# Analysis of Computer Networks by Fayez Gebali (auth.)

By Fayez Gebali (auth.)

This textbook provides the mathematical conception and strategies worthy for reading and modeling high-performance international networks, equivalent to the web. the 3 major construction blocks of high-performance networks are hyperlinks, switching apparatus connecting the hyperlinks jointly and software program hired on the finish nodes and intermediate switches. This e-book presents the fundamental recommendations for modeling and studying those final elements. themes coated contain, yet aren't constrained to: Markov chains and queuing research, site visitors modeling, interconnection networks and turn architectures and buffering strategies.

Similar system theory books

Interval methods for circuit analysis

The aim of the current publication is to acquaint the reader with a few functions of period research in electrical circuit thought. extra particularly, period versions and resulting period equipment for circuit research are awarded intimately for the next issues: linear electrical circuit tolerance research (steady-state in addition to temporary analysis); linear circuit balance and nonlinear circuit research (including either resistive and dynamic circuits).

Statistical Mechanics of Complex Networks (Lecture Notes in Physics)

Networks supplies an invaluable version and picture photograph necessary for the outline of a wide number of web-like constructions within the actual and man-made realms, e. g. protein networks, meals webs and the net. The contributions collected within the current quantity supply either an advent to, and an summary of, the multifaceted phenomenology of advanced networks.

Asymptotic Theory of Nonlinear Regression

Allow us to imagine that an remark Xi is a random variable (r. v. ) with values in 1 1 (1R1 , eight ) and distribution Pi (1R1 is the true line, and eight is the cr-algebra of its Borel subsets). allow us to additionally think that the unknown distribution Pi belongs to a 1 definite parametric kin {Pi() , () E e}. We name the triple £i = {1R1 , eight , Pi(), () E e} a statistical test generated through the commentary Xi.

From Stochastic Calculus to Mathematical Finance: The Shiryaev Festschrift

Devoted to the eminent Russian mathematician Albert Shiryaev at the social gathering of his seventieth birthday, the Festschrift is a suite of papers, together with numerous surveys, written by means of his former scholars, co-authors and associates. those replicate the big variety of clinical pursuits of the trainer and his Moscow tuition.

Additional resources for Analysis of Computer Networks

Example text

So let us derive the expression for Poisson distribution based on this method of thinking. Consider a chance experiment where an event A occurs at a rate events/second. In a small time interval (t ) the probability that the event A occurs is p D t . We chose t so small so that event A occurs at most only once. For example, might indicate the average number of packets arriving at a link per unit time. In that case the variable t will indicate time. might also refer to the average number of bits in error for every 1,000 bits, say.

The CDF for a discrete random variable will be a staircase as illustrated in the following example. 13. Consider again the case of the spinning pointer experiment but define the discrete random variable Q which identifies the quadrant in which the pointer rests in. The quadrants are assigned the numerical values 1, 2, 3, and 4. Thus the random variable Q will have the values q D 1, 2, 3, or 4. q D 1/ D The CDF for this experiment is shown in Fig. 5. 13 Probability Density Function 13 Fig. x/ will never be negative.

In a small time interval (t ) the probability that the event A occurs is p D t . We chose t so small so that event A occurs at most only once. For example, might indicate the average number of packets arriving at a link per unit time. In that case the variable t will indicate time. might also refer to the average number of bits in error for every 1,000 bits, say. In that case, the variable t would indicate the number of bits under consideration. In these situations we express the parameter a in the form a D t where expresses the rate of some event and t expresses the size or the period under consideration.