• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2001.10a
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• pp.468-471
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• 2001

The classical queuing analysis has been tremendously useful in doing capacity planning and performance prediction. However, in many real-world cases. it has found that the predicted results form a queuing analysis differ substantially from the actual observed performance. Specially, in recent years, a number of studies have demonstrated that for some environments, the traffic pattern is self-similar rather than Poisson. In this paper, we study these self-similar traffic characteristics and the definition of self-similar stochastic processes. Then, we consider the examples of self-similar data traffic, which is reported from recent measurement studies. Finally, we wish you that it makes out about the characteristics of actual data traffic more easily.

• Communications of the Korean Mathematical Society
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• v.30 no.3
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• pp.221-226
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• 2015

The natural projection of a parameter lower (upper) distribution set for a self-similar measure on a self-similar set satisfying the open set condition is the cylindrical lower or upper local dimension set for the Legendre self-similarmeasure which is derived from the self-similar measure and the self-similar set.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.10 no.11
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• pp.3098-3103
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• 2009

In this paper, self-similar characteristics over statistical approaches and real-time Ethernet network traffic measurements are estimated. It is also shown that the self-similar traffic reflects real Ethernet traffic chareacteristics by comparing TCP-MT source model which is exactly self-similar model to the traditional Poisson model.

• Journal of the Korean Mathematical Society
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• v.57 no.2
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• pp.383-399
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• 2020

Following Matsumoto's definition of continuous orbit equivalence for one-sided subshifts of finite type, we introduce the notion of orbit equivalence to canonically associated dynamical systems, called the limit dynamical systems, of self-similar groups. We show that the limit dynamical systems of two self-similar groups are orbit equivalent if and only if their associated Deaconu groupoids are isomorphic as topological groupoids. We also show that the equivalence class of Cuntz-Pimsner groupoids and the stably isomorphism class of Cuntz-Pimsner algebras of self-similar groups are invariants for orbit equivalence of limit dynamical systems.

• The Pure and Applied Mathematics
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• v.14 no.1 s.35
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• pp.1-5
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• 2007

We study the topological magnitude of a special subset from the distribution subsets in a self-similar Cantor set. The special subset whose every element has no accumulation point of a frequency sequence as some number related to the similarity dimension of the self-similar Cantor set is of the first category in the self-similar Cantor set.

• Journal of applied mathematics & informatics
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• v.23 no.1_2
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• pp.497-503
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• 2007

We consider a non-empty subset having same local dimension of a self-similar measure on a most generalized Cantor set. We study trans-formed lower(upper) local dimensions of an element of the subset which are local dimensions of all the self-similar measures on the most generalized Cantor set. They give better information of Hausdorff(packing) dimension of the afore-mentioned subset than those only from local dimension of a given self-similar measure.

• Korean Journal of Mathematics
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• v.6 no.2
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• pp.259-279
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• 1998

For the forward-backward semimartingale, we can define the backward semimartingale flow which is generated by the backward canonical stochastic differential equation. Therefore, we define the backward self-similar stochastic processes, and we study the backward self-similar stochastic flows through the canonical stochastic differential equations.

• Proceedings of the Korea Society for Simulation Conference
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• 2002.05a
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• pp.239-242
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• 2002

멀티미디어 환경에서 많은 패킷 스위치 네트워크로부터 발생되는 트래픽은 burstiness성질이 상당히 넓은 범위의 time scale상에 존재하고, 트래픽 특성이 self-similar현상을 보이고 있다는 것이 알려지고 있다. 본 논문에서는 Shared-Buffer를 이용한 ATM 스위치 buffer관리방법을 적용하여 입력포트에 self-similar 트래픽이 들어올 때 출력포트의 long-range dependency의 변화를 분석하며 아울러 큐잉 지연, 셀 손실률 그리고 이용도(utilization)등이 self-similar 트래픽에 미치는 영향을 분석할 것이다.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 1999.05a
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• pp.146-151
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• 1999

The classical queuing analysis has been tremendously useful in doing capacity planning and performance prediction. However, in many real-world cases. it has found that the predicted results form a queuing analysis differ substantially from the actual observed performance. Specially, in recent years, a number of studies have demonstrated that for some environments, the traffic pattern is self-similar rather than Poisson. In this paper, we study these self-similar traffic characteristics and the definition of self-similar stochastic processes. Then, we consider the examples of self-similar data traffic, which is reported from recent measurement studies. Finally, we wish you that it makes out about the characteristics of actual data traffic more easily.

• Proceedings of the Korean Information Science Society Conference
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• 2003.04d
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• pp.235-237
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• 2003

멀티미디어 데이터 전송이 가능한 초고속 통신망의 발달로 음성을 위주로 서비스하던 과거와는 다른 self-similar 특성을 갖는 데이터 트래픽이 발생된다는 것이 알려지고 있다. 이러한 트래픽은 전통적인 네트워크 해석 방법인 포와송 트래픽 모델과는 상당히 차이가 난다는 것이 여러 트래픽의 측정 결과 나타나고 있다. 본 논문에서는 공유 메모리를 갖는 CS(Complete Sharing), DT(Dynamic Threshold), PO(Push-Out) 그리고, SMXQ(Sharing with Maximum Queue)와 같은 다양한 ATM(Asynchronous Transfer Mode) 스위치의 버퍼 관리 기법을 이용하여 입력포트에 self-similar 성질을 갖는 트래픽이 들어올 때 출력포트에서의 self-similarity와 셀 손실률 그리고, 이용률 등을 분석한다.