Journal of Korean Society for Quality Management (품질경영학회지)
- Volume 20 Issue 1
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- Pages.11-21
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- 1992
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- 1229-1889(pISSN)
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- 2287-9005(eISSN)
The Designed and Simplified Markov Models for Systems Based on Kronecker Algebra
Abstract
The Purpose of this paper contribute to design the multistate Markov process for the reliability of a system when the transition-rates of each unit depend on the current state of the system. The system transition-rate matrix has the form of the kronecker sum of transition rate matrices for the units, is analyzed and investigated. As a result, the system which has the state-dependent units is detaily analyzed and introduced by the approach of an algorithm for the system transition-rate matrix based on the kronecker algebra.
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