Applicability of the extensions of the Erlang multirate loss model on ABR services in ATM networks

Abstract In this paper, we evaluate three extensions of the Erlang Multirate Loss Model by comparing them, based on the resultant call blocking probabilities for ABR services in ATM networks. In the first extension, the retry models, blocked calls can retry with reduced resource requirements and increased arbitrary mean residency requirements. In the second one, the threshold models, request sizes and residency times are state dependent. We propose a third extension, the connection-dependent threshold model, which resembles the threshold models, but the state dependency is individualized among call connections. Our investigation shows that the retry models can hardly approach the behavior of ABR services, while the proposed model performs much better than the other two extensions. 1