System Modeling and Analysis: Foundations of System Performance Evaluation
In one resource, Kobayashi and Mark present the most up-to-date analytical models, simulation techniques, and computational algorithms useful for performance evaluation of complex systems – including computer systems, communication networks, transportation systems, and manufacturing systems. Provides more in-depth coverage of topics such as computational algorithms and approximations; is broader in scope than similar books on the subject. Appeals to readers with a background or interest in a wide range of areas, including systems analysis or telecommunication networks. Offers comprehensive coverage of modeling and analysis techniques from basic to intermediate and advanced levels. Shows how modeling methodologies and analysis techniques can be applied to real-world problems. Features many schematic diagrams, graphical curves, and numerical examples to make abstract or difficult subjects more accessible. A comprehensive reference for practicing engineers, computer scientists, and systems analysts.
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algorithm analysis approximation arrival process arrival rate assume balance equation bandwidth BD process blocking probability Brownian motion buﬀer busy period called Chapter coeﬃcient Consider CTMC customer arrival deﬁned Deﬁnition denote departure Derive diﬀerent discrete-time discussed in Section distributed with mean distribution function DTMC eﬀective eigenvalues example Exercise exponential servers exponentially distributed FCFS Figure ﬁnd ﬁnite ﬁrst ﬂow ﬂuid formula given inﬁnitesimal interarrival interval Jackson network loss network loss system M/M/1 queue Markov chain Markov process matrix mean waiting method multiple normalization constant number of customers obtain packet parameter Poisson arrivals Poisson distribution Poisson process probability vector process N(t product-form quasi-reversible queueing models queueing network queueing system random variable recursive renewal process sample satisﬁes sequence service rate service time distribution Show speciﬁc stationary distribution statistical multiplexer suﬃciently symmetric queue Theorem traﬃc transition variance vector