An introduction to communication network analysis by George Kesidis

By George Kesidis

This publication is a quantitative textual content, which specializes in the true concerns in the back of critical modeling and research of communications networks. the writer covers all of the priceless arithmetic and idea to ensure that scholars to appreciate the instruments that optimize computing device networks at the present time.

  • Covers either classical (e.g. queueing thought) and glossy (e.g. pricing) elements 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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37 packets per time slot. - x, (d) Show that the maximum throughput of unslotted ALOHA is 1/ ( 2 e ) . , a:,, = a:,,. 24 Consider a link carrying packets to a Web server. Suppose that, under normal operating conditions, the link will subject the Web server to a data rate of 4 Mbps. However, when the Web server is under a DDoS attack, the link will carry an average of 6 Mbps to the server. An IDS samples the link's data rate and determines whether the server is under attack. 5 Mbps under attack conditions.

Among all (measurable) functions 11. So, E ( X / Y ) is the best approximation of X given Y. , E ( E ( X / Y ) ) = EX. It is left as a simple exercise to check this property for the cases of jointly discrete or jointly continuous random variables X and Y considered above. 9 INDEPENDENT RANDOM VARIABLES A collection of continuously distributed random variables X1. X 2 , ... , for all real X I . , x,. 2. When X and Y are both discretely distributed, we can similarly define their joint PMF p x , and ~ there is a similar condition for independence (the joint PMF is the product of the marginal PMFs).

IS DECIDING BETWEEN TWO ALTERNATIVE CLAIMS Suppose that a series of measurements X i are drawn from the Internet. A problem is that the Internet may be in different "states" of operation leading to samples X i that are independent but not identically distributed. As a great simplification, suppose that the network can be in only one of two states indexed by j E (1: 2). Also suppose that a batch of ir samples X,, 1 5 i 5 n , is taken while the network is in a single state but that state is not known.

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