### Abstract

We consider the GI^{X}/M/c/K queues with partial rejection or total rejection, and find an asymptotic behavior of loss probability of the GI^{X}/M/c/K queue as K tends to infinity. The asymptotic loss probability is expressed only in terms of the roots of the characteristic equation and the boundary probabilities of the corresponding GI^{X}/M/c queue. Numerical examples show that the asymptotic loss probability is a quite accurate approximation for the loss probability of the GI^{X}/M/c/K queue even when the system capacity K is moderate.

Original language | English |
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Pages (from-to) | 331-356 |

Number of pages | 26 |

Journal | Performance Evaluation |

Volume | 54 |

Issue number | 4 |

DOIs | |

Publication status | Published - 2003 Dec |

### Keywords

- Asymptotic loss probability
- GI/M/c/K queue
- Partial rejection
- Total rejection

### ASJC Scopus subject areas

- Software
- Modelling and Simulation
- Hardware and Architecture
- Computer Networks and Communications

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## Cite this

Kim, B., & Choi, B. D. (2003). Asymptotic analysis and simple approximation of the loss probability of the GI

^{X}/M/c/K queue.*Performance Evaluation*,*54*(4), 331-356. https://doi.org/10.1016/S0166-5316(03)00095-6