Use of a modified Markov models for parallel reliability systems that are subject to maintenance
Laith Abd Al Ameer issa, Zahir Abdul Haddi Hassan
Abstract
Abstract In this paper, we shall describe the reliability function R(t) as probability that the system will not malfunction within a given interval of execution times for maintained systems. Although, we shall be concerned with developing the reliability functions and predicted time to equipment breakdown (MTTF), Time between failures on average (MTBF) and the overall repair time (MTTR) from concepts of Markov model and some of transformations of Laplace to obtain the reliability and availability.
Topics & Concepts
Mean time between failuresReliability engineeringReliability (semiconductor)Laplace transformMarkov chainInterval (graph theory)Computer scienceMarkov processMarkov modelFunction (biology)Reliability theoryFailure rateMathematicsStatisticsEngineeringEvolutionary biologyPower (physics)BiologyMathematical analysisMachine learningPhysicsQuantum mechanicsCombinatoricsReliability and Maintenance OptimizationSoftware Reliability and Analysis ResearchRisk and Safety Analysis