Numerical transient analysis of Markov models
Computers and Operations Research
Algorithm 619: automatic numerical inversion of the Laplace transform [D5]
ACM Transactions on Mathematical Software (TOMS)
Numerical Inversion of Laplace Transforms Using a Fourier Series Approximation
Journal of the ACM (JACM)
Availability Analysis of Repairable Computer Systems and Stationarity Detection
IEEE Transactions on Computers
Dependability Models of RAID Using Stochastic Activity Networks
EDCC-2 Proceedings of the Second European Dependable Computing Conference on Dependable Computing
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In this paper we develop a variant of a previously proposed method (the regenerative randomization method) for the transient analysis of dependability/performability models. The variant is obtained by developing a closed-form expression for the solution of the truncated transformed model obtained in regenerative randomization and using a Laplace transform inversion algorithm. Using models of moderate size of a 5-level RAID architecture we compare the new variant with the original randomization method, with randomization with steady-state detection for irreducible models, and with the standard randomization method for transient models (models with absorbing states). The new variant seems to be competitive for models of moderate size.