Comparative study of reliability parameter of a system under different types of distribution functions
Author(s) -
Pathak V.K.,
Mehata Kamal,
S. Seema,
Namdeo Ashish
Publication year - 2014
Publication title -
african journal of mathematics and computer science research
Language(s) - English
Resource type - Journals
ISSN - 2006-9731
DOI - 10.5897/ajmcsr2014.0539
Subject(s) - weibull distribution , reliability engineering , reliability (semiconductor) , markov chain , exponential distribution , markov process , unit (ring theory) , exponential function , computer science , process (computing) , variable (mathematics) , markov model , point (geometry) , renewal theory , markov renewal process , statistics , mathematical optimization , mathematics , engineering , markov property , mathematical analysis , physics , power (physics) , mathematics education , geometry , quantum mechanics , operating system
In this paper a two unit standby system with single repair facility has been considered. When a working unit fails, it is immediately taken over by standby unit and repair on the failed unit is started immediately. Taking two types of distribution, namely, Weibull and Erlangian, various system effectiveness measures such as MTSF, Availability and Busy Periods are compared and results are interpreted numerically. Regenerative Point Technique and Semi-Markov process have been employed in this paper to find the results. Results are supported with numerical data also. Failure time distributions are taken to be exponential whereas the repair times are particular. The result obtained from this can be applied to study complex system where small change in the value of one variable affects the system measures to a great extent. Key words: MTSF, availability, busy period, regenerative point technique, Semi-Markov process.
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