Optimal Inspection and Replacement Strategy for Systems Subject to Two Types of Failures with Adjustable Inspection Intervals

doi:10.1007/s12204-017-1896-3

Abstract

Abstract: The inspection activities are often carried out to detect possible indication of failures in plant systems. This paper considers a single unit system subject to two types of failures, where one failure mode is the traditional 0-1 logic failure and the other failure mode is described by a two-stage failure process. Adjustable inspections are used to detect the defective stage of the latter. We assume that the inspection duration gets shorter and shorter with a constant ratio. At the same time, preventive replacement is used to avoid the possible failure due to the former failure mode. The renewal process of this system is analyzed and the expected long-run cost per unit time (ELRCUT) is derived. The optimal inspection period and the preventive replacement interval to minimize ELRCUT are studied. At last, a numerical example is presented to illustrate the proposed model.

Key words: inspection| delay-time| preventive replacement| two-stage failure process

摘要： The inspection activities are often carried out to detect possible indication of failures in plant systems. This paper considers a single unit system subject to two types of failures, where one failure mode is the traditional 0-1 logic failure and the other failure mode is described by a two-stage failure process. Adjustable inspections are used to detect the defective stage of the latter. We assume that the inspection duration gets shorter and shorter with a constant ratio. At the same time, preventive replacement is used to avoid the possible failure due to the former failure mode. The renewal process of this system is analyzed and the expected long-run cost per unit time (ELRCUT) is derived. The optimal inspection period and the preventive replacement interval to minimize ELRCUT are studied. At last, a numerical example is presented to illustrate the proposed model.

关键词: inspection| delay-time| preventive replacement| two-stage failure process

CLC Number:

C 931

MA Xiaoyang1* (马晓洋), WANG Wenbin1,2 (王文彬), LIU Xuejuan1 (刘学娟), PENG Rui1 (彭锐). Optimal Inspection and Replacement Strategy for Systems Subject to Two Types of Failures with Adjustable Inspection Intervals[J]. Journal of Shanghai Jiao Tong University (Science), 2017, 22(6): 752-755.

References 14

[1]	CHRISTER A H, WALLER W M. Delay time modelsof industrial inspection maintenance problems [J].Journal of the Operational Research Society, 1984,35(5): 401-406.
[2]	CHRISTER A H . Developments in delay time analysisfor modelling plant maintenance [J]. Journal ofthe Operational Research Society, 1999, 50(11): 1120-1137.
[3]	WANG W B. An overview of the recent advances indelay-time-based maintenance modelling [J]. ReliabilityEngineering and System Safety, 2012, 106(5): 165-178.
[4]	WANG W B. An inspection model based on a threestagefailure process [J]. Reliability Engineering andSystem Safety, 2011, 96(7): 838-848.
[5]	CUI L R, XIE M, LOH H T. Inspection schemes forgeneral systems [J]. IIE Transactions, 2004, 36(9):817-825.
[6]	TAGHIPOUR S, BANJEVIC D, JARDINE A K S.Periodic inspection optimization model for a complexrepairable system [J]. Reliability Engineering and SystemSafety, 2010, 95(9): 944-952.
[7]	GOLMAKANI H R, MOAKEDI H. Periodic inspectionoptimization model for a two-component repairablesystem with failure interaction [J]. Computers& Industrial Engineering, 2012, 63(3): 540-545.
[8]	MENDES A A, COIT D W, RIBEIRO J L D. Establishmentof the optimal time interval between periodicinspections for redundant systems [J]. Reliability Engineeringand System Safety, 2014, 131(3): 148-165.
[9]	CASTANIER B, GRALL A, B′ERENGUER C. A condition-based maintenance policy with non-periodicinspections for a two-unit series system [J]. Reliabilit Engineering and System Safety, 2005, 87(1): 109-120.
[10]	GOLMAKANI H R, MOAKEDI H. Optimal nonperiodicinspection scheme for a multicomponent repairablesystem with failure interaction using A*search algorithm [J]. The International Journal of AdvancedManufacturing Technology, 2013, 67(5/6/7/8):1325-1336.
[11]	DIEULLE L, B′ERENGUER C, GRALL A, et al. Sequentialcondition-based maintenance scheduling for adeteriorating system [J]. European Journal of OperationalResearch, 2003, 150(2): 451-461.
[12]	NAKAGAWA T,MIZUTANI S, CHEN M. A summaryof periodic and random inspection policies [J]. ReliabilityEngineering and System Safety, 2010, 95(8): 906-911.
[13]	ZHAO X, NAKAGAWA T. Optimal periodic and randominspections with first, last and overtime policies[J]. International Journal of Systems Science, 2013,46(9): 1648-1660.
[14]	AVEN T, CASTRO I T. A delay-time model with safety constraint [J]. Reliability Engineering and System Safety, 2009, 94(2): 261-267.