Existence and Uniqueness of the Dynamic Solution of a Series-Parallel Repairable System Consisting of Three-Unit with Multiple Vacations of a Repairman - Journal of Applied Mathematics and Physics

JAMP > Vol.4 No.8, August 2016

Existence and Uniqueness of the Dynamic Solution of a Series-Parallel Repairable System Consisting of Three-Unit with Multiple Vacations of a Repairman ()

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DOI: 10.4236/jamp.2016.48168 1,568 Downloads 2,358 Views Citations

Author(s)

Abdukerim Haji¹, Tursunjan Keyim¹, Bilikiz Yunus²

Affiliation(s)

¹College of Mathematics and System Sciences, Xinjiang University, Urumqi, China.
²College of Mechanical Engineering, Xinjiang University, Urumqi, China.

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.

KEYWORDS

Series-Parallel Repairable System, C_0-Semigroup, Dynamic Solution

Share and Cite:

Haji, A. , Keyim, T. and Yunus, B. (2016) Existence and Uniqueness of the Dynamic Solution of a Series-Parallel Repairable System Consisting of Three-Unit with Multiple Vacations of a Repairman. Journal of Applied Mathematics and Physics, 4, 1585-1591. doi: 10.4236/jamp.2016.48168.

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