Well-Posedness of Gaver’s Parallel System Attended by a Cold Standby Unit and a Repairman with Multiple Vacations

Abdukerim Haji¹, Bilikiz Yunus²

¹College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China.
²College of Mechanical Engineering, Xinjiang University, Urumqi 830008, China.

DOI: 10.4236/jamp.2015.37101                

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.

Keywords

Gaver’s Parallel Pystem, C0-Semigroup, Well-Posedness

Conflicts of Interest

The authors declare no conflicts of interest.

References

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