Discrete Availability Models to Rejuvenate a Telecommunication Billing Application

Tadashi DOHI  Kazuki IWAMOTO  Hiroyuki OKAMURA  Naoto KAIO  

IEICE TRANSACTIONS on Communications   Vol.E86-B   No.10   pp.2931-2939
Publication Date: 2003/10/01
Online ISSN: 
Print ISSN: 0916-8516
Type of Manuscript: Special Section PAPER (IEICE/IEEE Joint Special Issue on Assurance Systems and Networks)
Category: Network Systems and Applications
software rejuvenation,  telecommunication billing application,  fault management,  availability,  discrete-time models,  non-parametric estimation,  high assurance systems design,  

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Software rejuvenation is a proactive fault management technique that has been extensively studied in the recent literature. In this paper, we focus on an example for a telecommunication billing application considered in Huang et al. (1995) and develop the discrete-time stochastic models to estimate the optimal software rejuvenation schedule. More precisely, two software availability models with rejuvenation are formulated via the discrete semi-Markov processes, and the optimal software rejuvenation schedules which maximize the steady-state availabilities are derived analytically. Further, we develop statistically non-parametric algorithms to estimate the optimal software rejuvenation schedules, provided that the complete sample data of failure times are given. Then, a new statistical device, called the discrete total time on test statistics, is introduced. Finally, we examine asymptotic properties for the statistical estimation algorithms proposed in this paper through a simulation experiment.