A general software availability/reliability model: numerical exploration via the matrix laguerre transform

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Abstract
In this paper, a new software availability/ reliability model is developed where lifetimes and repair times have general system-state-dependent distributions. Multiple errors may be introduced or removed through repairs. The model is formulated as a multivariate Markov process and contains many other models which have appeared in the literatu/e as special cases. The exponentiality assumption prevalent in the literature is totally eliminated. Expressions of various performance measures of practical interest combining availability and reliability of the software system at time t are derived. Using the matrix Laguerre transform of Sumita [13], corresponding computational procedures are also developed. A numerical example is given, demonstrating speed, accuracy and stability of these procedures.

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