Abstract
In this paper, we present a new reliability model and a unique condition-based maintenance model for complex systems with dependent components subject to respective degradation processes, and the dependence among components is established through environmental factors. Common environmental factors, such as temperature, can create the dependence in failure times of different degrading components in a complex system. The system under study consists of one dominant/independent component and n statistically dependent components that are all subject to degradation. We consider two aspects that link the degradation processes and environmental factors: the degradation of dominant/independent component is not affected by the state of other components, but may influence environmental factors, such as temperature; and the n dependent components degrade over time and their degradation rates are impacted by the environmental factors. Based on the thermodynamic study of the relationship between degradation and environmental temperature, we develop a reliability model to mathematically account for the dependence in multiple components for such a system. Considering the unique dependent relationship among components, a novel condition-based maintenance model is developed to minimize the long run expected cost rate. A numerical example is studied to demonstrate our models, and sensitivity analysis is conducted to test the impact of parameters on the models.
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Barata J, Soares CG, Marseguerra M, Zio E (2002) Simulation modelling of repairable multi-component deteriorating systems for ‘on condition’ maintenance optimisation. Reliab Eng Syst Saf 76:255–264
Huq MZ, Celis JP (2002) Expressing wear rate in sliding contacts based on dissipated energy. Wear 252:375–383
Lu CJ, Meeker WQ (1993) Using degradation measures to estimate a time-to-failure distribution. Technometrics 35:161–174
Kharoufeh JP, Cox SM (2005) Stochastic models for degradation-based reliability. IIE Trans 37:533–542
Park C, Padgett WJ (2006) Stochastic degradation models with several accelerating variables. IEEE Trans Reliab 55:379–390
Peng H, Feng Q, Coit DW (2009) Simultaneous quality and reliability optimization for microengines subject to degradation. IEEE Trans Reliab 58:98–105
Klutke GA, Yang YJ (2002) The availability of inspected systems subject to shocks and graceful degradation. IEEE Trans Reliab 51:371–374
Li WJ, Pham H (2005) Reliability modeling of multi-state degraded systems with multi-competing failures and random shocks. IEEE Trans Reliab 54:297–303
Z. L. Wang, L. Du and H. Z. Huang (2008) Reliability modeling for dependent competitive failure processes. In: Annual Reliability and Maintainability Symposium Proceedings, pp. 279–283
Peng H, Feng Q, Coit DW (2011) Reliability and maintenance modeling for systems subject to multiple dependent competing failure processes. IIE Trans 43:12–22
Jiang L, Feng Q, Coit DW (2011) Reliability analysis for dependent failure processes and dependent failure thresholds. Proceedings of International Conference on Quality, Reliability, Risk, Maintenance and Safety Engineering, Xi’an
Jiang L, Feng Q, Coit DW (2012) Reliability and maintenance modeling for dependent competing failure processes with shifting failure thresholds. IEEE Trans Reliab 61:932–948
Rafiee K, Feng Q, Coit DW (2014) Reliability modeling for dependent competing failure processes with changing degradation rate. IIE Trans 46:483–496
Song S, Coit DW, Feng Q, Peng H (2014) Reliability analysis for multiple-component systems subject to multiple dependent competing failure processes. IEEE Trans Reliab 63:331–345
Schottl A (1996) A reliability model of a system with dependent components. IEEE Trans Reliab 45:267
Coit DW, English JR (1999) System reliability modeling considering the dependence of component environmental influences. International Symposium on Product Quality and Integrity - Managing Uncertainty, Washington D.C., pp 214–218
Zhang TL, Horigome M (2001) Availability and reliability of system with dependent components and time-varying failure and repair rates. IEEE Trans Reliab 50:151–158
Kotz S, Lai CD, Xie M (2003) On the effect of redundancy for systems with dependent components. IIE Trans 35:1103–1110
Burkschat M (2009) Systems with failure-dependent lifetimes of components. J Appl Probab 46:1052–1072
Thomas LC (1986) A survey of maintenance and replacement models for maintainability and reliability of multi-item systems. Reliab Eng 16:297–309
Wang HZ (2002) A survey of maintenance policies of deteriorating systems. Eur J Oper Res 139:469–489
Cho DI, Parlar M (1991) A survey of maintenance models for multiunit systems. Eur J Oper Res 51:1–23
Dekker R, Wildeman RE, Schouten F (1997) A review of multi-component maintenance models with economic dependence. Math Meth Oper Res 45:411–435
Tian ZG, Liao HT (2011) Condition based maintenance optimization for multi-component systems using proportional hazards model. Reliab Eng Syst Saf 96:581–589
Castanier B, Grall A, Berenguer C (2005) A condition-based maintenance policy with non-periodic inspections for a two-unit series system. Reliab Eng Syst Saf 87:109–120
Laggoune R, Chateauneuf A, Aissani D (2009) Opportunistic policy for optimal preventive maintenance of a multi-component system in continuous operating units. Comput Chem Eng 33:1499–1510
Jiang L, Feng Q, Coit DW (2012) Reliability analysis of systems with dependent degrading components based on thermodynamic physics-of-failure analysis. Proceedings of Industrial and Systems Engineering Research Conference, Orlando
Bryant MD, Khonsari MM, Ling FF (2008) On the thermodynamics of degradation. Proc R Soc Math Phys Eng Sci 464:2001–2014
Ramalho A, Miranda JC (2006) The relationship between wear and dissipated energy in sliding systems. Wear 260:361–367
Amiri M, Khonsari MM, Brahmeshwarkar S (2010) On the relationship between wear and thermal response in sliding systems. Tribol Lett 38:147–154
Tencer M, Moss JS, Zapach T (2004) Arrhenius average temperature: the effective temperature for non-fatigue wearout and long term reliability in variable thermal conditions and climates. IEEE Trans Compon Packag Technol 27:602–607
Kuehl RW (2009) Stability of thin film resistors—prediction and differences base on time-dependent Arrhenius law. Microelectron Reliab 49:51–58
D. M. Tanner, and M. T. Dugger (2003) Wear mechanisms in a reliability methodology. In: R. Ramesham, D. M. Tanner (Eds.), Reliability, testing, and characterization of MEMS/MOEMS II 4980, 22–40
T. Lee, K. Watson, F. Chen, J. Gill, D. Harmon, T. Sullivan et al. (2004) Characterization and reliability of TaN thin film resistors. 2004 I.E. International Reliability Physics Symposium Proceedings 502–508
Alsem DH, Dugger MT, Stach EA, Ritchie RO (2008) Micron-scale friction and sliding wear of polycrystalline silicon thin structural films in ambient air. J Microelectromech Syst 17:1144–1154
D. M. Tanner, N. F. Smith, L. W. Irwin, W. P. Eaton, K. S. Helgesen, J. J. Clement, W. M. Miller, J. A.Walraven, K. A. Peterson, P. Tangyunyong, M. T. Dugger, and S. L. Miller (2000). MEMS reliability: infrastructure, test structures, experiments, and failure modes, Sandia National Laboratories, report, SAND2000-0091, unlimited release
Bartholomew DJ (1963) Approximate solution of integral-equation of renewal theory. J R Stat Soc Ser B-Stat Methodol 25:432
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Feng, Q., Jiang, L. & Coit, D.W. Reliability analysis and condition-based maintenance of systems with dependent degrading components based on thermodynamic physics-of-failure. Int J Adv Manuf Technol 86, 913–923 (2016). https://doi.org/10.1007/s00170-015-8220-x
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DOI: https://doi.org/10.1007/s00170-015-8220-x