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

Volume 11, Issue 2, August 2014 pp 79-85
Research Article

Benefit-benefit analysis of a two-dissimiliar cold standby system subject to rainfall and switch failure with general as well as Erlang-k repair facility as first come last serve

Ashok Kumar Saini

Associate Professor, Department of Mathematics, BLJS College, Tosham, Bhiwani, Haryana, INDIA.

Academic Editor: Dr. Dase R. K.

Introduction: To transfer a unit from the standby state to the online state, a device known as ‘switching device’ is required. 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 and the repair facility is FCLS i.e. First Come Last Serve. We have taken two dissimilar units failure due to rainfall and switch failure distribution as exponential and repair time distribution as General as well as Erlang-K phase type. We have find out MTSF, Availability analysis, the expected busy period of the server for repair the failed unit under rainfall 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 failure in (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] and cost- benefit analysis using regenerative point technique. A special case using failure and repair distributions as exponential is derived and graphs have been drawn.