Generalized periodic replacement policies for repairable systems subject to two types of failures

Author:

Li Qi,Dong WenjieORCID,Liu Sifeng,Fang Zhigeng

Abstract

The purpose of this current research is to schedule generalized periodic replacement policies for a single unit system executing random working jobs. The system is subject to two types of failures when it has failed, including a minor failure (Type I failure), which can be thoroughly removed by the minimal repair and a catastrophic failure (Type II failure), which should be rectified by the corrective replacement. To be specific, four distinct periodic replacement models including a periodic replacement first model (Model A1), a modified periodic replacement first model (Model A2), a periodic replacement last model (Model B1), and a modified periodic replacement last model (Model B2) are investigated. The long run average cost rate (ACR) over an infinite time span under different situations is obtained theoretically and optimal periodic replacement interval for each condition is derived analytically. Numerical examples are exhibited to verify the derived results.

Funder

National Natural Science Foundation of China

the Talent Research Start-up Fund at Nanjing University of Aeronautics and Astronautics

Publisher

EDP Sciences

Subject

Management Science and Operations Research,Computer Science Applications,Theoretical Computer Science

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