The Influence of the Traffic Self-similarity on the Choice of the Non-integer Order PI ^\alpha Controller Parameters

The article discusses the problem of choosing the best parameters of the non-integer order \(PI^{\alpha }\) controller used in IP routers Active Queue Management for TCP/IP traffic flow control. The impact of the self-similarity of the traffic on the controller parameters is investigated with the use of discrete event simulation. We analyze the influence of these parameters on the length of the queue, the number of rejected packets and waiting times. The results indicate that the controller parameters strongly depend on the value of the Hurst parameter.

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