## Approximate stochastic behavior of n-server service systems with large n, Issues 87-88 |

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### Contents

General Formulation | 1 |

Approximation Methods | 24 |

Approximations for Short Service Times | 57 |

Copyright | |

2 other sections not shown

### Common terms and phrases

Ac(t accurate Ag(t analysis approximately normal arrival process arrival rate available servers batches become behavior Chapter compared with E{s conditional distribution curve A^(t customer arrivals customer queue decreases described distribution of N(t duration E{SQ enter service equation equilibrium distribution estimate evaluated expected number exponential distribution fluctuations formulas geometric distribution graph graphical idle servers increase large compared least M/M/n system Markov process mean service methods N(Tq nearly negative normal approximation normal distribution number of arrivals number of customers number of servers order E{s P(Tq parameter Poisson distribution Poisson process probability density probability distribution problem properties qualitative queue of customers queueing starts queueing theory random service range rush hour scale second term second transition Section Seiten service completions service distribution slowly varying small compared smooth standard deviation statistically independent stochastic correction stochastic effects stochastic queueing theory tion traffic intensity types Var{N(t variance Vlll