Impact of Abnormal Weather Conditions on Various Reliability Measures of a Repairable System with Inspection

Authors

  • Ashish K. Barak Department of Mathematics, Manipal University, Jaipur, India
  • M. S. Barak Department of Mathematics, Indira Gandhi University, Meerpur, Rewari, India

Keywords:

Reliability model, weather conditions, inspection, repairable system, semi-Markov process and cost-benefit analysis

Abstract

The main concentration of the present paper is to analyze the impact of abnormal weather conditions on various reliability measures of a repairable system of single–unit. For this purpose, a reliability model is developed in which unit may fail totally either directly from normal mode or via partial failure. A single repair facility is available who plays the dual role of inspection and repair. The totally failed unit is first inspected by the server to examine the feasibility of its repair. If repair of the unit is not feasible, it is replaced by new one. The operation, inspection, replacement and repair of the unit are stopped in abnormal weather as a precautionary measure to avoid excessive damage to the system. Failure rates, repair rates, inspection rates, and rate of change of weather conditions follow general distribution like Weibull distribution. By using semi-Markov process and regenerative point technique some reliability and economic measures of system effectiveness are obtained. The graphical behavior of MTSF and profit with respect to abnormal weather rate has also been shown for a particular case.

Downloads

Published

2016-01-25

How to Cite

Barak, A. K., & Barak, M. S. (2016). Impact of Abnormal Weather Conditions on Various Reliability Measures of a Repairable System with Inspection. Thailand Statistician, 14(1), 35–45. Retrieved from https://ph02.tci-thaijo.org/index.php/thaistat/article/view/47872

Issue

Section

Articles