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Haji, A. and Yunus, B. (2015) Well-Posedness of Gaver’s Parallel System Attended by a Cold Standby Unit and a Repairman with Multiple Vacations. Journal of Applied Mathematics and Physics, 3, 821-827. http://dx.doi.org/10.4236/jamp.2015.37101

has been cited by the following article:

• TITLE: Asymptotic Stability of Gaver’s Parallel System Attended by a Cold Standby Unit and a Repairman with Multiple Vacations

  AUTHORS: Abdukerim Haji

  KEYWORDS: Gaver’s Parallel Pystem, C0-Semigroup, Irreducibility, Asymptotic Stability

  JOURNAL NAME: World Journal of Engineering and Technology, Vol.3 No.3C, October 23, 2015

  ABSTRACT: We investigate Gaver’s parallel system attended by a cold standby unit and a repairman with multiple vacations. By analysing 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.