RELIABILITY EQUIVALENCE FACTORS FOR SOME SYSTEMS WITH MIXTURE LINEAR INCREASING FAILURE RATES

In this article, the failure rates of the system's components are functions of time t. We study two cases (i) the life time distribution of a components has two stages with increasing failure rates, (ii) the failure rates of the components have the two stages. The reliability equivalence factors of some systems with identical components are obtained. Two different methods are used to improve the given systems. Numerical examples are presented to interpret how one can utilize the obtained results. Some special cases are obtained from our results. KEY WORDS Linear increasing failure rate distribution; rayleigh distribution; exponential distribution; mixture distributions; mixture failure rates; hot duplication; reduction method; reliability equivalence factors. 1