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Kovalyov, M.Y. Portmann, M.C. and Oulamara, A. (2006) Optimal Testing and Repairing a Failed Series System. Journal of Combinatorial Optimization, 12, 279-295.
https://doi.org/10.1007/s10878-006-9633-0

has been cited by the following article:

• TITLE: Asymptotic Stability of the Dynamic Solution of an N-Unit Series System with Finite Number of Vacations

  AUTHORS: Abdugeni Osman, Abdukerim Haji, Askar Ablimit

  KEYWORDS: N-Unit Series System, C0-Semigroup, Irreducibility, Asymptotic Stability

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.6 No.11, November 13, 2018

  ABSTRACT: We investigate an N-unit series system with finite number of vacations. By analyzing the spectral distribution of the system operator and taking into account the irreducibility of the semigroup generated by the system operator we prove that the dynamic solution converges strongly to the steady state solution. Thus we obtain asymptotic stability of the dynamic solution of the system.