New bounds of increasing multi-state consecutive k-out-of-r-from-n:F system by applying the third order Boole-Bonferroni bounds

Abstract

The multi-state consecutive k-out-of-r-from-n: F system model consists of n linearly ordered components where the system and its components may be in one of the possible states: 0, 1, …, M. Such model can be used in oil pipeline systems, telecommunication systems, and mobile communication systems. Other applications are in the radar detection, in quality control, inspection procedures and in a series of microwave towers. This paper suggests new bounds of multi-state consecutive k-out-of-r-from-n: F system using the third order Boole-Bonferroni bounds when the components have the same state distribution. Further, Comparisons between the existing and suggested bounds are given.