Wenlong Wang, Zhiying Li, "The Spectrum of A Parallel Repairable System with Warm Standby," WSEAS Transactions on Mathematics, vol. 12, pp. -, 2013, DOI:
Wenlong Wang, Zhiying Li. The Spectrum of A Parallel Repairable System with Warm Standby.
WSEAS Transactions on Mathematics. 2013;12:-.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 12, 2013
The Spectrum of A Parallel Repairable System with Warm Standby
Authors: ,
Abstract: In this paper, the spectrum of a parallel repairable system with warm standby is investigated. Firstly, we formulate the problem into a suitable Banach space. Then we carry out a detailed spectral analysis of the system operator. Based on the spectral analysis and C0 semigroup theory, we prove the existence of positive solution and finite expansion of the solution corresponding to its eigenvector. As a consequence we get that its dynamic solutions converges exponentially to the stead-state solution. Finally, we obtain the finite expansion of solution and derive some reliability indices of the system.
Pages: - WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 12, 2013DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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