Introduction to Queueing Theory |
Contents
Introduction to the Second Edition | 1 |
The Study of the Incoming Customer Stream | 69 |
Some Classes of Stochastic Processes | 136 |
Copyright | |
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arbitrary Assume assumption busy interval busy period characteristics completed components condition consider convergence corresponding customers arrive defined Denote determined distribution function duration embedded Markov chain equal ergodic distribution event exists exponentially distributed finite follows formula given Hence incoming stream independent random variables inequality instant integral intensity Khinchin Kovalenko Laplace-Stieltjes transform large number limit Markov process mathematical expectation mean method nonnegative notation number of customers obtain occur operation orderly P₁ P₁(t parameter Po(t Poisson process probability problems process v(t proof Px(t queueing system queueing theory random process reliability theory renewal process renewal theory Section semi-Markov process sequence server service system simple stream simulation solution stationary distribution stationary stream stochastic process stream of customers stream without aftereffects system of equations t₁ t₂ theorem transition v₁ valid vector waiting Whence X₁ λ₁ λι