Introduction to Queueing Theory |
Contents
Scope and Nature of Queueing Theory | 1 |
Review of Topics from Probability Theory | 38 |
Multidimensional BirthandDeath Queueing Models | 104 |
Copyright | |
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Common terms and phrases
a₁ arbitrary customer arrival epoch arriving customer arriving customer's distribution birth-and-death process blocked customers busy period calculate Chapter conditional probability consider customers arrive customers waiting customers who find defined derivation distribution function equilibrium probability Erlang delay Erlang loss example exponential service exponentially distributed geometric distribution given by equation idle input process interarrival iteration j₁ j₂ Laplace-Stieltjes transform M/G/1 queue Maclaurin series Markov chain Markov property mathematical mean number mean service mean waiting n₁ number of customers observer's distribution obtained offered load order of arrival order of service overflow group P(j₁ Poisson distribution Poisson input Poisson process primary group probability generating function probability P{W quasirandom input queueing models queueing theory random variable recurrence result right-hand side servers busy service completion service time distribution solution solve statistical equilibrium systems with Poisson T₁ Takács test customer trunks values waiting customers waiting for service waiting time distribution