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History of network traffic models : ウィキペディア英語版
History of network traffic models

The design of robust and reliable networks and network services is becoming increasingly difficult in today's world. The only path to achieve this goal is to develop a detailed understanding of the traffic characteristics of the network. Demands on computer networks are not entirely predictable. The success of a network depends on the development of effective services. An accurate estimation of network performance is critical for the success of any networks. Performance modeling is necessary for deciding the quality of service (QoS) level. Performance models in turn, require very accurate traffic models that have the ability to capture the statistical characteristics of the actual traffic on the network. Many traffic models have been developed based on traffic measurement data. If the underlying traffic models do not efficiently capture the characteristics of the actual traffic, the result may be the under-estimation or over-estimation of the performance of the network. This would totally impair the design of the network. Traffic Models are hence, a core component of any the performance evaluation of networks and they need to be very accurate.
==History==
“Teletraffic theory is the application of mathematics to the measurement, modeling, and control of traffic in telecommunications networks (Willinger and Paxson, 1998). The aim of traffic modeling is to find stochastic processes to represent the behavior of traffic. Working at the Copenhagen Telephone Company in the 1910s, A. K. Erlang famously characterized telephone traffic at the call level by certain probability distributions for arrivals of new calls and their holding times. Erlang applied the traffic models to estimate the telephone switch capacity needed to achieve a given call blocking probability. The Erlang blocking formulas had tremendous practical interest for public carriers because telephone facilities (switching and transmission) involved considerable investments. Over several decades, Erlang’s work stimulated the use of queuing theory, and applied probability in general, to engineer the public switched telephone network. Teletraffic theory for packet networks has seen considerable progress in recent decades (Adas, 1997; Frost and Melamed, 1994; Michiel and Laevens, 1997; Park and Willinger, 2000). Significant advances have been made in long-range dependence, wavelet, and multi fractal approaches. At the same time, traffic modeling continues to be challenged by evolving network technologies and new multimedia applications. For example, wireless technologies allow greater mobility of users. Mobility must be an additional consideration for modeling traffic in wireless networks (Thajchayapong and Peha, 2006; Wu, Lin, and Lan, 2002). Traffic modeling is clearly an ongoing process without a real end. Traffic models represent our best current understanding of traffic behavior, but our understanding will change and grow over time. ”()

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