Abstract
The goal of this work is determining the periodicity t0 which the preventive maintenance will execute for minimizing the operation cost. This type of preventive change is very used in practice by industrial manufacturing. In this study, we choose the model of block replacement type1: A failed unit is replaced instantaneously at failure. The mathematical model used is based on the Weibull law with γ= 0. The results obtained are discussed according to the values of the parameters of the Weibull law β and η and of the costs of preventive maintenance and corrective DOI: http://dx.doi.org/10.5755/j01.mech.22.2.12269
Highlights
It is of great importance to avoid the failure of a system during actual operation when such an event is costly and/or dangerous
Because consecutive failures are dangerous to the system, timely preventive maintenance is necessary to support normal and continuous system operation
We consider a type of parts on n systems, we note as CP the cost of operation and Cf the cost of replacement due for failure of part at time T0
Summary
It is of great importance to avoid the failure of a system during actual operation when such an event is costly and/or dangerous. The solution of this problem resolved in the knowledge of the operational reliability and the determination of the most appropriate time to accomplish this preventive replacement For this reason, different models have been proposed in the area of planning preventive preservation in order to find out optimal replacement policies. Under the RFRW policy, a product that fails within the warranty period is replaced, comes with a full warranty, and is free of charge to the buyer They have developed cost models for both warranted and non-warranted products, and have derived corresponding optimal replacement ages, as based on minimized long-run expected cost rates. We propose an analytical and numerical method for solving the resulting differential equation and we give some numerical examples
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