Semi-Markov Processes

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, ...