Stochastic Processes pp 199-217 | Cite as
Redundant Systems
Abstract
High system reliability can be achieved by providing redundancy and maintenance. It is not too much to say that learning reliability is analyzing redundant systems and deriving optimum maintenance policies. In the preceding chapters, we have already given many useful examples of reliability models to understand naturally stochastic processes, and conversely, to apply the theory of stochastic processes to actual reliability models. As final examples of reliability models, we take up standard redundant systems and show systematically how to use well the techniques of stochastic processes to analyze them and to obtain their reliability properties theoretically. This would be greatly helpful for understanding stochastic processes and learning reliability theory [1, p. 160].
Keywords
Renewal Process Repair Time Main Unit Renewal Equation Minimal RepairReferences
- 1.Birolini A (1999) Reliability engineering theory and practice. Springer, New YorkMATHGoogle Scholar
- 2.Brown M, Proschan F (1983) Imperfect repair. J Appl Prob 20:851–859MathSciNetMATHCrossRefGoogle Scholar
- 3.Nakagawa T (2005) Maintenance theory of reliability. Springer, LondonGoogle Scholar
- 4.Nakagawa T (2002) Two-unit redundant models. In: Osaki S (ed) Stochastic models in reliability and maintenance. Springer, Berlin, pp 165–185Google Scholar
- 5.Nakagawa T, Osaki S (1976) Reliability analysis of a one-unit system with unrepairable spare units and it optimization applications. Oper Res Q 27:101–110MathSciNetCrossRefGoogle Scholar