This work presents an improved genetic algorithm (IGA) for minimizing periodic preventive maintenance costs in series-parallel systems. The intrinsic properties of a repairable system, including the structure of reliability block diagrams and component maintenance priorities are considered by the proposed IGA. The proposed component importance measure considers these properties, identifies key ...

In this paper, a statistical model is presented for decision making in repairing water pipes network. The water distribution system has been considered as a “repairable” system which is under repeating failure modes. From this, a practical model for anticipating the failure of the water pipes in repairable systems has been presented using the trend renewal process concept. In this process, the ...

this paper is devoted to the study of determining optimal process mean in system production with the two markets for the sale of goods. in this paper, we developed an absorbing markov chain model in production systems where all items are inspected %100 for conformance with their specification limits. when the value of the quality characteristic of an item falls below a lower limit, the item is ...

the notion of infinite order markov process is introduced and the markov property of the flow of information is established.

We consider two important time scales—the Markov and cryptic orders—that monitor how an observer synchronizes to a finitary stochastic process. We show how to compute these orders exactly and that they are most efficiently calculated from the -machine, a process’s minimal unifilar model. Surprisingly, though the Markov order is a basic concept from stochastic process theory, it is not a probabi...

Failure distributions of components and assemblies are commonly approximated by analytical functions, e.g. by exponential or Weibull distributions. The advantages of this approach are its simplicity and the staightforwardness of the calculations. Another possibility is to describe failure distributions by means of Markov or semiMarkov chains, however several constraints are thereby introduced. ...

In this paper, the Non deterministic Repairable Fault Tree (NdRFT) formalism is proposed: it allows the modeling of failures of complex systems in addition to their repair processes. Its originality with respect to other Fault Tree extensions allows us to address repair strategy optimization problems: in an NdRFT model, the decision as to whether to start or not a given repair action is non det...

We consider two important time scales-the Markov and cryptic orders-that monitor how an observer synchronizes to a finitary stochastic process. We show how to compute these orders exactly and that they are most efficiently calculated from the ε-machine, a process's minimal unifilar model. Surprisingly, though the Markov order is a basic concept from stochastic process theory, it is not a probab...

The use of a model-driven approach to the analysis of repairable systems is considered and shown to be userul as a way of understanding the characteristics of such a system. However, considerable statistical problems arise from the use of a set of standard model-building elements. In particular, identification problems arise in many of the modeis. The argument is iIIustrated by examples from so...

Cheng, Nan, M.S., August 2011, Industrial and Systems Engineering Bayesian Nonparametric Reliability Analysis Using Dirichlet Process Mixture Model Director of Thesis: Tao Yuan This thesis develops a Bayesian nonparametric method based on Dirichlet Process Mixture Model (DPMM) and Markov chain Monte Carlo (MCMC) simulation algorithms to analyze non-repairable reliability lifetime data. Kernel d...