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

Volume 11, Issue 2, August 2014 pp 129-134
Research Article

Cost- benefit analysis of two dissimilar warm standby system subject to failure due to atmospheric pressure and gravitational force 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: Development is a multi dimensional process. There are many interrelated and interacting process involved in it – social, economic, political, cultural, educational, technology, etc. Faults in any of the processes affect other processes and hence the overall development. Two-unit standby system subject to environmental conditions such as shocks, change of weather conditions etc. have been discussed in reliability literature by several authors due to significant importance in defence, industry etc. In the present paper we have taken two-non-identical warm standby system with failure time distribution as exponential and repair time distribution as general. The Role of atmospheric pressure and gravitational force under which the system operates plays significant role on its working. We are considering system under (i) atmospheric pressure and (ii) Gravitational force causing different types of failure requiring different types of repair facilities. Using semi Markov regenerative point technique we have calculated different reliability characteristics such as MTSF, reliability of the system, availability analysis in steady state, busy period analysis of the system under repair, expected number of visits by the repairman in the long run and gain-function and graphs are drawn.

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