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**Analytic study of multiserver buffers with two-state Markovian arrivals and constant service times of multiple slots.**
*(English)*
Zbl 1136.60053

Summary: In this paper, we study the behavior of a discrete-time multiserver buffer system with infinite buffer size. Packets arrive at the system according to a two-state Markovian arrival process. The service times of the packets are assumed to be constant, equal to multiple slots. The behavior of the system is analyzed by means of an analytical technique based on probability generating functions (PGFs). Explicit expressions are obtained for the PGFs of the system contents and the packet delay. From these, the mean values, the variances and the tail distributions of the system contents and the packet delay are calculated. Numerical examples are given to show the influence of various model parameters on the system behavior.

### MSC:

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

90B22 | Queues and service in operations research |

### Keywords:

Discrete-time queueing model; Correlated arrivals; Multiple servers; Performance analysis; Generating functions
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\textit{P. Gao} et al., Math. Methods Oper. Res. 67, No. 2, 269--284 (2008; Zbl 1136.60053)

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