2022/01/26 by Bini, Dario A., Meini, Beatrice, Ramaswami, Vaidyanathan
#M/G/1-type Markov chains #Renewal processes #tail decay
paper · doi:10.4230/dagsemproc.07461.13
The tail decay of M/G/1-type Markov renewal processes is studied. The Markov renewal process is transformed into a Markov chain so that the problem of tail decay is reformulated in terms of the decay of the coefficients of a suitable power series. The latter problem is reduced to analyze the analyticity domain of the power series.