Introduction to Queueing Theory |
Contents
Scope and Nature of Queueing Theory | 1 |
Review of Topics from Probability Theory | 9 |
Multinomial Distribution | 30 |
Copyright | |
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Common terms and phrases
a₁ arbitrary customer arrival epoch arriving customer arriving customer's distribution assumed Bernoulli trials birth-and-death process blocked customers busy period calculate Chapter conditional probability consider customers arrive customers waiting customers who find defined distribution function Erlang delay Erlang loss example exponential service exponentially distributed formula geometric distribution given by equation 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 mutually independent n₁ number of customers observer's distribution obtained offered load order of arrival order of service overflow group Poisson distribution Poisson input Poisson process probability generating function quasirandom input queue discipline queueing models queueing theory random variable requests for service result right-hand side servers busy service time distribution solution statistical equilibrium stochastic processes systems with Poisson T₁ Takács test customer traffic values waiting customers waiting for service waiting time distribution