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S. Bates and S. McLaughlin. The appliance of a structured Markovian traffic source model to ATM networks. For submission to the second communication network symposium, April 1995.

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The Simulation and Control of ATM Networks - Bates (1995)   Self-citation (Bates Mclaughlin)   (Correct)

....it was necessary to investigate how using different points on the surface affected the ATM traffic and it was found that the variance of the traffic varied greatly across the surface. A more comprehensive explanation of the model and of the simulation results is presented in Bates and McLaughlin[32]. 3.1.2 Large Deviation Theory I have already explained the main elements of LDT and IS and to enter into a more detailed discussion would involve a detailed quantitative analysis. Instead I will simply say that I have studied Bucklew s book[26] in some depth and am continuing my investigation ....

....3.1.3 ATM Reading Group Since mid November the Edinburgh ATM reading group have been meeting at regular intervals to discuss broadband networking. During this time I have presented two talks, the first was an introduction to ATM and the second was based on the work presented in my paper[32]. Through the group I have come across work on Transform Expand Sample (TES) queuing theory, LDT and IS. The group has also had discussions with Bill Bryers at EUCS concerning SuperJANET and the validity of data on today s networks. 3.1.4 Computer Simulation Tools I have been writing code in ....

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S. Bates and S. McLaughlin. The appliance of a structured Markovian traffic source model to ATM networks. For submission to the second communication network symposium, April 1995.


The Investigation of a Structured Markovian Traffic Source Model - Stephen Bates   Self-citation (Bates Mclaughlin)   (Correct)

.... the conditional probabilities i.e. ae ea ae et = 1: 18) Therefore the first moment of the cell inter arrival time distribution can be written as M (1) T (0) ae ea (ff) 1 Gamma ae ea ) fi) 19) 37 5 The average cell transmission rate, A ctr , was derived in Bates and McLaughlin [5] using a different approach and was found to be A ctr = 1 ae ea (ff) 1 Gamma ae ea ) fi) 20) 1 M (1) T (0) 21) 3.2 Second moment The next step in the examination of the model is to derive an equation for the second moment of the cell inter arrival rate and then find an ....

....method does not ignore the rare events due to n with small probabilities and this may prove useful for effective bandwidth modelling [8] 4 Simulation Results Consider a variable bit rate B ISDN service with an average cell transmission rate, A ctr , and a peak cell transmission rate P ctr . From [5] it is known that a surface solution for this service is formed in the parameters ae ea , A) and (T ) In the first simulation P (n a ) and P (n t ) were assumed to be equal and uniform with a mean of 10 (figure 4) The comparison between the Monte Carlo variance and the estimator variance is ....

S. Bates and S. McLaughlin. The appliance of a structured Markovian traffic source model to ATM networks. For submission to the second communication network symposium, Manchester, April 1995.

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