Theoretical analysis of inverse weibull distribution
WSEAS Transactions on Mathematics
Structural reliability improvement using non-linear and adaptive multi-model techniques
MAMECTIS'08 Proceedings of the 10th WSEAS international conference on Mathematical methods, computational techniques and intelligent systems
SMO'09 Proceedings of the 9th WSEAS international conference on Simulation, modelling and optimization
About an optimal method type MAX MIN for the analysis of mining works stability in open pits
FANDB'09 Proceedings of the 2nd WSEAS international conference on Finite differences, finite elements, finite volumes, boundary elements
WSEAS Transactions on Mathematics
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In the literature of specialty there are known many methods of analyzing the optimum moment to replace the equipments: prediction methods, min-max methods and methods concerning the use of renewal strategies (these are methods of probabilistic type that are also using elements of operational calculations). This work presents a modern viewing synthesis concerning the main problems about the optimal replacement timing, using a mathematical model based on probabilities and differential calculus. Practically, it is based on the graph associated to an operation / disturbance process, part of a system composed of several subsystems. It is built the system of equations with finite differences being associated to the corresponding system of differential equations. Laplace transformations are applied in order to find the solution of the system practically this represents the unavailabilities of the system components. The failure points of the system are easily obtained, being solutions of equations represented by the system reliability and components unavailabilities.