Managing Component Degradation in Series Systems for Balancing Degradation through Reallocation and Maintenance
Open accessAbstract
In a physical system, components are usually installed in fixed positions that are known as operating slots. Due to such reasons as user behavior and imbalanced workload, a component’s degradation can be affected by the corresponding installation position in the system. As a result, components degradation levels can be significantly different even when the components come from a homogeneous population. Dynamic reallocation of the components among the installation positions is a feasible way to balance the extent of the degradation, and hence, extend the time from system installation to its replacement. In this study, we quantify the benefit of incorporating reallocation into the condition-based maintenance framework for series systems. The degradation of components in the system is modeled as a multivariate Wiener process, where the correlation between the degradation is considered. Under the periodic inspection framework, the optimal control limits for reallocation and preventive replacement are investigated. We first propose a reallocation policy of two-component systems, where the degradation process with reallocation and replacement is formulated as a semi-regenerative process. Then the long-run average operational cost is computed based on the stationary distribution of its embedded Markov chain. We then generalize the model to general series systems and use Monte Carlo simulations to approximate the maintenance cost. The optimal thresholds for reallocation and replacement are obtained from a stochastic response surface method using a stochastic kriging model. We further generalize the model to the scenario of an unknown degradation rate associated with each slot. The proposed model is applied to the tire system of a car and the battery system of hybrid-electric vehicles, where we show that the reallocation policy is capable of significantly reducing the system’s long-run average operational cost.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Preventive maintenance is an effective practice for reducing the sensor failure rate.
“Furthermore, preventive maintenance is an effective practice for reducing the sensor failure rate [46]”
From Sensor-Based Prognostic Health Management of Advanced Driver Assistance System for Autonomous Vehicles: A Recent Survey (2022) · cites this paper as [46]
The supplementary Tire System section discusses preventive-maintenance costs and replacement policies for tires, while the Battery System section compares maintenance costs for vehicle batteries. Searches for “sensor failure rate” and for preventive maintenance reducing failures found no passage addressing sensor failure rates. The available passages therefore do not verify the attributed claim. (LLM, conf=0.76)
Experimental — accuracy not yet measured
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
Introduction to Probability Models.
JOLLIFFE, F. R., & Ross, S. M. (1995) · Journal of the Royal Statistical Society Series A (Statistics in Society) · doi:10.2307/2983433 · Cited by 4,584 · see citing works
Applied Probability and Queues.
Dave, U., & Asmussen, S. (1987) · Journal of the Operational Research Society · doi:10.2307/2582239 · Cited by 2,735 · see citing works
Petersen, K. B., & Pedersen, M. S. (2012) · doi:10.5281/zenodo.8002926 · Cited by 1,508 · see citing works
Analysis of Generalized Pattern Searches
Audet, C., & Dennis, J. E. (2002) · SIAM Journal on Optimization · doi:10.1137/s1052623400378742 · Cited by 1,039 · see citing works
Handbook of Integral Equations
Polyanin, A. D. (1998) · CRC Press eBooks · doi:10.1201/9781420050066 · Cited by 889 · see citing works
Handbook of Integral Equations
Polyanin, P., & Manzhirov, A. V. (2008) · Chapman & Hall/CRC eBooks · doi:10.1201/9781420010558 · Cited by 680 · see citing works
Introduction to Probability Models
(2014) · Elsevier eBooks · doi:10.1016/b978-0-12-407948-9.00013-x · Cited by 656 · see citing works
Stochastic Kriging for Simulation Metamodeling
Ankenman, B. E., Nelson, B. L., & Staum, J. C. (2009) · Operations Research · doi:10.1287/opre.1090.0754 · Cited by 636 · see citing works
IEEE Transactions on Industrial Informatics
(2023) · IEEE Transactions on Industrial Informatics · doi:10.1109/tii.9424 · Cited by 615 · see citing works
A Stochastic Radial Basis Function Method for the Global Optimization of Expensive Functions
Regis, R. G., & Shoemaker, C. A. (2007) · INFORMS journal on computing · doi:10.1287/ijoc.1060.0182 · Cited by 530 · see citing works
Wiener processes with random effects for degradation data
Wang, X. (2008) · Journal of Multivariate Analysis · doi:10.1016/j.jmva.2008.12.007 · Cited by 395 · see citing works
Maintenance of continuously monitored degrading systems
Liao, H., Elsayed, E. A., & Chan, L.-Y. (2005) · European Journal of Operational Research · doi:10.1016/j.ejor.2005.05.017 · Cited by 298 · see citing works
A condition-based maintenance policy with non-periodic inspections for a two-unit series system
Castanier, B., Grall, A., & Bérenguer, C. (2004) · Reliability Engineering & System Safety · doi:10.1016/j.ress.2004.04.013 · Cited by 283 · see citing works
Sequential condition-based maintenance scheduling for a deteriorating system
Dieulle, L., Bérenguer, C., Grall, A., et al. (2003) · European Journal of Operational Research · doi:10.1016/s0377-2217(02)00593-3 · Cited by 258 · see citing works
A dynamic predictive maintenance policy for complex multi-component systems
Horenbeek, A. V., & Pintelon, L. M. (2013) · Reliability Engineering & System Safety · doi:10.1016/j.ress.2013.02.029 · Cited by 257 · see citing works
An Inspection-Maintenance Model for Systems With Multiple Competing Processes
Li, W., & Pham, H. (2005) · IEEE Transactions on Reliability · doi:10.1109/tr.2005.847264 · Cited by 204 · see citing works
Elwany, A. H., Gebraeel, N., & Maillart, L. M. (2011) · Operations Research · doi:10.1287/opre.1110.0912 · Cited by 173 · see citing works
Tire-Road Friction-Coefficient Estimation
Rajamani, R., Piyabongkarn, N., Lew, J. Y., et al. (2010) · IEEE Control Systems · doi:10.1109/mcs.2010.937006 · Cited by 171 · see citing works
Condition-based maintenance for continuously monitored degrading systems with multiple failure modes
Liu, X., Li, J., Al‐Khalifa, K. N., et al. (2013) · IIE Transactions · doi:10.1080/0740817x.2012.690930 · Cited by 170 · see citing works
Hybrid preventive maintenance of competing failures under random environment
Yang, L., Zhao, Y., Peng, R., et al. (2018) · Reliability Engineering & System Safety · doi:10.1016/j.ress.2018.02.017 · Cited by 169 · see citing works
Failure inference from a marker process based on a bivariate Wiener model.
Whitmore, G. A., Crowder, M. J., & Lawless, J. F. (1998) · Lifetime Data Analysis · doi:10.1023/a:1009617814586 · Cited by 164 · see citing works
Optimal non-periodic inspection for a multivariate degradation model
Barker, C. T., & Newby, M. J. (2007) · Reliability Engineering & System Safety · doi:10.1016/j.ress.2007.03.015 · Cited by 155 · see citing works
Designing Mission Abort Strategies Based on Early-Warning Information: Application to UAV
Yang, L., Sun, Q., & Ye, Z. (2019) · IEEE Transactions on Industrial Informatics · doi:10.1109/tii.2019.2912427 · Cited by 141 · see citing works
Self-citationOptimal Inspection and Replacement Policies for Multi-Unit Systems Subject to Degradation
Sun, Q., Ye, Z., & Chen, N. (2017) · IEEE Transactions on Reliability · doi:10.1109/tr.2017.2778283 · Cited by 134 · see citing works
Self-citationCondition based maintenance in the context of opportunistic maintenance
Koochaki, J., Bokhorst, J. A. C., Wortmann, J. C., et al. (2012) · International Journal of Production Research · doi:10.1080/00207543.2011.636924 · Cited by 125 · see citing works
Huynh, K. T., Barros, A., & Bérenguer, C. (2014) · IEEE Transactions on Reliability · doi:10.1109/tr.2014.2337791 · Cited by 117 · see citing works
Joint Optimization of Sampling and Control of Partially Observable Failing Systems
Kim, M. J., & Makiš, V. (2013) · Operations Research · doi:10.1287/opre.2013.1171 · Cited by 111 · see citing works
Clustering condition-based maintenance for systems with redundancy and economic dependencies
Keizer, M. C. A. O., Teunter, R. H., & Veldman, J. (2015) · European Journal of Operational Research · doi:10.1016/j.ejor.2015.11.008 · Cited by 108 · see citing works
Yildirim, M., Gebraeel, N., & Sun, X. A. (2017) · IEEE Transactions on Power Systems · doi:10.1109/tpwrs.2017.2666722 · Cited by 103 · see citing works
Condition-Based Production Planning: Adjusting Production Rates to Balance Output and Failure Risk
Broek, M. A. J. U. H., Teunter, R. H., de Jonge, B., et al. (2019) · Manufacturing & Service Operations Management · doi:10.1287/msom.2019.0773 · Cited by 86 · see citing works
An Extended Periodic Imperfect Preventive Maintenance Model With Age-Dependent Failure Type
Sheu, S., & Chang, C.-C. (2009) · IEEE Transactions on Reliability · doi:10.1109/tr.2009.2020103 · Cited by 77 · see citing works
A Load Sharing System Reliability Model With Managed Component Degradation
Ye, Z., Revie, M., & Walls, L. (2014) · IEEE Transactions on Reliability · doi:10.1109/tr.2014.2315965 · Cited by 74 · see citing works
Self-citationA condition based maintenance model for a two-unit series system
Barbera, F., Schneider, H., & Watson, E. (1999) · European Journal of Operational Research · doi:10.1016/s0377-2217(98)00189-1 · Cited by 67 · see citing works
Multicriteria Planning for Distributed Wind Generation Under Strategic Maintenance
Jin, T., Tian, Y. H., Zhang, C. W., & Coit, D. W. (2012) · IEEE Transactions on Power Delivery · doi:10.1109/tpwrd.2012.2222936 · Cited by 64 · see citing works
Statistical Analysis of Linear Degradation and Failure Time Data with Multiple Failure Modes
Bagdonavičius, V., Bikelis, A., & Kazakevičius, V. (2004) · Lifetime Data Analysis · doi:10.1023/b:lida.0000019256.59372.63 · Cited by 64 · see citing works
Peng, W., Shen, L., Shen, Y., et al. (2017) · Reliability Engineering & System Safety · doi:10.1016/j.ress.2017.11.016 · Cited by 51 · see citing works
Kontar, R. A., Zhou, S., Sankavaram, C., Du, X., & Zhang, Y. (2017) · Technometrics · doi:10.1080/00401706.2017.1383310 · Cited by 47 · see citing works
Statistical Modeling of Multivariate Destructive Degradation Tests With Blocking
Sun, Q., Ye, Z., & Hong, Y. (2019) · Technometrics · doi:10.1080/00401706.2019.1668855 · Cited by 47 · see citing works
Self-citationXiang, Y., Coit, D. W., & Feng, Q. (2013) · IIE Transactions · doi:10.1080/0740817x.2012.689124 · Cited by 41 · see citing works
Lin, Y.-H., Li, Y., & Zio, E. (2017) · IEEE Transactions on Industrial Informatics · doi:10.1109/tii.2017.2743820 · Cited by 39 · see citing works
Scheduling Preventive Maintenance Considering the Saturation Effect
Sun, Q., Ye, Z., & Peng, W. (2018) · IEEE Transactions on Reliability · doi:10.1109/tr.2018.2874265 · Cited by 38 · see citing works
Self-citationAge-Based Replacement Policy With Consideration of Production Wait Time
Li, P., Wang, W., & Peng, R. (2015) · IEEE Transactions on Reliability · doi:10.1109/tr.2015.2454507 · Cited by 37 · see citing works
Optimum Periodic Component Reallocation and System Replacement Maintenance
Fu, Y., Yuan, T., & Zhu, X. (2018) · IEEE Transactions on Reliability · doi:10.1109/tr.2018.2874187 · Cited by 37 · see citing works
Self-citationControlling the Residual Life Distribution of Parallel Unit Systems Through Workload Adjustment
Li, H., Liu, K., Gebraeel, N., et al. (2015) · IEEE Transactions on Automation Science and Engineering · doi:10.1109/tase.2015.2481703 · Cited by 36 · see citing works
Reliability Modeling of Infrastructure Load-Sharing Systems With Workload Adjustment
Sun, Q., Ye, Z., Revie, M., et al. (2019) · IEEE Transactions on Reliability · doi:10.1109/tr.2019.2900845 · Cited by 36 · see citing works
Self-citationOptimization of maintenance policy under parameter uncertainty using portfolio theory
Wu, S., Coolen, F. P. A., & Liu, B. (2016) · IISE Transactions · doi:10.1080/24725854.2016.1267881 · Cited by 32 · see citing works
Nelson, W. B. (2001) · Handbook of statistics · doi:10.1016/s0169-7161(01)20024-8 · Cited by 31 · see citing works
Reliability performance for dynamic multi-state repairable systems with K regimes
Shen, J., & Cui, L. (2017) · IISE Transactions · doi:10.1080/24725854.2017.1318228 · Cited by 30 · see citing works
A Degradation-Informed Battery-Swapping Policy for Fleets of Electric or Hybrid-Electric Vehicles
Almuhtady, A., Lee, S., Romeijn, H. E., Wynblatt, M. J., & Ni, J. (2014) · Transportation Science · doi:10.1287/trsc.2013.0494 · Cited by 29 · see citing works
Robust Control of Partially Observable Failing Systems
Kim, M. J. (2016) · Operations Research · doi:10.1287/opre.2016.1495 · Cited by 27 · see citing works
Discussion on “Challenges and new methods for designing reliability experiments”
Ye, Z., & Sun, Q. (2019) · Quality Engineering · doi:10.1080/08982112.2018.1545238 · Cited by 6 · see citing works
Self-citation
Flagged first, then by citations
Research works printed but not linked: 2
- Ye, K. Q., Li, W., and Sudjianto, A. (2000), "Algorithmic construction of optimal symmetric Latin hypercube designs," Journal of Statistical Planning and Inference, 90(1), 145-159.
- Zhang, L., Wang, K., and Chen, N. (2016), "Monitoring wafers geometric quality using an additive Gaussian process model," IIE Transactions, 48(1), 1-15.
Cited by
Sorted by citations
Raouf, I., Khan, A., Khalid, S., Sohail, M., Azad, M. M., & Kim, H. S. (2022) · Mathematics · doi:10.3390/math10183233 · Cited by 41 · see citing works
- Authors
- Sun, Q., Ye, Z.-S., & Zhu, X.
- Affiliations
- National University of Singapore (SG)
- University of Chinese Academy of Sciences (CN)
- Corresponding author
- Ye, Zhi-Sheng
- Venue
- IISE Transactions
- Publisher
- Informa UK Limited
- Published
- 2019-11
- Volume
- 52
- Issue
- 7
- Pages
- 797-810
- ISSN
- 2472-5854 (ISSN-L)
- 2472-5862
- OpenAlex
- W2975045438
- Cited by
- 108
- References
- 51
- Citations by year
- 2026: 8 · 2025: 15 · 2024: 12 · 2023: 25 · 2022: 16 · 2021: 17 · 2020: 15
- FWCI
- 12.51
- Type
- journal article
- Language
- en
- Open access
- green
- figshare.com
- Licence
- cc-by
- Locations
- IISE Transactions (publishedVersion)
- Figshare (submittedVersion, cc-by)
- National University of Singapore (submittedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- Figshare (cc-by)
- Funders
- National Science Foundation of Jiangsu Province (BK20180232)
- National Natural Science Foundation of China (#71571178, #71971206, #71731008)
- Topics
- Physical Sciences › Engineering › Safety, Risk, Reliability and Quality › Reliability and Maintenance Optimization
- Social Sciences › Business, Management and Accounting › Management of Technology and Innovation › Transportation Systems and Infrastructure
- Physical Sciences › Engineering › Safety, Risk, Reliability and Quality › Power System Reliability and Maintenance
- Keywords
- component degradation, series systems, condition-based maintenance, preventive replacement, periodic inspection, control limits, semi-regenerative processes, embedded Markov chain, stochastic response surface method, stochastic kriging, hybrid electric vehicle batteries
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review