A Parallel System with Arrival and Maximum Repair Time of the Server
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SHARMA, Chitaranjan. A Parallel System with Arrival and Maximum Repair Time of the Server. In: Conference on Applied and Industrial Mathematics: CAIM 2017, 14-17 septembrie 2017, Iași. Chișinău: Casa Editorial-Poligrafică „Bons Offices”, 2017, Ediţia 25, p. 48. ISBN 978-9975-76-247-2.
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Conference on Applied and Industrial Mathematics
Ediţia 25, 2017
Conferința "Conference on Applied and Industrial Mathematics"
Iași, Romania, 14-17 septembrie 2017

A Parallel System with Arrival and Maximum Repair Time of the Server


Pag. 48-48

Sharma Chitaranjan
 
Government Girls College Dhar M.P.
 
 
Disponibil în IBN: 9 ianuarie 2024


Rezumat

An attempt has been made to discuss a parallel system of two identical units in which some arrival time is given to the server for carrying out repair activities. The server repairs the unit at its failure up to a maximum repair time. If repair of the unit by the server is not possible in the time, it is replaced by new one with some replacement time. The failure time of the unit and the time to which unit undergoes for replacement are exponentially distributed while the distributions of arrival time of the server, repair and replacement time of the unit are taken as arbitrary with di erent probability density function. The semi-Markov process and regenerative point technique are used to derive the expressions for various reliability measures of the system model. The graphical study of the results obtained for a particular case has also been made.

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