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Semi-Markov Processes: Applications in System Reliability and Maintenance by Franciszek Grabski

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11

Simple model of maintenance

Abstract

Preventive maintenance is conducted to keep a device working and extend its life. In this chapter we present a simple semi-Markov model of preventive maintenance. The constructed model allows us to formulate a problem of optimizing the time to preventive maintenance. The theorem formulates and proves a sufficient condition that an optimal time exists for preventive service.

Keywords

Semi-Markov model

Preventive maintenance

Limiting probabilities of state

Optimization

11.1 Introduction

We can determine preventive maintenance as maintenance of devices, machines, or systems before a failure occurs. The main goal of maintenance is to avoid or to mitigate the consequences of an object failure. Very often, ...

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