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Availability Analysis of a System with Preventive Maintenance

예방 관리 기능을 갖는 시스템의 가용도 분석

  • Lee, Yutae (Department of Information and Communications Engineering, Dong-eui University)
  • Received : 2019.05.19
  • Accepted : 2019.06.04
  • Published : 2019.07.31

Abstract

Performing preventive maintenance on a system reduces unexpected downtime caused by system aging and increases its availability. In general, preventive maintenance can be largely divided into two broad categories: time-based maintenance policy and condition-based maintenance policy. In the time-based maintenance policy the preventive maintenance is triggered at scheduled time epochs with fixed time intervals, while in the condition-based maintenance policy the preventive maintenance is performed when system state is checked to satisfy a specific condition. Condition-based maintenance has some benefits in improving maintenance efficiency, compared to time-based one. This paper presents a stochastic model for analyzing a system with condition-based preventive maintenance, where the preventive maintenance is performed after a random time since the system aging occurs, and provides an analytical solution for the steady-state availability and the corresponding profit.

노화에 의한 시스템의 예기치 않은 장애 발생은 예방 관리 기능을 수행함으로써 줄일 수 있으며, 이를 통해 시스템의 가용도를 높일 수 있다. 예방 관리 기법은 크게 시간 기반과 조건 기반의 두 가지로 나눌 수 있다. 시간 기반 방식은 정해진 시간 간격마다 수행되고, 조건 기반 방식은 시스템 상태가 특정 조건을 만족할 때 수행된다. 조건 기반 방식은 시간 기반 방식과 비교했을 때 예방 관리의 효율성을 향상시킬 수 있다는 장점이 있다. 본 논문은 노화 상태에서 일정 시간이 지난 후 예방 관리를 수행하게 되는 시스템을 분석할 수 있는 확률 모형을 제시한다. 제시한 모형은 현실적인 상황을 반영하여 비 마르코비안 모형으로 모델링한다. 해당 확률 모형을 수학적으로 해석하여 정상 상태에서의 시스템 가용도와 수익을 분석한다.

Keywords

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Fig. 1 State transition diagram

Table. 1 Parameter values

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Table. 2 Steady-state availability

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Table. 3 Profit

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