Analysis and application of an MMPP/PH/n/m multi-server model

Modeling a link in a B-ISDN at the connection level by Markovian techniques, we derive an MMPP/PH/n/m multi-server system as simplified, generic model. First, we calculate the steady-state vector of the underlying Markov chain of the model by advanced numerical methods. Then we determine the time and call congestion of the delay-loss system and the actual waiting-time distribution of a customer. Finally, the properties of some MMPP/PH/n/n loss systems are studied.

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