Joint Reliability of Two Consecutive-(1, l) or (2, k)-out-of-(2, n): F Type Systems and Its Application in Smart Street Light Deployment

To investigate some complex practical systems, such as a smart street light system composed of symmetrically deployed lighting and sensing equipment on both sides of a road segment, two consecutive-(1,l) or (2,k)-out-of-(2,n): F type systems that share components are quite useful and are therefore studied in this paper. The joint reliability of the two systems is presented by using the finite Markov chain imbedding approach (FMCIA), which also presents a new computational method for joint signatures of such systems. Compared to the direct method, the new method is not only computationally more efficient, but also presents a unified mathematical form. Finally, some numerical examples are presented to show the computational process, and some further applications and extensions of the models and the methods developed here are mentioned.