Vol 2 , Issue 4 , October - December 2014 | Pages: 6-10 | Research Paper
Received: September 30, 2014 | Revised: October 20, 2014 | Accepted: November 20, 2014 | Published Online: December 15, 2014
Author Details
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In this present paper is deal with a mathematical study of reliability and MTTF of an industry under common cause failure system. a system which consists of four subsystems, A, B, D and E connected in series. Subsystem A and B have two units in series, failure of either of the two causes complete failure of the system. Subsystem D has only one unit in series with B1 and B2. Subsystem E, the heat exchanger has two units connected in parallel redundance. Failure occurs only when both the units fail. By using supplementary variable technique, Laplace Transforms of the probabilities, being in various states, as well as up and down states of the system have been obtained along with steady state behavior and MTTF of the system. MTTF has also been discussed graphically.
Keywords
MTTF, Reliability; Availability; Common Cause Failure System.