### Abstract

We obtain an asymptotic behavior of the loss probability for the GI/M/1/K queue as K → ∞ for cases of ρ < 1, ρ > 1 and ρ = 1.

Original language | English |
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Pages (from-to) | 437-442 |

Number of pages | 6 |

Journal | Queueing Systems |

Volume | 36 |

Issue number | 4 |

Publication status | Published - 2000 Dec 1 |

### Keywords

- Asymptotic behavior of loss probability
- Duality in queues
- GI/M/1/K queue
- M/G/1/K queue
- Stationary measure

### ASJC Scopus subject areas

- Computational Theory and Mathematics
- Computer Science Applications
- Management Science and Operations Research

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## Cite this

Choi, B. D., Kim, B., & Wee, I-S. (2000). Asymptotic behavior of loss probability in GI/M/1/K queue as K tends to infinity *.

*Queueing Systems*,*36*(4), 437-442.