Bernoulli Arrival Process and Random Traffic On–Off Model and Bursty Traffic
3.1.2 Traffic Models and Related Throughput Results
This subsection briefly describes how the FIFO service discipline limits the throughput under some different traffic models. Detailed analytical results are described in Section 2.3.1.3.1.2.1 Bernoulli Arrival Process and Random Traffic
Cells arrive at each input in a slot-by-slot manner. Under Bernoulli arrival process, the probability that there is a cell arriving in each time slot is identical and is independent of any other slot. This probability is referred as the offered load of the input. If each cell is equally likely to be destined for any output, the traffic becomes uniformly distributed over the switch. Consider the FIFO service discipline at each input. Only the HOL cells contend for access to the switch outputs. If every cell is destined for a different output, the switch fabric allows each to pass through to its output. If k HOL cells are destined for the same output, one is allowed to pass through the switch, and the other k y 1 must wait until the next time slot. While one cell is waiting its turn for access to an output, other cells may be queued behind it and blocked from possibly reaching idle outputs. A Markov model can be established to evaluate the saturated throughput when N is small. 1 When N is large, the slot-by-slot number of HOL cells destined for a particular output becomes a Poisson process. As described in Section 2.3.1, the HOL blocking limits the maximum throughput to 0.586 when N ™ ⬁.3.1.2.2 On–Off Model and Bursty Traffic
In the bursty traffic model, each input alternates between active and idle periods of geometrically distributed duration. During an active period, cells destined for the same output arrive continuously in consecutive time slots. The probability that an active or an idle period will end at a time slot is fixed. Denote p and q as the probabilities for an active and for an idle period, respectively. The duration of an active or an idle period is geometrically distributed as expressed in the following: w x Ž . iy1 Pr An active period s i slots sp 1 y p , i G 1, j w x Ž . Pr An idle period s j slots sq 1 y q , j G 0. Note that it is assumed that there is at least one cell in an active period. An active period is usually called a burst. The mean burst length is then given by ⬁ 1 iy1 b s ip 1 y p s , Ž . Ý p is1 1 Consider the state as one of the different destination combinations among the HOL cells. METHODS FOR IMPROVING PERFORMANCEParts
» ATM Switch Structure ATM SWITCH SYSTEMS
» DESIGN CRITERIA AND PERFORMANCE REQUIREMENTS
» Internal Link Blocking Output Port Contention Head-of-Line Blocking
» Shared-Medium Switch Time-Division Switching
» Single-Path Switches Space-Division Switching
» Multiple-Path Switches Space-Division Switching
» Internally Buffered Switches Recirculation Buffered Switches
» Input- and Output-Buffered Switches Virtual-Output-Queueing Switches
» Input-Buffered Switches PERFORMANCE OF BASIC SWITCHES
» Output-Buffered Switches PERFORMANCE OF BASIC SWITCHES
» Completely Shared-Buffer Switches PERFORMANCE OF BASIC SWITCHES
» Bernoulli Arrival Process and Random Traffic On–Off Model and Bursty Traffic
» Multiline Input Smoothing Speedup Parallel Switch
» Window-Based Lookahead Selection Increasing Scheduling Efficiency
» VOQ-Based Matching Increasing Scheduling Efficiency
» Parallel Iterative Matching PIM Iterative Round-Robin Matching iRRM
» Iterative Round-Robin with SLIP i SLIP
» Dual Round-Robin Matching DRRM
» Round-Robin Greedy Scheduling SCHEDULING ALGORITHMS
» Bidirectional Arbiter Design of Round-Robin Arbiters r
» Token Tunneling This section introduces a more efficient arbi-
» Most-Urgent-Cell-First Algorithm MUCFA OUTPUT-QUEUING EMULATION
» Critical Cell First CCF Last In, Highest Priority LIHP
» LOWEST-OUTPUT-OCCUPANCY-CELL-FIRST JONATHAN CHAO CHEUK LAM
» LINKED LIST APPROACH JONATHAN CHAO CHEUK LAM
» CONTENT-ADDRESSABLE MEMORY APPROACH JONATHAN CHAO CHEUK LAM
» Washington University Gigabit Switch
» Shared-Memory Switch with a Multicast Logical Queue Shared-Memory Switch with Cell Copy
» Shared-Memory Switch with Address Copy
» BANYAN NETWORKS JONATHAN CHAO CHEUK LAM
» Three-Phase Implementation Ring Reservation
» BATCHER-SORTING NETWORK THE SUNSHINE SWITCH
» Tandem Banyan Switch DEFLECTION ROUTING
» Shuffle-Exchange Network with Deflection Routing
» Dual Shuffle-Exchange Network with Error-Correcting Routing
» Generalized Self-Routing Algorithm Broadcast Banyan Network
» Boolean Interval Splitting Algorithm Nonblocking Condition of Broadcast Banyan Networks A
» Encoding Process MULTICAST COPY NETWORKS
» Concentration Decoding Process Overflow and Call Splitting
» A. Cyclic Running Adder Network Figure 5.34 shows the struc-
» Concentration The starting point in a CRAN may not be port 0,
» Basic Architecture SINGLE-STAGE KNOCKOUT SWITCH
» Knockout Concentration Principle SINGLE-STAGE KNOCKOUT SWITCH
» Construction of the Concentrator
» Maximum Throughput CHANNEL GROUPING PRINCIPLE
» Two-Stage Configuration A TWO-STAGE MULTICAST OUTPUT-BUFFERED ATM SWITCH
» Multicast Grouping Network A TWO-STAGE MULTICAST OUTPUT-BUFFERED ATM SWITCH
» Translation Tables A TWO-STAGE MULTICAST OUTPUT-BUFFERED ATM SWITCH
» Cross-Stuck CS Fault Toggle-Stuck TS Fault Verticalr
» Toggle-Stuck and Cross-Stuck Cases
» Vertical-Stuck and Horizontal-Stuck Cases
» Cross-Stuck and Toggle-Stuck Cases
» Vertical-Stuck Case Horizontal-Stuck SWE Case
» APPENDIX JONATHAN CHAO CHEUK LAM
» BASIC ARCHITECTURE JONATHAN CHAO CHEUK LAM
» MULTICAST CONTENTION RESOLUTION ALGORITHM
» IMPLEMENTATION OF INPUT PORT CONTROLLER
» Cell Loss Probability PERFORMANCE
» ATM ROUTING AND CONCENTRATION CHIP
» Memoryless Multistage Concentration Network
» Buffered Multistage Concentration Network
» Resequencing Cells ENHANCED ABACUS SWITCH
» Complexity Comparison ENHANCED ABACUS SWITCH
» Packet Interleaving ABACUS SWITCH FOR PACKET SWITCHING
» Cell Interleaving ABACUS SWITCH FOR PACKET SWITCHING
» MSDA Structure MULTIPLE-QOS SDA SWITCH
» OVERVIEW OF CROSSPOINT-BUFFERED SWITCHES OVERVIEW OF INPUT
» Basic Architecture Unicasting Operation
» ROUTING PROPERTIES AND SCHEDULING METHODS
» A SUBOPTIMAL STRAIGHT MATCHING METHOD
» Basic Architecture Distributed and Random Arbitration
» Basic Architecture THE CONTINUOUS ROUND-ROBIN DISPATCHING SWITCH
» Concurrent Round-Robin Dispatching Scheme
» Homogeneous Capacity and Route Assignment
» The Staggering Switch ALL-OPTICAL PACKET SWITCHES
» HYPASS OPTOELECTRONIC PACKET SWITCHES
» STAR-TRACK OPTOELECTRONIC PACKET SWITCHES
» Cisneros and Brackett’s Architecture
» Basic Architecture THE 3M SWITCH
» Cell Delineation Unit THE 3M SWITCH
» VCI-Overwrite Unit Cell Synchronization Unit
» Input and Output Forwarding Engines Input and Output Switch Interfaces
» Route Controller Router Module and Route Controller
» Input Optical Module Output Optical Module Tunable Filters
» Principles of Ping-Pong Arbitration Consider an N-input
» Performance of PPA Implementation of PPA
» Priority PPA Ping-Pong Arbitration Unit
» Component Complexity OIN Complexity
» Power Budget Analysis OPTICAL INTERCONNECTION NETWORK FOR
» Crosstalk Analysis OPTICAL INTERCONNECTION NETWORK FOR
» System Considerations WIRELESS ATM STRUCTURE OVERVIEWS
» NEC’s WATMnet Prototype System
» Olivetti’s Radio ATM LAN Virtual Connection Tree
» BAHAMA Wireless ATM LAN NTT’s Wireless ATM Access
» Radio Physical Layer RADIO ACCESS LAYERS
» Medium Access Control Layer Data Link Control Layer
» Connection Rerouting HANDOFF IN WIRELESS ATM
» Buffering Cell Routing in a COS
» Design of a Mobility-Support Switch
» Performance MOBILITY-SUPPORT ATM SWITCH
» Architectures of Generic Routers
» IP ROUTE LOOKUP BASED ON CACHING TECHNIQUE IP ROUTE LOOKUP BASED ON STANDARD
» Levels 2 and 3 of Data Structure
» Adapting Binary Search for Best-Matching Prefix
» Precomputed 16-Bit Prefix Table Multiway Binary Search: Exploiting the Cache Line
» Lookup Algorithms and Data Structure Construction
» Prefix Update Algorithms IP ROUTE LOOKUPS USING TWO-TRIE STRUCTURE
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