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Bulletin of Pure & Applied Sciences- Mathematics and Statistics
Year : 2010, Volume : 29e, Issue : 1
First page : ( 111) Last page : ( 116)
Print ISSN : 0970-6577. Online ISSN : 2320-3226.

Study of system reliability with two units causes sudden failure

Pajankar Vishal D.1,*, Khot P.G.2

1Department of Educational Survey and Data Processing, NCERT, New Delhi – 110016

2Department of Statistics, RTM Nagpur University, Nagpur – 440 010

*Email: vdp1234@rediffmail.com

Online published on 22 February, 2013.

Abstract

The probability theory of reliability has grown out of the demand of modern technology which says the probability of a system or unit giving satisfactory performance for a specific period of time. Under specified operating condition when a system or unit does not perform satisfactorily, it is said to have failed. Tuteja [4] considered the system with two dissimilar units, one operate and other in standby mode. In the study, the standby unit can work for a certain time period and come to downstate even without failure. Pajankar and Khot [2] assumed a system with two units which stop it’s working due to some failure. This failure of the units causes the failure of the complete systems due to some unknown reasons. They studied the system and designed a model for its reliability. Here, we considered a system with non-similar and non-identical units causing sudden failure due to an unknown reason. This sudden failure can occur in the system which causing the total system failure. The failed unit(s) of system may be repaired. The model is analyzed using various reliability measures of the system.

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Keywords

Probability theory, Reliability measures, Modern technology, Sudden failure.

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