## A First Course in Bulk Queues |

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### Contents

Preliminaries | 1 |

Some Techniques of Queuing Theory | 34 |

BulkArrival Queues | 107 |

Copyright | |

6 other sections not shown

### Common terms and phrases

analytic arrival group batch bulk queues bulk service bulk-arrival busy period bution Chapter coefficient consider constant Continuation of Problem customers arrive defined denoted departure derivation discrete discussed distri epoch Erlang distribution exponentially distributed finite Fx(x geometric distribution GI/Er/l given in equation gives Hint idle period imbedded Markov chain independent input integral interarrival interval Laplace transform Laplace-Stieltjes transform limiting behavior limiting distribution Markov process mean service Miscellaneous Problem Neuts nonpriority customers notation number of customers number of phases obtained P(Vq P+(z parameter Poisson distribution Poisson process Problems and Complements process N(t queuing system queuing theory random customer relation renewal process renewal theory represents the number residue theorem Riemann-Stieltjes integral roots Section service-time distribution single-server solution stochastic processes supplementary variable system M/G/l Takacs technique theorem theory of queues transform transient truncated distribution unit circle values waiting-time distribution waiting-time in queue zero