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Journal of Korean Society for Quality Management 1992;20(1): 11-. |
The Designed and Simplified Markov Models for Systems Based on Kronecker Algebra |
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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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