## Abstract

In this note, we consider the steady-state probability of delay (PW) in the C_{2}/G/1 queue and the steady-state probability of loss (p_{loss}) in the C_{2}/G/1 loss system, in both of which the interarrival time has a two-phase Coxian distribution. We show that, for c^{2}_{x} < 1, where c_{X} is the coefficient of variation of the interarrival time, both p_{loss} and PW are increasing in β(s), the Laplace-Stieltjes transform of the general service-time distribution. This generalises earlier results for the GE_{2}/G/1 queue and the GE_{2}/G/1 loss system. The practical significance of this is that, for c^{2}_{X} < 1, p_{loss} in the C_{2}/G/1 loss system and PW in the C_{2}/G/1 queue are both increasing in the variability of the service time.

Original language | English |
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Pages (from-to) | 237-241 |

Number of pages | 5 |

Journal | Queueing Systems |

Volume | 36 |

Issue number | 1-3 |

DOIs | |

State | Published - Nov 2000 |

Externally published | Yes |

## Keywords

- Coxian density
- Loss system
- Queue
- Stochastic order

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