Reliability Measures Analysis of an Industrial System under Standby Modes and Catastrophic Failure

Abstract

The objective of this research paper is, to present the reliability measures of a model by representing an industrial system having three subsystems. Two of the subsystems have standby unit while the third one has n units in parallel configuration. The entire system can fail due to a failure in subsystems or due to the catastrophic failure. The system failure and the repair rates are assumed to be constant. Markov and supplementary variable methodologies have been used to achieve the mathematical analysis of this model. Generalized expressions of state probabilities, system availability, reliability, mean time to failure, mean time to repair, cost analysis and sensitivity analysis are developed. Graphs for the resulting expressions have been shown.

Analysis of Network Reliability Characteristics and Importance of Components in a Communication Network

“…Average risk growth factor (ARGF) is the average impact of all component failures individually on the network system based on [15]; the average risk growth factor [35] can be formulated as:…”

“…They had optimized the reliability analysis with the application of an artificial neural network approach [34]. Ram and Manglik [35,36] analyzed the reliability model of an industrial system having three subsystems, using the Markov and supplementary variable technique. Ram and Singh [37] studied the reliability characteristics of a complex system using the Markov process and Gumbel-Houggard family of copula.…”