Availability modeling for periodically inspection system with different lifetime and repair-time distribution

Abstract Availability is a main feature of design and operation of all engineering system. Recently, availability evaluation of periodical inspection systems with different structures is at the center of attention due to the wide application in engineering. In this paper, an analytical and probabilistic availability model for periodical inspection system is proposed by a new recursively algorithm, which can achieve limiting average availability and instantaneous availability of periodical inspection system under arbitrary lifetime and repair-time distributions. Then three application examples are presented, the systems lifetime and repair-time are respectively fellow exponential/exponential, Weibull/normal and Weibull/lognormal distribution. Finally, a Weibull/lognormal system is studied to analyze the dynamic relationship between inspection period and availability. The results indicate that the proposed approach can provide the technology support for improving system availability and determining reasonable inspection period.

[1]  Yu Zhao,et al.  Hybrid preventive maintenance of competing failures under random environment , 2018, Reliab. Eng. Syst. Saf..

[2]  Rui Peng,et al.  A preventive maintenance policy based on dependent two-stage deterioration and external shocks , 2017, Reliab. Eng. Syst. Saf..

[3]  Christophe Letot,et al.  Optimum failure management strategy for periodically inspected units with imperfect maintenance , 2016 .

[4]  S. C. Choube,et al.  Inspection–Repair based Availability Optimization of Distribution Systems using Teaching Learning based Optimization , 2016 .

[5]  Jyotirmoy Sarkar,et al.  Availability of a periodically inspected system supported by a spare unit, under perfect repair or perfect upgrade , 2001 .

[6]  Marvin Zelen,et al.  Mathematical Theory of Reliability , 1965 .

[7]  Lirong Cui,et al.  Reliability evaluation based on a dependent two-stage failure process with competing failures , 2018, Applied Mathematical Modelling.

[8]  Lirong Cui,et al.  Optimal allocation of units in sequential probability series systems , 2018, Reliab. Eng. Syst. Saf..

[9]  Kuo-Hsiung Wang,et al.  Simulation inferences for an availability system with general repair distribution and imperfect fault coverage , 2010, Simul. Model. Pract. Theory.

[10]  Yongquan Sun.  Availability Assessment for Passenger Aircraft Subsystem with Different Lifetime and Repair-time Distribution , 2014 .

[11]  Jyotirmoy Sarkar,et al.  Availability of a system with gamma life and exponential repair time under a perfect repair policy , 1999 .

[12]  Jyotirmoy Sarkar,et al.  Availability of a periodically inspected system under perfect repair , 2000 .

[13]  Yeu-Shiang Huang,et al.  Non-periodic preventive maintenance with reliability thresholds for complex repairable systems , 2015, Reliab. Eng. Syst. Saf..

[14]  Yu Zhao,et al.  Opportunistic maintenance of production systems subject to random wait time and multiple control limits , 2018 .

[15]  Lirong Cui,et al.  Availability and maintenance modelling for systems subject to multiple failure modes , 2017, Comput. Ind. Eng..

[16]  Xinhong Hei,et al.  Modeling and optimizing periodically inspected software rejuvenation policy based on geometric sequences , 2015, Reliab. Eng. Syst. Saf..