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Reliability analysis of lifetime systems based on Weibull distribution | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 26، دوره 15، شماره 1، فروردین 2024، صفحه 321-329 اصل مقاله (523.81 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.31309.4609 | ||
| نویسندگان | ||
| Mohammadreza Shahriari1؛ Hooman Shahrasbi* 2؛ Arash Zaretalab3 | ||
| 1Faculty of Industrial Management, South Tehran Branch, Islamic Azad University, Tehran, Iran | ||
| 2Department of Economics, Management, industrial Engineering and Tourism, University of Aveiro, Aveiro, Portugal | ||
| 3Department of Business Management, Shahr-e-Qods Branch, Islamic Azad University, Tehran, Iran | ||
| تاریخ دریافت: 28 تیر 1402، تاریخ بازنگری: 07 مرداد 1402، تاریخ پذیرش: 14 دی 1402 | ||
| چکیده | ||
| Reliability analysis is crucial for understanding the performance and failure characteristics of lifetime systems. This paper presents a comprehensive study on the reliability analysis of lifetime systems using the Weibull distribution. The Weibull distribution, known for its flexibility in modeling failure times, provides a versatile framework for capturing diverse failure behaviors. A useful model for redundancy systems is proposed in this paper. The model consists of $(n+1)$ components, where n components serve as spare parts for the main component. The failure rate of the working component is time-dependent, denoted as $\lambda (t)$, while the failure rates of the non-working components are assumed to be zero. Whenever a component fails, one of the spare parts immediately takes over its role. The failed components in this model are considered non-repairable. To analyze this model, we establish the differential equations that describe the system states. By solving these equations, we calculate important parameters such as system reliability and mean time to failure (MTTF) in real-time scenarios. These parameters provide valuable insights into the performance and behavior of the system under study. By employing the Weibull distribution and the proposed model, this paper contributes to enhancing the understanding of reliability analysis in lifetime systems and enables the estimation of important reliability parameters for practical applications. | ||
| کلیدواژهها | ||
| Reliability؛ Markov chain؛ Redundancy؛ Weibull distribution | ||
| مراجع | ||
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[1] G. Arulmozhi, Exact equation and an algorithm for reliability evaluation of k-out-of-n: G system, Reliabil. Engin. Syst. Safety 78 (2002), 87–91. [2] G. Arulmozhi, Direct method for reliability computation of k-out-of-n: G systems, Appl. Math. Comput. 143 (2003), 421–429. [3] P.J. Boland and S. Papastavridis, Consecutive k-out-of-n: F systems with cycle k, Statist. Probab. Lett. 44 (1999), 155–160. [4] Z. Chen, Component reliability analysis of k-out-of-n systems with censored data, J. Statist. Plann. Infer. 116 (2003), 305–315. [5] L. Cui, The IFR property for consecutive k-out-of-n: F systems, Statist. Probab. Lett. 59 (2002), 405–414. [6] V. da Costa Bueno, Minimal standby redundancy allocation in a k-out-of-n: F system of dependent components, Eur. J. Oper. Res. 165 (2005), 786–793. [7] K.D. de Smith-Destombes, M.C. van der Heijden and A. van Harten, On the reliability of k-out-of-n system given limited spares and repair capacity under a condition-based maintenance strategy, Reliabil. Engin. Syst. Safety 83 (2004), 287–300. [8] Y. Dutuit and A. Rauzy, New insights into the assessment of k-out-of-n and related systems, Reliabil. Engin. Syst. Safety 72 (2001), 303–314. [9] J. Flynn and C.S. Chung, A heuristic algorithm for determining replacement policies in consecutive k-out-of-n systems, Comput. Oper. Res. 31 (2004), 1335–1348. [10] A.E. Gera, A consecutive k-out-of-n system with dependent elements – A matrix formulation and solution, Reliabil. Engin. Syst. Safety 68 (2000), 61–67. [11] J. Guan and Y. Wu, Repairable consecutive k-out-of-n: F system with fuzzy states, Fuzzy Sets Syst. 157 (2006), 121–142. [12] R.C. Gupta, Reliability of a k-out-of-n system of components sharing a common environment, Appl. Math. Lett. 15 (2002), 837–844. [13] Y.C. Hsieh and T.C. Chen, Reliability lower bounds for two-dimensional consecutive k-out-of-n: F systems, Comput. Oper. Res. 31 (2004), 1259–1272. [14] J. Huang and M.J. Zuo, Multi-state k-out-of-n system models and its application, Proc. Ann. Reliabil. Maintainabil. Symp., 2000, Cat. no. 00CH37055, pp. 264–268. [15] A. Jalali, A.G. Hawkes, L.R. Cui, and F.K. Hwang, The optimal consecutive k-out-of-n:G line for n ≤ 2k, J. Statistic. Plann. Infer. 128 (2005), 281–287. [16] K. Jenab and B.S. Dhillon, Assessment of reversible multi-state k-out-of-n: G/F/Load sharing systems with flowgraph models, Reliabil. Engin. Syst. Safety 91 (2006), 765–771. [17] M. Koucky, Exact reliability formula and bounds for general k-out-of-n systems, Reliabil. Engin. Syst. Safety 82 (2003), 229–231. [18] A. Krishnamoorthy and P.V. Ushakumarti, K-out-of-n: G system with repair: The D-policy, Comput. Oper. Res. 28 (2001), 973–981. [19] Y. Lam and K.H.T. NG, A general model for consecutive k-out-of-n: F repairable system with exponential distribution and (k-1) - step Markov dependence, Eur. J. Ope. Res. 129 (2001), 663–682. [20] X. Li, M.J. Zuo, and R.C.M. Yam, Reliability analysis of a repairable k-out-of-n system with some component being suspended when the system is down, Reliabil. Engin. Syst. Safety 91 (2006), 305–310. [21] B. Milczek, On the class of limit reliability functions of homogeneous series-”k-out-of-n” systems, Appl. Math. Comput. 137 (2003), 161–176. [22] M.S. Moustafa, Availability of k-out-of-n: G system with M failure models, Microelect. Reliabil. 36 (1996), 385–389. [23] H. Pant, S.B. Singh, S. Pant, and N. Chantola, Availability analysis and inspection optimisation for a competing risk k-out-of-n: G system, Int. J. Reliabil. Safety 14 (2020), no. 2–3, 168–181. [24] A.M. Sarhan and A.M. Abouammoh, Reliability of k-out-of-n nonrepairable system with no independent components subject to common shocks, Microelect. Reliabil. 41 (2001), 617–621. [25] M. Shahriari, Using genetic algorithm to optimize a system with repairable components and multi-vacations for repairmen, Int. J. Nonlinear Anal. Appl. 13 (2022), no. 2, 3139–3144. [26] M. Shahriari, Using a hybrid NSGA-II to solve the redundancy allocation M model of series-parallel systems, Int. J. Ind. Math. 14 (2022), no. 4, 503–513. [27] M. Shahriari, Redundancy allocation optimization based on the fuzzy universal generating function approach in the series-parallel systems, Int. J. Ind. Math. 15 (2023), no. 1, 69–77. [28] M. Sharifi, G. Cheragh, K. Dashti Maljaii, A. Zaretalab, and M. Shahriari, Reliability and cost optimization of a system with k-out-of-n configuration and choice of decreasing the components failure rates, Sci. Iranica 28 (2021), no. 6, 3602–3616. [29] M. Sharifi, T.A. Moghaddam and M. Shahriari, Multi-objective redundancy allocation problem with weighted-kout-of-n subsystems, Heliyon 5 (2019), no. 12. [30] M. Sharifi, P. Pourkarim Guilani, and M. Shahriari, Using NSGA II algorithm for a three objectives redundancy allocation problem with k-out-of-n sub-systems, J. Optim. Ind. Eng. 9 (2016), no. 19, 87–96. [31] M. Sharifi, M. Saadvandi, and M.R. Shahriari, Presenting a series-parallel redundancy allocation problem with multi-state components using recursive algorithm and meta-heuristic, Sci. Iranica 27 (2020), no. 2, 970–982. [32] M. Sharifi, M. Shahriyari, A. Khajehpoor, and S.A. Mirtaheri, Reliability optimization of a k-out-of-n series-parallel system with warm standby components, Sci. Iranica 29 (2022), no. 6, 3523–3541. [33] V.V. Singh, A.I. Mohhammad, K.H. Ibrahim, and I. Yusuf, Performance assessment of the complex repairable system with n-identical units under (k-out-of-n: G) scheme and copula linguistic repair approach, Int. J. Qual. Reliabil. Manag. 39 (2022), no. 2, 367–386. [34] X. Wang, X. Zhao, C. Wu, and S. Wang, Mixed shock model for multi-state weighted k-out-of-n: F systems with degraded resistance against shocks, Reliabil. Eng. Syst. Safety 217 (2022), 108098. [35] R.C. Yam, M.J. Zuo and Y.L. Zhang, A method for evaluating of reliability indices for repairable circular consecutive k-out-of-n: F systems, Reliabil. Engin. Syst. Safety 79 (2003), 1–9. [36] X. Zhao, C. Wu, X. Wang, and J. Sun, Reliability analysis of k-out-of-n: F balanced systems with multiple functional sectors, Appl. Math. Model. 82 (2020), 108–124. | ||
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