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Wide-Area Traffic: The Failure of Poisson Modeling
- IEEE/ACM TRANSACTIONS ON NETWORKING
, 1995
"... Network arrivals are often modeled as Poisson processes for analytic simplicity, even though a number of traffic studies have shown that packet interarrivals are not exponentially distributed. We evaluate 24 wide-area traces, investigating a number of wide-area TCP arrival processes (session and con ..."
Abstract
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Cited by 1255 (20 self)
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Network arrivals are often modeled as Poisson processes for analytic simplicity, even though a number of traffic studies have shown that packet interarrivals are not exponentially distributed. We evaluate 24 wide-area traces, investigating a number of wide-area TCP arrival processes (session and connection arrivals, FTP data connection arrivals within FTP sessions, and TELNET packet arrivals) to determine the error introduced by modeling them using Poisson processes. We find that user-initiated TCP session arrivals, such as remotelogin and file-transfer, are well-modeled as Poisson processes with fixed hourly rates, but that other connection arrivals deviate considerably from Poisson; that modeling TELNET packet interarrivals as exponential grievously underestimates the burstiness of TELNET traffic, but using the empirical Tcplib [Danzig et al, 1992] interarrivals preserves burstiness over many time scales; and that FTP data connection arrivals within FTP sessions come bunched into “connection bursts,” the largest of which are so large that they completely dominate FTP data traffic. Finally, we offer some results regarding how our findings relate to the possible self-similarity of widearea traffic.
Empirically-Derived Analytic Models of Wide-Area TCP Connections: Extended Report
, 1994
"... We analyze 2.5 million TCP connections that occurred during 14 wide-area traffic traces. The traces were gathered at five "stub" networks and two internetwork gateways, providing a diverse look at wide-area traffic. We derive analytic models describing the random variables associated with telnet, nn ..."
Abstract
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Cited by 174 (16 self)
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We analyze 2.5 million TCP connections that occurred during 14 wide-area traffic traces. The traces were gathered at five "stub" networks and two internetwork gateways, providing a diverse look at wide-area traffic. We derive analytic models describing the random variables associated with telnet, nntp, smtp, and ftp connections, and present a methodology for comparing the effectiveness of the analytic models with empirical models such as tcplib [DJ91]. Overall we find that the analytic models provide good descriptions, generally modeling the various distributions as well as empirical models and in some cases better.
Multiplexing Traffic at the Entrance to Wide-Area Networks
, 1992
"... Many application-level traffic streams, or conversations, are multiplexed at the points where local-area networks meet the wide-area portion of an internetwork. Multiplexing policies and mechanisms acting at these points should provide good performance to each conversation, allocate network resource ..."
Abstract
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Cited by 12 (0 self)
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Many application-level traffic streams, or conversations, are multiplexed at the points where local-area networks meet the wide-area portion of an internetwork. Multiplexing policies and mechanisms acting at these points should provide good performance to each conversation, allocate network resources fairly among conversations, and make efficient use of network resources. In order to characterize wide-area network traffic, we have analyzed traces from four Internet sites. We identify characteristics common to all conversations of each major type of traffic, and find that these characteristics are stable across time and geographic site. Our results contradict many prevalent beliefs. For example, previous simulation models of wide-area traffic have assumed bulk transfers ranging from 80 Kilobytes to 2 Megabytes of data. In contrast, we find that up to 90% of all bulk transfers involve 10 Kilobytes or less. This and other findings may affect results of previous studies and should be taken into account in future models of wide-area traffic. We derive from our traces a new workload model for driving simulations of wide-area internetworks. It generates traffic for individual conversations of each major type of traffic. The model accurately and efficiently reproduces behavior specific to each traffic type by sampling measured probability distributions through the inverse transform method. Our model is valid for network conditions other than those prevalent during the measurements because it samples only network-independent traffic characteristics. We also describe a new wide-area internetwork simulator that includes both our workload model and realistic models of network components. We then present a simulation study of policies for multiplexing datagrams over virtual circu...
Figure 14: Distribution of NNTP Originator Bytes (recall that the X axis is scaled logarithmically), suggesting that scaling is vital when modeling
"... this paper is that while wide-area traffic cannot be easily modeled exactly, if we can abide some inexactness then we can reap the benefits of using analytic models instead of empirical ones, without any relative loss of accuracy. We believe the approach discussed in this paper will prove beneficial ..."
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this paper is that while wide-area traffic cannot be easily modeled exactly, if we can abide some inexactness then we can reap the benefits of using analytic models instead of empirical ones, without any relative loss of accuracy. We believe the approach discussed in this paper will prove beneficial for developing future analytic models and for gauging their effectiveness. 9 Acknowledgments

