TITLE:
Well-Posedness of Gaver’s Parallel System Attended by a Cold Standby Unit and a Repairman with Multiple Vacations
AUTHORS:
Abdukerim Haji, Bilikiz Yunus
KEYWORDS:
Gaver’s Parallel Pystem, C0-Semigroup, Well-Posedness
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.3 No.7,
June
30,
2015
ABSTRACT:
We investigate Gaver’s parallel system
attended by a cold standby unit and a repairman with multiple vacations. By
using C0-semigroup theory of linear operators in the functional analysis, we
prove well-posedness and the existence of the unique positive dynamic solution
of the system.