Reliability and Cost-Effectiveness of a Redundant System with Three
Types of Failures and Repairs
Dharmvir Singh Vashisth1, A. S. Gousia Banu2
of Mathematics, R.N. Engg. College, Rohtak (Haryana), INDIA.
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.
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 .