Management Science and Financial Engineering
- Volume 7 Issue 2
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- Pages.73-90
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- 2001
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- 2287-2043(pISSN)
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- 2287-2361(eISSN)
Reliability Models for Redundant Systems Using Phase-type Distributions
- Moon, Sinmyeong (Department of Industrial Engineering, Seoul National University) ;
- Lie, Changhoon (Department of Industrial Engineering, Seoul National University)
- Published : 2001.11.01
Abstract
This paper presents the reliability models for redundant systems composed of repairable components whose failure time and repair time distributions are phase-type. It is shown that the distribution of time to system failure is also phase-type. The dependency between components are considered and integrated into the model by the used of the rate adjustment factor. The phase-type representation is constructed for the system through algebraic operations on the parameters of components\` failure time and repair time distributions and the corresponding rate adjustment factors. Types of system structures considered are parallel, k-out-of-N system with load sharing scheme and standby system with operation priority.
Keywords