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**Numerical investigation of a multiserver retrial model.**
*(English)*
Zbl 0711.60094

To obtain numerical results for multi-channel retrial queues, the initial queueing system is replaced by a similar system where the number of sources of repeated calls is bounded by some sufficiently large constant. The truncated system is convenient since it has a finite set of equations for the stationary probabilities. However, in the case of heavy traffic or low intensity of repetition this set of equations can be of extremely high dimensionality.

To overcome this difficulty, the authors introduce a new approximating queueing system where the intensity of the total flow of repeated calls is limited. This queueing system has matrix-geometric stationary distribution which can be efficiently computed even in the case of heavy traffic or long intervals between retrials. The new method provides better accuracy than the above mentioned classical method.

To overcome this difficulty, the authors introduce a new approximating queueing system where the intensity of the total flow of repeated calls is limited. This queueing system has matrix-geometric stationary distribution which can be efficiently computed even in the case of heavy traffic or long intervals between retrials. The new method provides better accuracy than the above mentioned classical method.

Reviewer: G.Falin

### MSC:

60K25 | Queueing theory (aspects of probability theory) |

90B22 | Queues and service in operations research |

65F30 | Other matrix algorithms (MSC2010) |

### Keywords:

multi-channel retrial queues; heavy traffic; low intensity of repetition; matrix-geometric stationary distribution
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\textit{M. F. Neuts} and \textit{B. M. Rao}, Queueing Syst. 7, No. 2, 169--189 (1990; Zbl 0711.60094)

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