Transient Cost Analysis of Non-Markovian Software Systems with Rejuvenation
Volume 2, Number 3, July 2006 - Paper 3 - pp. 233 - 243
TADASHI DOHI1, HIROAKI SUZUKI1 and SHUNJI OSAKI21 Department of Information Engineering, Hiroshima University, 1-4-1 Kagamiyama, Higashi -Hiroshima 739-8527, Japan
2 Department of Information and Telecommunication Engineering, Nanzan University, 27 Seirei-cho, Seto 480-0863, Japan
(Received on March 31, 2006)
In this paper, we perform the transient analysis of software cost models with periodic/non-periodic rejuvenation. We derive the Laplace-Stieltjes transforms of the ergodic probabilities for respective semi-Markov and Markov regenerative process models, and evaluate numerically the expected cumulative costs experienced by an arbitrary time and its time average by using the Laplace inversion technique, where an improved version of the classical Dubner and Abate's algorithm is used. Numerical examples suggest that the optimal software rejuvenation policy minimizing the expected cumulative cost shows quite different aspects from the steady-state solution which minimizes the long-run average cost.
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