One of the most widely used technique to obtain transient measures is the uni-formization method. However, although uniformization have many advantages, the computational cost required to calculate transient probabilities are very large for stii models. We study eecient solutions that can be applied to an approximate method developed for calculating transient state probabilities of Markov model...

One of the most widely used technique to obtain transient measures is the uni-formization method. However, although uniformization have many advantages, the computational cost required to calculate transient probabilities are very large for stii models. We study eecient solutions that can be applied to an approximate method developed for calculating transient state probabilities of Markov model...

Abstract We study three non-equivalent queueing models in continuous time that each generalise the classical M/M/1 queue a different way. Inter-event times all are Mittag-Leffler distributed, which is heavy tail distribution with no moments. For of we answer question being at zero infinitely often (the ‘recurrence’ regime) or not transient regime). Aside from this question, analytical propertie...