## Elements of queueing theory: with applicationsStructure, Technique, and basic theory. Poisson queues. Non-Poisson queues. Queueing ramifications, applications, and renewal theory. |

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### Contents

A Description of Queues | 3 |

Properties of Queues | 54 |

Poisson Queues | 81 |

Copyright | |

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aircraft applied arrival occurs arrival rate assume average number average waiting batch birth-death birth-death process busy period calls Chap chapter coefficient compute congestion constant delay denote derivative determined Dirac delta function equilibrium Erlang's Erlangian example expected number expected waiting exponential distribution exponential service expression finite given hence independent infinite integral interval jth phase Laplace transform Laplace-Stieltjes transform machines Markoff chain matrix mean moment-generating function multiplied Note number of channels number waiting obtained Operations Research ordered queue Pn(t Poisson arrivals Poisson distribution Poisson input Poisson process priority Prob probability distribution queue length queueing problems queueing theory random variables renewal renewal theory result served server service channel service distribution service rate service-time distribution single-channel queue solution solving Statist steady steady-state probability stochastic process studied theorem tion traffic unit circle values variance waiting line waiting-time distribution zero