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

Volume 11, Issue 2, August 2014 pp 100-105
Research Article

Cost-Benefit analysis of two-unit cold standby system with two types of failures-open failure due to fog and human error and short-circuit failure due to steep high temperatures

Ashok Kumar Saini

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

Academic Editor: Dr. Dase R. K.

Introduction: A large number of papers on a two unit standby redundant systems have appeared because of the large number of parameters governing system behaviour and the complex environment with uncertainties. In this paper we have taken short-circuit failure mode which is caused due to SH temp. {steep high temperatures) and open failure mode due to fog and human error. When the main unit fails then cold standby system becomes operative. SH temp. cannot occur simultaneously in both the units and after failure the unit undergoes very costly repair facility immediately. The failure time distributions are exponential with p and q as prob. of having SH temp. and Fog and Human error respectively and repair is of two types -Type -I ,Type-II with repair time distributions as arbitrary. Applying the regenerative point technique with renewal process theory we have evaluated (1) MTSF (2) Steady State Availability (3) Busy period analysis (4) Expected number of visits by the repairman and (5) Profit analysis.