About the optimization of overhead system maintenance

Purpose is to propose and study a mathematical model of optimization of maintenance of overhead devices, which considers the scope of recovery of service life. Methods. The analysis of this issue has proposed a strategy and a mathematical model of optimization of maintenance of overhead system, as a kind of a long length object that may undergo preventive replacements and overhauls with minimum emergency repair in case of failures of the overhead system. Besides, the paper describes several particular cases of the general model when performing only preventive replacements, or only preventive overhauls. To take into account the scope of service life recovery when performing a preventive overhaul, we use the parameter, which means the “age” of a long length object and which is defined as the difference between its pre-repair service life and inter-repair service life, related to the pre-repair service life. Results. At the given values of the number of preventive overhauls and scope of service life recovery, we obtained the expressions to define the optimal frequency of preventive overhauls and replacements of overhead system, as well as the optimal specific operating expenses. At the given values of the frequency of preventive replacements and scope of service life recovery, we obtained the expression to define the optimal number of preventive overhauls up to the replacement of overhead system. Conclusion. To take into account the scope of service life recovery after overhaul, it is advisable to use the parameter which is defined as the difference between pre-repair service life and inter-repair service life, related to the prerepair service life of the overhead system. The proposed mathematical model of optimization of maintenance makes it possible to define the optimal frequency of preventive overhaul and replacements of overhead system, as well as the optimal number of overhaul for the period of the overhead system operating life under the given scope of recovery of service life.

service life, scope of recovery, repair, replacement, mathematical model, optimization

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