TITLE:
Existence and Uniqueness of the Dynamic Solution of a Series-Parallel Repairable System Consisting of Three-Unit with Multiple Vacations of a Repairman
AUTHORS:
Abdukerim Haji, Tursunjan Keyim, Bilikiz Yunus
KEYWORDS:
Series-Parallel Repairable System, C_0-Semigroup, Dynamic Solution
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.4 No.8,
August
24,
2016
ABSTRACT:
We investigate a series-parallel repairable system consisting of three-unit with multiple vacations of a repairman. By using C0-semigroup theory of linear operators in the functional analysis, we prove that the system is well-posed and has a unique positive dynamic solution.