Strong Performance Guarantees for Asynchronous Buffered Crossbar Schedulers

Crossbar-based switches are commonly used to implement routers with throughputs up to about 1 Tb/s. The advent of crossbar scheduling algorithms that provide strong performance guarantees now makes it possible to engineer systems that perform well, even under extreme traffic conditions. Until recently, such performance guarantees have only been developed for crossbars that switch cells rather than variable length packets. Cell-based crossbars incur a worst-case bandwidth penalty of up to a factor of two, since they must fragment variable length packets into fixed length cells. In addition, schedulers for cell-based crossbars may fail to deliver the expected performance guarantees when used in routers that forward packets. We show how to obtain performance guarantees for asynchronous crossbars that are directly comparable to those previously developed for synchronous, cell-based crossbars. In particular we define derivatives of the Group by Virtual Output Queue (GVOQ) scheduler of Chuang et al. and the Least Occupied Output First Scheduler of Krishna et al. and show that both can provide strong performance guarantees in systems with speedup 2. Specifically, we show that these schedulers are work-conserving and that they can emulate an output-queued switch using any queueing discipline in the class of restricted Push-In, First-Out queueing disciplines. We also show that there are schedulers for segment-based crossbars, (introduced recently by Katevenis and Passas) that can deliver strong performance guarantees with small buffer requirements and no bandwidth fragmentation

Size-Based Flow Scheduling in a CICQ Switch

In the context of flow-aware networking, size-based (SB) scheduling policies have been shown to improve response times of small flows, without degrading the performance of large flows. But these differentiating policies are designed for Output-queued (OQ) switch architecture, which is known to have scalability issues. On the other hand, the buffered-crossbar (BX) switch architecture is currently being pursued as a potential next-generation scalable switch architecture. This work looks into the problem of performing SB scheduling in BX switches. In particular, the design goals, with respect to each output port, are (i) to transmit high-priority packet(s) as long as there is at least one present, and (ii) to respect the FIFO order among high-priority packets. In this direction, we propose a CICQ switches using a single PIFO queue at each crosspoint to schedule packets according to the priority assigned. pCICQ-1 switch uses a simple design to guarantee that packet-priorities are respected once they are in the crosspoint queues. But it does not maintain the FIFO order of high-priority packets, besides letting a bounded number low-priority packets to depart through an output, when there are one or more high-priority packets for the same output. To solve this, we propose an enhancement in pCICQ-2 switch, that uses a sequence controller to respect packet-priorities as well as arrival order for high-priority packets

Design and stability analysis of high performance packet switches

With the rapid development of optical interconnection technology, high-performance packet switches are required to resolve contentions in a fast manner to satisfy the demand for high throughput and high speed rates. Combined input-crosspoint buffered (CICB) switches are an alternative to input-buffered (IB) packet switches to provide high-performance switching and to relax arbitration timing for packet switches with high-speed ports. A maximum weight matching (MWM) scheme can provide 100% throughput under admissible traffic for lB switches. However, the high complexity of MWM prohibits its implementation in high-speed switches. In this dissertation, a feedback-based arbitration scheme for CICB switches is studied, where cell selection is based on the provided service to virtual output queues (VOQs). The feedback-based scheme is named round-robin with adaptable frame size (RR-AF) arbitration. The frame size in RR-AF is adaptably changed by the serviced and unserviced traffic. If a switch is stable, the switch provides 100% throughput. Here, it is proved that RR-AF can achieve 100% throughput under uniform admissible traffic. Switches with crosspoint buffers need to consider the transmission delays, or round-trip times to define the crosspoint buffer size. As the buffered crossbar switch can be physically located far from the input ports, actual round-trip times can be non-negligible. To support non-negligible round-trip times in a buffered crossbar switch, the crosspoint buffer size needs to be increased. To satisfy this demand, this dissertation investigates how to select the crosspoint buffer size under non-negligible round trip times and under uniform traffic. With the analysis of stability margin, the relationship between the crosspoint buffer size and round-trip time is derived. Considering that CICB switches deliver higher performance than lB switches and require no speedup, this dissertation investigates the maximum throughput performance that these switches can achieve. It is shown that CICB switches without speedup achieve 100% throughput under any admissible traffic through a fluid model. In addition, a new hybrid scheme, based on longest queue-first (as input arbitration) and longest column occupancy first (as output arbitration) is proposed, which achieves 100% throughput under uniform and non-uniform traffic patterns. In order to give a better insight of the feedback nature of arbitration scheme for CICB switches, a frame-based round-robin arbitration scheme with explicit feedback control (FRE) is introduced. FRE dynamically sets the frame size according to the input load and to the accumulation of cells in a VOQ. FRE is used as the input arbitration scheme and it is combined with RR, PRR, and FRE as output arbitration schemes. These combined schemes deliver high performance under uniform and nonuniform traffic models using a buffered crossbar with one-cell crosspoint buffers. The novelty of FRE lies in that each VOQ sets the frame size by an adjustable parameter, Δ(i,j) which indicates the degree of service needed by VOQ(i, j). This value is adjusted according to the input loading and the accumulation of cells experienced in previous service cycles. This dissertation also explores an analysis technique based on feedback control theory. This methodology is proposed to study the stability of arbitration and matching schemes for packet switches. A continuous system is used and a control model is used to emulate a queuing system. The technique is applied to a matching scheme. In addition, the study shows that the dwell time, which is defined as the time a queue receives service in a service opportunity, is a factor that affects the stability of a queuing system. This feedback control model is an alternative approach to evaluate the stability of arbitration and matching schemes

Dynamic Voltage and Frequency Scaling Control for Crossbars in Input-Queued Switches

The power consumption in chips, in general, and in crossbars switching fabrics, in particular, grows with the maximum sustainable throughput. Due to the fast increasing traffic demands, the performance scalability of crossbars is severely limited by the capability of cooling the hardware devices. Hence, reducing the power consumption is an important design question to improve the crossbar switching performance. We propose to leverage Dynamic Voltage and Frequency Scaling (DVFS) hardware technique for the switching fabric. The main idea is to exploit temporary underloaded conditions to decrease the crossbar transmission rate while preserving maximum throughput. Differently from previous works, we consider a scenario in which the arrival rates are unknown in advance. Our proposed architecture is based on a power controller which runs periodically and independently of the packet scheduler, and whose decisions are based on the real time estimation of the arrival rates. We discuss the performance tradeoff in terms of throughput, delays and power, and show the relevant performance gain due to the use of DVFS in controlling the crossba

Load balancing and scalable clos-network packet switches

In this dissertation three load-balancing Clos-network packet switches that attain 100% throughput and forward cells in sequence are introduced. The configuration schemes and the in-sequence forwarding mechanisms devised for these switches are also introduced. Also proposed is the use of matrix analysis as a tool for throughput analysis. In Chapter 2, a configuration scheme for a load-balancing Clos-network packet switch that has split central modules and buffers in between the split modules is introduced. This switch is called split-central-buffered Load-Balancing Clos-network (LBC) switch and it is cell based. The switch has four stages, namely input, central-input, central-output, and output stages. The proposed configuration scheme uses a pre-determined and periodic interconnection pattern in the input and split central modules to load-balance and route traffic. The LBC switch has low configuration complexity. The operation of the switch includes a mechanism applied at input and split-central modules to forward cells in sequence. The switch achieves 100% throughput under uniform and nonuniform admissible traffic with independent and identical distributions (i.i.d.). The high switching performance and low complexity of the switch are achieved while performing in-sequence forwarding and without resorting to memory speedup or central-stage expansion. This discussion includes both throughput analysis, where the operations that the configuration mechanism performs on the traffic traversing the switch are described, and a proof of in-sequence forwarding. Simulation analysis is presented as a practical demonstration of the switch performance on uniform and nonuniform i.i.d. traffic.In Chapter 3, a three-stage load balancing packet switch and its configuration scheme are introduced. The input- and central-stage switches are bufferless crossbars and the output-stage switches are buffered crossbars. This switch is called ThRee-stage Clos-network swItch and has queues at the middle stage and DEtermiNisTic scheduling (TRIDENT) and it is cell based. The proposed configuration scheme uses a pre-determined and periodic interconnection pattern in the input and central modules to load-balance and route traffic; therefore, it has low configuration complexity. The operation of the switch includes a mechanism applied at input and output modules to forward cells in sequence. In Chapter 4, a highly scalable load balancing three-stage Clos-network switch with Virtual Input-module output queues at ceNtral stagE (VINE) and crosspoint-buffers at output modules and its configuration scheme are introduced. VINE uses space switching in the first stage and buffered crossbars in the second and third stages. The proposed configuration scheme uses pre-determined and periodic interconnection patterns in the input modules for load balancing. The mechanism applied at the inputs, used to forward cells in sequence, is also introduced. VINE achieves 100% throughput under uniform and nonuniform admissible i.i.d. traffic. VINE achieves high switching performance, low configuration complexity, and in-sequence forwarding without resorting to memory speedup. In Chapter 5, matrix analysis is introduced as a tool for modeling, describing the internal operations, and analyzing the throughput of a packet switch

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

Efficient Variable Length Block Switching Mechanism

Most popular and widely used packet switch architecture is the crossbar. Its attractive characteristics are simplicity, non-blocking and support for simultaneous multiple packet transmission across the switch. The special version of crossbar switch is Combined Input Crossbar Queue (CICQ) switch. It overcomes the limitations of un-buffered crossbar by employing buffers at each crosspoint in addition to buffering at each input port. Adoption of Crosspoint Buffer (CB) simplifies the scheduling complexity and adapts the distributed nature of scheduling. As a result, matching operation is not needed. Moreover, it supports variable length packets transmission without segmentation. Native switching of variable length packet transmission results in unfairness. To overcome this unfairness, Fixed Length Block Transfer mechanism has been proposed. It has the following drawbacks: (a) Fragmented packets are reassembled at the Crosspoint Buffer (CB). Hence, minimum buffer requirement at each crosspoint is twice the maximum size of the block. When number of ports are more, existence of such a switch is infeasible, due to the restricted memory available in switch core. (b) Reassembly circuit at each crosspoint adds the cost of the switch. (c) Packet is eligible to transfer from CB to output only when the entire packet arrives at the CB, which increases the latency of the fragmented packet in the switch. To overcome these drawbacks, this paper presents Variable Length Block Transfer mechanism. It does not require internal speedup, segmentation and reassembly circuits. Using simulation it is shown that proposed mechanism is superior to Fixed Length Block Transfer mechanism in terms of delay and throughput