By George Kesidis
This e-book is a quantitative textual content, which specializes in the true concerns in the back of severe modeling and research of communications networks. the writer covers the entire helpful arithmetic and conception to ensure that scholars to appreciate the instruments that optimize machine networks this present day.
- Covers either classical (e.g. queueing thought) and glossy (e.g. pricing) facets of networking
- Integrates fabric on verbal exchange networks with fabric on modeling/analyzing and designing such networks
- Includes an answer Manual
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Additional info for An introduction to communication network analysis
Our objective in the remainder of this section is to compute the transition probability matrix P ( t ) in terms of the known transition rate matrix Q. , the square matrix with 1's in every diagonal entry and 0's in every off-diagonal entry. Now consider the quantity for n # m , a small amount of time 0 < E << 1, and an arbitrarily chosen time s E EX+. , X ( t ) = n for all t E [s, s+Vn) and X ( s + Vn) # n. The total holding time in state n is exponentially distributed with parameter -(I,,, and therefore, by the memoryless property, Vn is also exponentially distributed with parameter -(I,,,.
2 ) . )was conducted under arguably equal environmental conditions for both mechanisms. Let be the difference in the performance of the two mechanisms for the common environmental conditions of trial i. That is, for each trial, an "apple-to-apple" comparison is made using coupled or paired observations. 25) and determine whether the origin is to the left of it (respectively. contained by it). 2 of . IS DECIDING BETWEEN TWO ALTERNATIVE CLAIMS Suppose that a series of measurements X i are drawn from the Internet.
The confidence interval is taken using the sample mean and standard deviation of each batch; note that the "straight" sample mean X, would equal that obtained from the batches. Finally, in order to arrive at a criterion to terminate a simulation, define the relative error Here we have assumed p f 0 and a2 < m. , the variance of the sample standard deviation is 10% of the sample mean. 30) if the number of samples n is small. , is accurate to within 20% of the true mean with 95% probability. 281, < dECIDING BETWEEN TWO ALTERNATIVE CLAIMS In summary, a simulation produces IID samples X , from which a sequence of sample means X,, and sample variances 7,, are computed.