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International Journal of Statistika And Mathematika E-ISSN: 2249-8605

 Volume 1, Issue 1, 2011 pp 37-45

Date of Publish: 28 Sept 2011


Research Article


Reliability and Cost-Effectiveness of a Redundant System with Three Types of Failures and Repairs


Dharmvir Singh Vashisth1, A. S. Gousia Banu2


1Department of Mathematics, R.N. Engg. College, Rohtak (Haryana), INDIA.


2Department of Management, Narayana Engineering College (Nec) Nellore (A.P), INDIA



Received 03 Nov 2011; Revised 12 Nov 2011; Accepted 15 Nov 2011

Academic Editor: Dr. Jadhav V.A.



The goal of this paper is to carry out the reliability and cost effectiveness of a two unit cold standby system with allowed downtime and correlated failure and repair times. For this purpose, a stochastic Model is developed in which one unit is operative and other is kept as cold standby. Each unit has three modes of failure viz. normal, degraded and total failure. The time taken in replacement of a failed unit is negligible but it is a random variable. The failure rates are constant and system repair time are arbitrary distributed. The numerical results for reliability and cost-effectiveness are obtained using supplementary variable technique. The repair and failure times are correlated .


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