SIGNATURES OF MULTI-STATE SYSTEMS BASED ON A SERIES/PARALLEL/RECURRENT STRUCTURE OF MODULES
He Yi, N. Balakrishnan, Xiang Li
Abstract
In this paper, we consider multi-state coherent systems that can be regarded as a series/parallel/recurrent connection of multi-state modules with binary/multi-state components. The multi-state (survival) signatures of such systems are presented in terms of multi-state (survival) signatures of related modules based on the structures. For a recurrent structure, the multi-state survival signature of the structure is also needed. The results established here are finally illustrated with a number of examples.
Topics & Concepts
State (computer science)Signature (topology)Series (stratigraphy)Computer scienceSeries and parallel circuitsConnection (principal bundle)Binary numberTheoretical computer scienceAlgorithmMathematicsArithmeticPhysicsVoltagePaleontologyBiologyQuantum mechanicsGeometryAdvanced Data Processing TechniquesCryptographic Implementations and SecuritySoftware Reliability and Analysis Research