Journal of Applied Mathematics and Physics

Volume 6, Issue 11 (November 2018)

ISSN Print: 2327-4352   ISSN Online: 2327-4379

Google-based Impact Factor: 0.70  Citations  

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

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DOI: 10.4236/jamp.2018.611185    475 Downloads   902 Views  

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.

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Osman, A. , Haji, A. and Ablimit, A. (2018) Asymptotic Stability of the Dynamic Solution of an N-Unit Series System with Finite Number of Vacations. Journal of Applied Mathematics and Physics, 6, 2202-2218. doi: 10.4236/jamp.2018.611185.

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