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Ferreira, M. A. M. (2015). A differential equation occurring in the M/M/oo queue parameters study using a Markov renewal process. Acta Scientiae et Intellectus. 1 (2), 10-15
M. A. Ferreira, "A differential equation occurring in the M/M/oo queue parameters study using a Markov renewal process", in Acta Scientiae et Intellectus, vol. 1, no. 2, pp. 10-15, 2015
@article{ferreira2015_1715116628030, author = "Ferreira, M. A. M.", title = "A differential equation occurring in the M/M/oo queue parameters study using a Markov renewal process", journal = "Acta Scientiae et Intellectus", year = "2015", volume = "1", number = "2", pages = "10-15", url = "http://www.actaint.com/" }
TY - JOUR TI - A differential equation occurring in the M/M/oo queue parameters study using a Markov renewal process T2 - Acta Scientiae et Intellectus VL - 1 IS - 2 AU - Ferreira, M. A. M. PY - 2015 SP - 10-15 SN - 2410-9738 UR - http://www.actaint.com/ AB - This work main objective is to present a process to compute the Markov renewal matrix R(t) for Markov renewal processes with infinite coutable states space, which semi-Markov matrixes Q(t) are immigration and death type and assume a tridiagonal form. These processes occur often in practical applications. And the difficulty in obtaining friendly results for R(t) is a great obstacle to its application in practical cases modelling. It is exemplified the application to the M/M/oo queue particular case. The work presented in (5) is resumed but now the emphasis is put in the determination of pfaffian solutionthat must be considered in this example. ER -