180 likes | 357 Views
Outline. IntroductionPoisson modelSelf-Similar modelPoisson model vs. Self-Similar modelExperimental ResultCo-ExistenceRemarksReferences. Introduction. What is a model?Why do we need modeling?What are the kinds of models available?What are the models that I have discussed?. Poisson Model.
E N D
1. Internet Traffic ModelingPoisson Model vs. Self-Similar ModelBySrividhya ChandrasekaranDept of CSUniversity of Houston
2. Outline Introduction
Poisson model
Self-Similar model
Poisson model vs. Self-Similar model
Experimental Result
Co-Existence
Remarks
References
3. Introduction
What is a model?
Why do we need modeling?
What are the kinds of models available?
What are the models that I have discussed? A model is anything that s used to describe a phenomenon or characteristics of an object.
It is required in order to understand the behaviour of the phenomenon or object
Models can be mathematical or analytical.
Network traffic is represented by statistical models, namely Poisson model and Self-similar or fractal model
A model is anything that s used to describe a phenomenon or characteristics of an object.
It is required in order to understand the behaviour of the phenomenon or object
Models can be mathematical or analytical.
Network traffic is represented by statistical models, namely Poisson model and Self-similar or fractal model
4. Poisson Model Poisson Process : Describes the number of times that some known event has occurred as a function of time, where events can occur at random times.
Network traffic : Considered as a random arrival process under Poisson modeling.
A Poisson process is a process that describes the number of times that some known event has occurred as a function of time, where events can occur at random times.
The Poisson distribution gives the probability of observing n counts in a fixed time interval, when the expectation of the number of counts to be observed is L (lamda)
A Poisson process is a process that describes the number of times that some known event has occurred as a function of time, where events can occur at random times.
The Poisson distribution gives the probability of observing n counts in a fixed time interval, when the expectation of the number of counts to be observed is L (lamda)
5. Packet arrival is considered as 1 or ON state and the inter arrival time is 0 or OFF state
7. Self-Similar Model Self-Similarity: Something that feels the same irrespective of the scale.
In case of stochastic objects like time-series, self-similarity is used in the distributional sense
Long Range Dependence (LRD): The traffic is similar in longer spans of time.