### Abstract

We consider a finite population M/G/2 queue in which the population size is M. We consider both the case of identical servers and also the situation when the two servers have different service time distributions. We assume that M VM GT TH 1 and that the mean service times are small, specifically, O(1/M). Then, we construct asymptotic expansions for the stationary distribution of the number of customers in the queueing system.

Original language | English (US) |
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Pages (from-to) | 367-397 |

Number of pages | 31 |

Journal | SIAM Journal on Applied Mathematics |

Volume | 47 |

Issue number | 2 |

DOIs | |

State | Published - Jan 1 1987 |

### ASJC Scopus subject areas

- Applied Mathematics

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## Cite this

Knessl, C., Matkowsky, B. J., Schuss, Z., & Tier, C. (1987). TWO REPAIRMEN PROBLEM: A FINITE SOURCE M/G/2 QUEUE.

*SIAM Journal on Applied Mathematics*,*47*(2), 367-397. https://doi.org/10.1137/0147024