Computational algorithms for blocking probabilities in circuit-switched networks.

*(English)*Zbl 0760.90042Summary: We develop two new general purpose recursive algorithms for the exact computation of blocking probabilities in multi-rate product-form circuit- switched networks with fixed routing. The first algorithm is a normalization constant approach based on the partition function of the state distribution. The second is a mean-value type of algorithm with a recursion cast in terms of blocking probabilities and conditional probabilities. The mean value recursion is derived from the normalization constant recursion. Both recursions are general purpose ones that do not depend on any specific network topology. The relative advantage of the mean-value algorithm is numerical stability, but this is obtained at the expense of an increase in computational costs.

##### MSC:

90B18 | Communication networks in operations research |

90-08 | Computational methods for problems pertaining to operations research and mathematical programming |

##### Keywords:

computation of blocking probabilities; multi-rate product-form circuit- switched networks; fixed routing##### Software:

RECAL
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\textit{E. Pinsky} and \textit{A. E. Conway}, Ann. Oper. Res. 35, 31--41 (1992; Zbl 0760.90042)

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