## Applications of queueing theory |

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### Contents

Deterministic fluid approximation single server | 25 |

Simple queueing systems | 53 |

Stochastic models | 105 |

Copyright | |

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arrival curve arrival process arrival rate arrivals and departures behavior binomial distribution boundary conditions buses cars comparable constant cost cumulative arrivals cumulative number customer types customers arrive customers of type departure curve depend describe diffusion equation distribution function Dq(t enter service equilibrium distribution evaluate evolution example expected number exponentially distributed FIFO finite fluctuations fluid approximation fraction freeway geometric distribution graph headways integral interval m-channel Markov process maximum nearly normal distribution number of arrivals number of customers observations obtained parameters passengers Poisson distribution Poisson process probability density probability distribution properties Qs(t queue discipline queue distribution queue length queue vanishes queueing models queueing systems queueing theory ramp random variables represents rush hour satisfy Section served service rate single-channel server solution stationary stationary process statistically independent stochastic storage sufficiently large term time-dependent total delay traffic signal typical variance vehicles vertical zero