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International Journal of Statistika and Mathematika, ISSN: 2277- 2790 E-ISSN: 2249-8605

Volume 11, Issue 3, August 2014 pp 171-176

Research Article

Cost-benefit analysis of a two-non identical cold standby system subject to corrosive atmosphere with switch failure

Ashok Kumar Saini

Associate Professor, Department of Mathematics, B. L. J. S. College, Tosham, Bhiwani, Haryana, INDIA.

Academic Editor: Dr. Dase R. K.


Introduction: Atmospheric corrosion refers to the corrosive action that occurs on the surface of a metal in an atmospheric environment. It occurs when the surface is wet by moisture formed due to rain, atmospheric corrosion and condensation. Atmospheric corrosion is a complex process involving a large number of interacting and constantly varying factors, such as weather conditions, air pollutants, material conditions, etc. The combined effect of these factors results in a great variations in corrosion rates. Generally, we assume that (1) the switching device is perfect in the sense that it does not fail and (2) the repair facility is first come first serve basis.. However, there are practical situations where the switching device can also fail.We have taken units failure due to atmospheric corrosion, switch failure with failure time distribution as exponential and repair time distribution as General.We have find out MTSF, Availability analysis, the expected busy period of the server for repair the failed unit under atmospheric corrosion in (0,t], expected busy period of the server for repair in (0,t], the expected busy period of the server for repair of switch failurein (0,t], the expected number of visits by the repairman for failure of units in (0,t], the expected number of visits by the repairman for switch failure in (0,t] andCost-Benefit analysis using regenerative point technique. A special case using failure and repair distributions as exponential is derived and graphs have been drawn.

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