## Approximate stochastic behavior of n-server service systems with large nGeneral formulation; Approximation methods; Approximations for shorts service times; Equilibrium distributions. |

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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 accuracy accurate analysis approximately normal arrival process arrival rate assumed available servers batches become Chapter compared with E{S conditional distribution constant curve E{A customer arrivals decreases described deterministic approximations distribution of N(t duration E{SQ enter service equation equilibrium distribution estimate evaluated expected number exponential distribution fluctuations formulas geometric distribution given N(t graph graphical idle servers increase independent 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 Poisson distribution Poisson process probability density 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 shown in Fig slowly varying small compared smooth standard deviation statistically independent stochastic correction stochastic effects stochastic queueing tion traffic intensity types typical value of E{N(t Var{N(t variance