### Abstract

In this paper, two queueing models with periodic (cyclic) service interruptions are studied, one in discrete time and one in continuous time. For both models, the matrix-geometric approach is used to obtain the equilibrium distribution of the number of customers in the system. From this equilibrium distribution, one can compute the stationary sojourn time distribution and study the effects of interruptions on the probability a customer receives service before some specific due date. Examples show the influence on this probability of balancing interruptions over a cycle.
Keywords: Queueing systems, periodic service interruptions, matrix-geometric approach, sojourn times, tail probabilities, due dates.

Original language | English |
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Place of Publication | Eindhoven |

Publisher | Technische Universiteit Eindhoven |

Number of pages | 17 |

Publication status | Published - 1993 |

### Publication series

Name | Memorandum COSOR |
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Volume | 9332 |

ISSN (Print) | 0926-4493 |

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## Cite this

Eenige, van, M. J. A., Resing, J. A. C., & Wal, van der, J. (1993).

*A matrix-geometric analysis of queueing systems with periodic service interruptions*. (Memorandum COSOR; Vol. 9332). Technische Universiteit Eindhoven.