Aven and Jensen (1999) proposed an approximation to the downtime distribution for arbitrary coherent systems with binary and independent repairable components, where each component follows an alternating renewal process. The approximation is based on a mixture of the duration distributions of the cut sets in the system. We extend this approach to coherent systems composed by multistate independ...

Abstract Finite state Markov processes and their aggregated have been extensively studied, especially in ion channel modeling reliability modeling. In field, the asymptotic behaviors of repairable systems modeled by both paid much attention to. For a process, it is well-known that limiting measures such as availability transition probability do not depend on initial process. However, for an dif...

In multi-state systems (MSS) reliability problems, it is assumed that the components of each subsystem have different performance rates with certain probabilities. This leads into extensive computational efforts involved in using the commonly employed universal generation function (UGF) and the recursive algorithm to obtain reliability of systems consisting of a large number of components. This...

This paper deals with the condition based maintenance modeling for availability analysis of repairable mechanical systems using MARKOV analysis. Maintenance actions are selected out of four actions namely no repair, minor maintenance, imperfect maintenance and major maintenance. The various probabilities of selecting the maintenance depend upon the level of degradation. Thus system MARKOV model...

In this paper, a new reliability measure, named sequential interval reliability, is introduced for homogeneous semi-Markov repairable systems in discrete time. This measure the probability that system working given sequence of non-overlapping time intervals. Many measures are particular cases we propose; case function and availability function. A recurrent-type formula established calculation t...

Phased mission analysis is carried out to predict the reliability of systems which undergo a series of phases, each with differing requirements for success, with the mission objective being achieved only on the successful completion of all phases. Many systems from a range of industries experience such missions. The methods used for phased mission analysis are dependent upon the repairability o...

Many systems can be modelled as a mission made up of a sequence of discrete phases. Each phase has a different requirement for successful completion and mission failure will result if any phase is unsuccessful. Fault tree analysis and Markov techniques have been used previously to model this type of system for non-repairable and repairable systems respectively. Cause-consequence analysis is an ...

  This expository article shows how the maximum likelihood estimation method and the Newton-Raphson algorithm can be used to estimate the parameters of the power-law Poisson process model used to analyze data from repairable systems .