Availability analysis of systems with involvement of two subsystems using copula distribution

Author

Gulati, Jyoti ; Singh, V.V. ; Rawal, D.K. ; Modu, Babagana

Author_Institution

Dept. of Math., Mewar Univ., Chittorgarh, India

fYear

2014

fDate

8-10 Oct. 2014

Firstpage

1

Lastpage

7

Abstract

This paper deals with the study of reliability measures of a system, which is a combination of two subsystems, each of them having two units in parallel configuration. The subsystem-1 is having two parallel units and working under the 1-out-of-2: G policy and the subsystem-2 is connected with subsystem-1 in a series configuration is also working under the same policy 1-out-of-2:G. The units of subsystem-1 & subsystem -2 have different types of failure and two type of repairs namely general repair and Gumbel-Hougaard family copula distribution. The important reliability measures of system are calculated by using the supplementary variable technique and Laplace transform.

Keywords

Laplace transforms; exponential distribution; failure analysis; maintenance engineering; redundancy; reliability theory; 1-out-of-2-G policy; Gumbel-Hougaard family copula distribution; Laplace transform; failure types; general repair; parallel configuration; series configuration; subsystem involvement; subsystem-1; subsystem-2; supplementary variable technique; system availability analysis; system reliability measures; Availability; Cost benefit analysis; Employee welfare; Laplace equations; Maintenance engineering; Mathematical model; Availability; Gumbel-Hougaard family copula; MTTF; Supplementary variable technique; cost analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Reliability, Infocom Technologies and Optimization (ICRITO) (Trends and Future Directions), 2014 3rd International Conference on

Conference_Location

Noida

Print_ISBN

978-1-4799-6895-4

Type

conf

DOI

10.1109/ICRITO.2014.7014668

Filename

7014668