Corrigendum: "Transient Analysis of Rewarded Continuous Time Markov Models by Regenerative Randomization with Laplace Transform Inversion"

Two clarifications are needed. The Laplace transform inversion algorithm used in the numerical method described in the paper [1] differs essentially from the one implemented in the DLAINV FORTRAN subroutine described in [27] only in that: (1) the discretizacion error is strictly controlled using the values for a given by the third displayed equation on page 94, left column and the first two displayed equations on page 94, right column; (2) T is taken equal to 8t instead of 16t; (3) the series accelerated by the epsilon algorithm is the one given by the last displayed equation on page 92, right column, with the shift described after that equation; and (4) Brzinski’s recursion described in [29] is used when important cancellations are detected in the standard implementation of the epsilon algorithm. The results for the C.mmp system example were obtained for lP 1⁄4 lM 1⁄4 10 h, lS 1⁄4 10 h and mP 1⁄4 mM 1⁄4 mS 1⁄4 1 h, and RRL was run taking as regenerative state the single state without failed components.