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

JAMP > Vol.3 No.7, July 2015

Journal of Applied Mathematics and Physics

Volume 3, Issue 7 (July 2015)

ISSN Print: 2327-4352 ISSN Online: 2327-4379

Google-based Impact Factor: 1.00 Citations

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

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DOI: 10.4236/jamp.2015.37101 3,192 Downloads 3,936 Views Citations

Author(s)

Abdukerim Haji¹, Bilikiz Yunus²

Affiliation(s)

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

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

Share and Cite:

Haji, A. and Yunus, B. (2015) Well-Posedness of Gaver’s Parallel System Attended by a Cold Standby Unit and a Repairman with Multiple Vacations. Journal of Applied Mathematics and Physics, 3, 821-827. doi: 10.4236/jamp.2015.37101.

Cited by

[1]	Stochastic behavior of parallel system with expert repair and maintenance
	Life Cycle Reliability and Safety Engineering, 2018

[2]	Asymptotic Stability of Gaver's Parallel System Attended by a Cold Standby Unit and a Repairman with Multiple Vacations
	World Journal of Engineering and Technology, 2015

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