Well-Posedness of Gaver’s Parallel System Attended by a Cold Standby Unit and a Repairman with Multiple Vacations
نویسندگان
چکیده
منابع مشابه
Asymptotic Stability of Gaver’s Parallel System Attended by a Cold Standby Unit and a Repairman with Multiple Vacations
We investigate Gaver’s parallel system attended by a cold standby unit and a repairman with multiple vacations. By analysing the spectral distribution of the system operator and taking into account the irreducibility of the semigroup generated by the system operator we prove that the dynamic solution converges strongly to the steady state solution. Thus we obtain asymptotic stability of the dyn...
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We consider a basic cold standby system attended by a single repairman. The system satisfies the usual conditions (i.i.d. random variables, perfect repair, instantaneous and perfect switch, queueing). The operative unit has a constant failure rate and an arbitrary repair time distribution. We analyse the idle time of the repairman during the survival time of the system. Finally, as an example, ...
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics and Physics
سال: 2015
ISSN: 2327-4352,2327-4379
DOI: 10.4236/jamp.2015.37101