (VOQs). We use a weak notion of throughput, which will only strengthen the results, since an algorithm that cannot achieve weak throughput cannot achieve stronger notions of throughput. We focus on priority switching algorithms, i.e., algorithms that assign priorities to VOQs and forward packets of high priority first. We show a lower bound on the speedup for two fairly general classes of priority switching algorithms: input priority switching algorithms and output priority switching algorithms. An input priority scheme prioritizes the VOQs based on the state of the input queues, while an output priority scheme prioritizes the VOQs based on their output ports. We first show that, for output priority switching algorithms, a speedup S/spl ges/2 is required to achieve weak throughput. From this, we deduce that both maximal and maximum size matching switching algorithms do not imply weak throughput unless S/spl ges/2. The bound of S/spl ges/2 is tight in all cases above, based on a result in Dai et al. Finally, we show that a speedup S/spl ges/3/2 is required for the class of input priority switching algorithms to achieve weak throughput.     

The iSLIP scheduling algorithm for input-queued switches

An increasing number of high performance internetworking protocol routers, LAN and asynchronous transfer mode (ATM) switches use a switched backplane based on a crossbar switch. Most often, these systems use input queues to hold packets waiting to traverse the switching fabric. It is well known that if simple first in first out (FIFO) input queues are used to hold packets then, even under benign conditions, head-of-line (HOL) blocking limits the achievable bandwidth to approximately 58.6% of the maximum. HOL blocking can be overcome by the use of virtual output queueing, which is described in this paper. A scheduling algorithm is used to configure the crossbar switch, deciding the order in which packets will be served. Previous results have shown that with a suitable scheduling algorithm, 100% throughput can be achieved. In this paper, we present a scheduling algorithm called iSLIP. An iterative, round-robin algorithm, iSLIP can achieve 100% throughput for uniform traffic, yet is simple to implement in hardware. Iterative and noniterative versions of the algorithms are presented, along with modified versions for prioritized traffic. Simulation results are presented to indicate the performance of iSLIP under benign and bursty traffic conditions. Prototype and commercial implementations of iSLIP exist in systems with aggregate bandwidths ranging from 50 to 500 Gb/s. When the traffic is nonuniform, iSLIP quickly adapts to a fair scheduling policy that is guaranteed never to starve an input queue. Finally, we describe the implementation complexity of iSLIP. Based on a two-dimensional (2-D) array of priority encoders, single-chip schedulers have been built supporting up to 32 ports, and making approximately 100 million scheduling decisions per second     

Omega network-based ATM switch with neural network-controlledbypass queueing and multiplexing

Multistage interconnection networks (MINs) have long been studied for use in switching networks. Since they have a unique path between source and destination and the intermediate nodes of the paths are shared, internal blocking can cause very poor throughput. This paper proposes a high throughput ATM switch consisting of an Omega network with a new form of input queues called bypass queues. We also improve the switch throughput by partitioning the Input buffers into disjoint buffer sets and multiplexing several sets of nonblocking cells within a time slot, assuming that the routing switch operates only a couple of times faster than the transmission rate. A neural network model is presented as a controller for cell scheduling and multiplexing in the switch. Our simulation results under uniform traffic show that the proposed approach achieves almost 100% of potential switch throughput     

A Study on Deflection Routing in Optical Burst-Switched Networks

A major concern in optical burst-switched networks is contention,which occurs when multiple bursts contend for the same link. While a deflection routing protocol is proposed as one of the contention resolution techniques,there has been no appropriate deflection routing algorithm to find an alternate route. In this paper, we formulate a deflection routing problem based on the burst blocking rate resulting from resource contention in an optical burst-switched network. This algorithm minimizes the contention on the alternate path with the minimum distance. Furthermore, in this paper, we develop an analytical model for the deflection routing time when deflection routing is performed to resolve contention. In this model, we investigate the expected deflection routing time considering that the burst could be dropped even with deflection routing due to another contention on the alternate path. Simulations are conducted to show that there is an improvement in terms of burst loss rate and network throughput.     

The performance analysis and implementation of an input accessscheme in a high-speed packet switch

The performance analysis of an input access scheme in a high-speed packet switch for broadband ISDN is presented. In this switch, each input port maintains a separate queue for each of the outputs, thus n ² input queues in an (n×n) switch. Using synchronous operation, at most one packet per input and output will be transferred in any slot. We derive lower and upper bounds for the throughput which show close to optimal performance. The bounds are very tight and approach to unity for switch sizes on the order of a hundred under any traffic load, which is a significant result by itself. Then the mean packet delay is derived and its variance is bounded. A neural network implementation of this input access scheme is given. The energy function of the network, its optimized parameters and the connection matrix are determined. Simulation results of the neural network fall between the theoretical throughput bounds     

Collision resolution for variable-length messages

A collision resolution algorithm for variable length messages is proposed and studied. Both throughput and delay are obtained. The delay analysis is done at both the packet and message level. Due to reduced contention, this protocol can achieve very high throughput. The effect of channel errors is also studied     

Throughput analysis for multicast switches with multiple input queues

This letter analyzes the saturated throughput for multicast switches with multiple input queues per input port. Under the assumptions of a Poisson uniform traffic model and random packet scheduling policy, we derive the multicast switch saturated throughput under different fanouts. To verify the analysis, extensive simulations are conducted with different switch sizes and fanouts. It is shown that the theoretical analysis and the simulation results have a discrepancy less than 1.9%. Results from this letter can be used as a guidance to design the optimal queuing for multicast switches.     

Performance analysis of the multiple input-queued packet switch with the restricted rule

The multiple input-queued (MIQ) switch is the switch which manages multiple (m) queues in each input port, each of which is dedicated to a group of output ports. Since each input port can switch up to m cells in a time slot, one from each queue, it hardly suffers from the head-of-line (HOL) blocking which is known to be the decisive factor limiting the throughput of the single input-queued (SIQ) switch. As a result, the MIQ switch guarantees enhanced performance characteristics as the number of queues m in an input increases. However, the service of multiple cells from an input could cause internal speedup or expansion of the switch fabric, diluting the merit of high-speed operation in the conventional SIQ scheme. The restricted rule is contrived to circumvent this side effect by regulating the number of cells switched from an input port. We analyze the performance of the MIQ switch employing the restricted rule. For the switch using the restricted rule, the closed formulas for the throughput bound, the mean cell delay and average queue length, and the cell loss bound of the switch are derived as functions of m, by generalizing the analysis for the SIQ switch by J.Y. Hui and E. Arthurs (see IEEE J. Select. Areas Commun., vol.SAC-5, p.1262-73, 1987).     

Collision avoidance and resolution multiple access with transmission queues

We introduce a stable multiple access protocol for broadcast channels shared by bursty stations, which we call CARMA-NTQ (for collision avoidance and resolution multiple access with non-persistence and transmission queues). Like previous efficient MAC protocols based on tree-splitting algorithms (e.g., DQRAP), CARMA-NTQ maintains a distributed queue for the transmission of data packets and a stack for the transmission of control packets used in collision resolution. However, CARMA-NTQ does not require the mini-slots commonly used in protocols based on collision resolution. CARMA-NTQ dynamically divides the channel into cycles of variable length; each cycle consists of a contention period and a queue-transmission period. The queue-transmission period is a variable-length train of packets, which are transmitted by stations that have been added to the distributed transmission queue by successfully completing a collision-resolution round in a previous contention period. During the contention period, stations with packets to send compete for the right to be added to the data-transmission queue using a deterministic first-success tree-splitting algorithm, so that a new station is added to the transmission queue. A lower bound is derived for the average throughput achieved with CARMA-NTQ as a function of the size of the transmission queue and the number of queue-addition requests that need to be resolved. This bound is based on the upper bound on the average number of collision resolution steps needed to resolve a given number of queue-add requests.