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Some results on the self-similarity property in communication networks

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3 Author(s)
Shibin Song ; Dept. of Risk Manage. & Insurance, Zhongshan Univ., Guangzhou, China ; Ng, J.K.-Y. ; Bihai Tang

Due to the strong experimental evidence that packet network traffic is self-similar in nature, it is important to study the problems to see whether the superposition of self-similar processes retains the property of self-similarity, and whether the service of a server changes the self-similarity property of the input traffic. In this letter, we first discuss some definitions and superposition properties of self-similar processes. We obtain some good results about the property of merging self-similar data streams. Then we present a model of a single server with infinite buffer and prove that when the queue length has finite second-order moment, the input process, being strong asymptotically second-order self-similar (sas-s), is equivalent to the output process which also bears the sas-s property.

Published in:

Communications, IEEE Transactions on  (Volume:52 ,  Issue: 10 )