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Towards a calculus of systems dependability
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Liu, Zhiming, Ravn, Anders P., Sørensen, Erling V. and Zhou, Chaochen (1992) Towards a calculus of systems dependability. University of Warwick. Department of Computer Science. (Department of Computer Science research report). (Unpublished)
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Abstract
This paper presents a calculus that enables a designer of an embedded, real-time system to reason about and calculate whether a given requirement will hold with a sufficiently high probability for given failure probabilities of components used in the design of the system. The main idea is: - to specify requirements and design in DC (Duration Calculus, an extension of real-time, interval logic); - to define satisfaction probabilities for formulas in this calculus; - to establish a basic probabilistic calculus, PC, with rules that support calculation of the satisfaction probability for a composite formula from probabilities of its constituents; - to develop a collection of theorems expressing specific important PC formulas in terms of the probability matrices used in classical reliability engineering. These theorems are oriented towards systematic numerical calculations. This ensures that reasoning about probabilities is consistent with requirements and design decisions. We thus avoid introducing separate models for requirements and dependability analysis. The system model is a finite automaton with fixed transition probabilities. This defines discrete Markov processes as basis for the calculus.
| Item Type: | Report | ||||
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| Subjects: | Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software | ||||
| Divisions: | Faculty of Science > Computer Science | ||||
| Library of Congress Subject Headings (LCSH): | Interactive computer systems, Computer system failures -- Prevention | ||||
| Series Name: | Department of Computer Science research report | ||||
| Publisher: | University of Warwick. Department of Computer Science | ||||
| Official Date: | September 1992 | ||||
| Dates: |
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| Number: | Number 229 | ||||
| Number of Pages: | 40 | ||||
| DOI: | CS-RR-229 | ||||
| Institution: | University of Warwick | ||||
| Theses Department: | Department of Computer Science | ||||
| Status: | Not Peer Reviewed | ||||
| Publication Status: | Unpublished | ||||
| Publisher Statement: | Z. Liu, Anders P. Ravn, Erlin V. Sorensen and Chaochen Zhao, “Towards a Calculus of Systems Dependability”, <i>Journal of High Integrity Systems</i> <b>1</b>(1), Oxford University Press, pp. 49-65 (1994) | ||||
| Funder: | European Strategic Programme of Research and Development in Information Technology (ESPRIT), Danish Technical Research Council | ||||
| Grant number: | 3104 (ESPRIT), GR/D11521 (SERC), GR/H39499 | ||||
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