## Generating function analysis of some joint distributions for Poisson loss systems

Autor(en): | Stadje, W Parthasarathy, PR |

Stichwörter: | Computer Science; Computer Science, Interdisciplinary Applications; generating function; joint distribution; Laplace transform; method of auxiliary functions; Operations Research & Management Science; Poisson loss system; stationary |

Erscheinungsdatum: | 2000 |

Herausgeber: | BALTZER SCI PUBL BV |

Journal: | QUEUEING SYSTEMS |

Volumen: | 34 |

Ausgabe: | 1-4 |

Startseite: | 183 |

Seitenende: | 197 |

Zusammenfassung: | We present a new approach to derive joint distributions for stationary Poisson loss systems. In particular, for M/M/m/0 and M/M/1/n we find the Laplace transforms (with respect to time t) of the probability that at time t there are i customers in the system and during [0,t], j customers are refused admission; for M/M/m/0 we further determine the LT of the probability that the system was full for less than s time units during [0,t] and serves i customers at time t. Explicit formulas for the corresponding moments are also given. |

ISSN: | 02570130 |

DOI: | 10.1023/A:1019157019655 |

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