Probabilistic Analysis of a System with a 2-Unit Subsystem

This paper presents 2 models with single and multiple repair facilities. The main system in these models has three subsystems: A, B, C. A and C have one unit each; B has two units. A has a general life time; the units of B have exponential life time distributions, and C is exposed to a damage process. In model 1 the joint Laplace-Stieltjes transform of up and down times and the moments are derived. In model 2 the marginal repair time distribution is derived. The complete derivations and results are published in a separately available Supplement.