African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 245

Full Length Research Paper

Comparative study of reliability parameter of a system under different types of distribution functions

V.K. Pathak
  • V.K. Pathak
  • Department of Mathematics and IT, Government P.G. College, Dhamtari-Chhattisgarh, India
  • Google Scholar
Kamal Mehata
  • Kamal Mehata
  • Department of Computer Science, Nirma University, Ahmedabad-Gujarat,India.
  • Google Scholar
Seema Sahu
  • Seema Sahu
  • Department of Mathematics and IT, Government P.G. College, Dhamtari-Chhattisgarh, India.
  • Google Scholar
Ashish Namdeo
  • Ashish Namdeo
  • Comptech College, Dhamtari-Chhattisgarh, India.
  • Google Scholar


  •  Received: 04 February 2014
  •  Accepted: 07 April 2014
  •  Published: 30 June 2014

Abstract

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.