Improving the performance of the series parallel system with linear exponential distribution

In this paper we study a series-parallel system consists of n blocks connected in series. Each block consists of mi components connected in parallel such that 1 ≤ i ≤ n. All components are independent and non-identically distributed and have a failure rate as a function of time. All components are distributed as linear exponential distribution. We discuss four methods to improve the performance of the original system reliability. We derive the equivalence factors of the original system to be as an improved system according to these methods. We discuss special cases of this system. Finally, numerical results are presented. Mathematics Subject Classification: 60E05, 62N05, 90B25 Corresponding author 1038 Abdelfattah Mustafa, Beih S. El-Desouky and Ahmed Taha