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 WJET  Vol.3 No.3 C , October 2015
Asymptotic Stability of Gaver’s Parallel System Attended by a Cold Standby Unit and a Repairman with Multiple Vacations
Abdukerim Haji
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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.
Keywords: Gaver’s Parallel Pystem, C0-Semigroup, Irreducibility, Asymptotic Stability
Cite this paper: Haji, A. (2015) Asymptotic Stability of Gaver’s Parallel System Attended by a Cold Standby Unit and a Repairman with Multiple Vacations. World Journal of Engineering and Technology, 3, 277-283. doi: 10.4236/wjet.2015.33C041.
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