Performance Analysis of Queuing and Computer Networks
Performance Analysis of Queuing and Computer Networks develops simple models and analytical methods from first principles to evaluate performance metrics of various configurations of computer systems and networks. It presents many concepts and results of probability theory and stochastic processes.
After an introduction to queues in compu
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Characterization of Data Traffic
The MM1 Queue
State Dependent Markovian Queues
The MG1 Queue
Discrete Time Queues
Continuous Time Queuing Networks
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algorithm arrival rate average number balance equations bits bursty computer networks condition Consider continuous random variable corresponding data frame data packet denoted departure developed discrete parameter Markov discrete random variable environment chain equilibrium probabilities equilibrium state probabilities evaluate Example expected number expected response exponential random variable exponentially distributed FIFO fluid fX(x iid exponential independent infinite input instant interarrival interval jobs per second Laplace transform Little’s result matrix memoryless millisecond nonnegative nonzero number of arrivals number of customers number of packets observation outcome output packet arrival parameter Markov chain Pareto random variable performance figures Poisson arrivals processor queue queuing network queuing system random number sample function sample space sequence server service rate slot centers slot edges station stochastic process successive tends to infinity throughput transition diagram transition probabilities transmission transmitter variance waiting line zero