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

Abdukerim Haji¹, Tursunjan Keyim¹, Bilikiz Yunus²

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

DOI: 10.4236/jamp.2016.48168                

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

Conflicts of Interest

The authors declare no conflicts of interest.

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