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 literature 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.
| Original language | English |
|---|---|
| Pages (from-to) | 203-236 |
| Number of pages | 34 |
| Journal | Communications in Statistics. Stochastic Models |
| Volume | 2 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 1986 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Applied Mathematics
- Statistics and Probability
- Modelling and Simulation
Cite this
A general software availability/reliability model : Numerical exploration via the matrix laguerre transform. / Masuda, Yasushi; Sumita, Ushio.
In: Communications in Statistics. Stochastic Models, Vol. 2, No. 2, 1986, p. 203-236.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A general software availability/reliability model
T2 - Numerical exploration via the matrix laguerre transform
AU - Masuda, Yasushi
AU - Sumita, Ushio
PY - 1986
Y1 - 1986
N2 - 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 literature 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.
AB - 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 literature 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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UR - http://www.scopus.com/inward/citedby.url?scp=84954754818&partnerID=8YFLogxK
U2 - 10.1080/15326348608807033
DO - 10.1080/15326348608807033
M3 - Article
VL - 2
SP - 203
EP - 236
JO - Stochastic Models
JF - Stochastic Models
SN - 1532-6349
IS - 2
ER -