Multi-Criteria Decision Model for Imperfect Maintenance using Multi-Attribute Utility Theory

doi:10.23940/ijpe.18.12.p11.30143024

Abstract

Abstract:

Many research works have been conducted in the preventive maintenance area since maintenance strategies have become more and more significant in industry and supply chain services. However, previous studies are mainly based on age maintenance policies and other multi-criteria approaches instead of Multi-Attribute Utility Theory (MAUT). There are some studies proposed by using MAUT, but they assume that the maintenances are perfect. This paper presents an imperfect maintenance model of a one-unit system to obtain an optimal inspection interval based on MAUT. The proposed model is designed to identify the systems’ status by making a trade-off between cost attribute and reliability attribute. By taking decision makers’ preferences into account, with the assumption of imperfect maintenance, the model receives a result of an optimal inspection interval. This model is applicable for equipment or systems that suffer graded failures and can be repaired at any time during the operation. A numerical application is given to illustrate that with consideration of decision-makers’ priorities, the model can provide new solutions for imperfect maintenance interval optimization, which is a suggestion for future research.

Key words: imperfect maintenance, optimal intervals, reliability, cost, multi-attribute utility theory

Xiao Zhao, Jianhua Yang, and Xin Shi. Multi-Criteria Decision Model for Imperfect Maintenance using Multi-Attribute Utility Theory [J]. Int J Performability Eng, 2018, 14(12): 3014-3024.

Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks

Figures/Tables 12

Table 1

Figure 1

Figure 2

Table 2

Figure 3

Figure 4

Figure 5

Figure 6

Figure 7

Figure 8

Figure 9

Figure 10

References 18

[1]	H.Z. Wang and H. Pham, “Some Maintenance Models and Availability with Imperfect Maintenance in Production Systems,” Annals of Operations Research, Vol. 91, pp. 305-318, 1999 doi: 10.1023/A:1018910109348
[2]	R.F. Yang and J. S. Kang, “Joint Optimization for Inspection and Replacement Model based on a Three-Stage Failure Process,” International Journal of System Assurance Engineering & Management, No. 8,pp. S118-S128, 2017
[3]	W. Wang , “A Stochastic Model for Joint Spare Parts Inventory and Planned Maintenance Optimization,” European Journal of Operational Research, Vol. 216, No. 1, pp. 127-139, 2012 doi: 10.1016/j.ejor.2011.07.031
[4]	W. Wang and D. Banjevic, “Ergodicity of Forward Times of the Renewal Process in a Block-based Inspection Model Using the Delay Time Concept,” Reliability Engineering & System Safety, Vol. 100, pp. 1-7, 2012 doi: 10.1016/j.ress.2011.12.011
[5]	T. Nakagawa , “Imperfect Preventive-Maintenance,” IEEE Transactions on Reliability, Vol. 28, No. 5, pp. 402-402, 1979
[6]	Z.B. Shan and H. F. Wang ., “Multi-Objective Decision making Model for Distribution System Condition-based Maintenance,” in Proceedings of China International Conference on Electricity Distribution, IEEE, 2016 doi: 10.1109/CICED.2016.7576042
[7]	X.F. Li, R. Y. He, Z. W. Yan , “A New Imperfect Maintenance Model based on Delay-Time Concepts for Single Components with Multiple Failure Modes,” International Journal of System Assurance Engineering & Management, Vol.6, No. 4, pp. 479-486, 2015 doi: 10.1007/s13198-014-0306-6
[8]	Y. Dijoux and O. Gaudoin, “Generalized Random Sign and Alert Delay Models for Imperfect Maintenance,” Lifetime Data Analysis, Vol. 20, pp. 185-209, 2014 doi: 10.1007/s10985-013-9249-5 pmid: 23460491
[9]	A. Gouiaa-Mtibaa, S. Dellagi, Z. Achour, W. Erray , “Integrated Maintenance-Quality Policy with Rework Process under Improved Imperfect Preventive Maintenance,” Reliability Engineering and System Safety, Vol. 173, pp. 1-11, 2018 doi: 10.1016/j.ress.2017.12.020
[10]	S. Mercier and I. T. Castro, “Stochastic Comparisons of Imperfect Maintenance Models for a Gamma Deteriorating System,” European Journal of Operational Research, Vol. 273, No. 1, pp. 237-248, 2019 doi: 10.1016/j.ejor.2018.06.020
[11]	R. F. Yang, Z. W. Yan, J. S. Kang , “An Inspection Maintenance Model based on a Three-stage Failure Process with Imperfect Maintenance via Monte Carlo Simulation,” International Journal of System Assurance Engineering & Management, Vol.6, No. 3, pp. 231-237, 2015 doi: 10.1007/s13198-014-0292-8
[12]	E. M. P. Hidalgo and G.F.M. Souza. , “A Multi-Criteria Decision Model to Determine Intervals of Preventive Maintenance with Equipment Reliability Degradation Due to Imperfect Maintenance,” CRC Press-Taylor & Francis Group, 2014
[13]	A. Sanchez and S. D. Carlos, “Addressing Imperfect Maintenance Modelling Uncertainty in Unavailability and Cost based Optimization,” Reliability Engineering & System Safety, Vol. 94, pp. 22-32, 2009 doi: 10.1016/j.ress.2007.03.022
[14]	R.L. Keeney and H. Raiffa , “Decisions with Multiple Objectives: Preferences and Value Trade-offs,” Cambridge university press, Cambridge, 1993
[15]	A. T. Almeida , “Multicriteria Model for Selection of Preventive Maintenance Intervals,” Quality & Reliability Engineering International,Vol. 28, pp. 585-593, 2012 doi: 10.1002/qre.1415
[16]	A. H.S. Garmabaki, A. Ahmadi, and M. Ahmadi, “Maintenance Optimization Using Multi-Attribute Utility Theory,” Current Trends in Reliability, Availability, Maintainability and Safety, Lecture Notes in Mechanical Engineering, Springer, Cham, pp. 13-37, 2016 doi: 10.1007/978-3-319-23597-4_2
[17]	H. Wang and H. Pham, “Optimal Preparedness Maintenance of Multi-Unit Systems with Imperfect Maintenance and Economic Dependence,” Reliability and Optimal Maintenance, pp. 135-150, 2006 doi: 10.1142/9789812811868_0006
[18]	S. J.T. Jansen, “The Multi-Attribute Utility Method,” Measurement & Analysis of Housing Preference & Choice, pp. 101-125, 2011 doi: 10.1007/978-90-481-8894-9_5

$\alpha $	2
$\lambda $	1
${{c}_{p}}$	600
${{c}_{f}}$	3000
$q$	0.95