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Optimization and estimation in system reliability allocation problem

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  • Modibbo, Umar Muhammad
  • Arshad, Mohd.
  • Abdalghani, Omer
  • Ali, Irfan

Abstract

Designing an optimal reliability system with a minimum cost is one of the challenging problems in engineering field over the years. Estimating the subsystem reliability and determining the optimal number of component allocation will give an insight into the adequate performance of the entire system under study. In some scenarios, if a subsystem fails, then the whole system will fail, thus posing a severe threat to the safety of engineers and personnel involved. Hence, the need to optimally determine and allocate the required number of components as well as estimating their reliability so that the system’s safety would be guaranteed. In this paper, two procedures for estimating system reliability function are proposed using the maximum likelihood estimators and uniformly minimum variance unbiased estimators. The reliability functions of some selected lifetime distributions are estimated using the proposed procedures via a simulation study. The study presents a hybrid concept of estimation and optimization theory in reliability allocation problem. The work illustrated through a case study, and an optimization technique used to determine the optimal number of components at a minimum cost. The study would be useful for decision-makers in heavy industries/complex systems to help estimate the reliability of system components, optimize the allocation and manufacturer selection problems.

Suggested Citation

  • Modibbo, Umar Muhammad & Arshad, Mohd. & Abdalghani, Omer & Ali, Irfan, 2021. "Optimization and estimation in system reliability allocation problem," Reliability Engineering and System Safety, Elsevier, vol. 212(C).
    • Handle: RePEc:eee:reensy:v:212:y:2021:i:c:s0951832021001629
    DOI: 10.1016/j.ress.2021.107620
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    as
    1. Crescenzo, Antonio Di, 2000. "Some results on the proportional reversed hazards model," Statistics & Probability Letters, Elsevier, vol. 50(4), pages 313-321, December.
    2. Ali Diabat & Jean-Philippe Richard, 2015. "An integrated supply chain problem: a nested lagrangian relaxation approach," Annals of Operations Research, Springer, vol. 229(1), pages 303-323, June.
    3. Ling, Xiaoliang & Wei, Yinzhao & Si, Shubin, 2019. "Reliability optimization of k-out-of-n system with random selection of allocative components," Reliability Engineering and System Safety, Elsevier, vol. 186(C), pages 186-193.
    4. Philip J. Boland & Frank Proschan & Y. L. Tong, 1989. "Optimal arrangement of components via pairwise rearrangements," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(6), pages 807-815, December.
    5. Ashkan Khalifeh & Eisa Mahmoudi & Ajit Chaturvedi, 2020. "Sequential fixed-accuracy confidence intervals for the stress–strength reliability parameter for the exponential distribution: two-stage sampling procedure," Computational Statistics, Springer, vol. 35(4), pages 1553-1575, December.
    6. Nabakumar Jana & Somesh Kumar & Kashinath Chatterjee, 2016. "Bayes estimation for exponential distributions with common location parameter and applications to multi-state reliability models," Journal of Applied Statistics, Taylor & Francis Journals, vol. 43(15), pages 2697-2712, November.
    7. P. M. Ghare & R. E. Taylor, 1969. "Optimal Redundancy for Reliability in Series Systems," Operations Research, INFORMS, vol. 17(5), pages 838-847, October.
    8. Tea-Yuan Hwang & Chin-Yuan Hu, 1990. "More comparisons of MLE with UMVUE for exponential families," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 42(1), pages 65-75, March.
    9. Ajit Chaturvedi & Shantanu Vyas, 2017. "Estimation and Testing procedures for the Reliability functions of Exponentiated distributions under censorings," Statistica, Department of Statistics, University of Bologna, vol. 77(1), pages 13-31.
    10. Doguc, Ozge & Ramirez-Marquez, Jose Emmanuel, 2009. "A generic method for estimating system reliability using Bayesian networks," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 542-550.
    11. Roy, Atin & Chakraborty, Subrata, 2020. "Support vector regression based metamodel by sequential adaptive sampling for reliability analysis of structures," Reliability Engineering and System Safety, Elsevier, vol. 200(C).
    12. Heydari, Mohammadhossein & Sullivan, Kelly M., 2019. "Robust allocation of testing resources in reliability growth," Reliability Engineering and System Safety, Elsevier, vol. 192(C).
    13. Robert Gordon, 1957. "Optimum Component Redundancy for Maximum System Reliability," Operations Research, INFORMS, vol. 5(2), pages 229-243, April.
    14. Chern, Maw-Sheng & Jan, Rong-Hong & Chern, Ren-Jer, 1991. "Parametric nonlinear integer programming: The right-hand side case," European Journal of Operational Research, Elsevier, vol. 54(2), pages 237-255, September.
    15. Ali Diabat & Jean-Philippe Richard & Craig Codrington, 2013. "A Lagrangian relaxation approach to simultaneous strategic and tactical planning in supply chain design," Annals of Operations Research, Springer, vol. 203(1), pages 55-80, March.
    16. Ajit Chaturvedi & Sanjeev Tomer, 2003. "UMVU estimation of the reliability function of the generalized life distributions," Statistical Papers, Springer, vol. 44(3), pages 301-313, July.
    17. Cao, Ran & Coit, David W. & Hou, Wei & Yang, Yushu, 2020. "Game theory based solution selection for multi-objective redundancy allocation in interval-valued problem parameters," Reliability Engineering and System Safety, Elsevier, vol. 199(C).
    18. Du, Weiqi & Luo, Yuanxin & Wang, Yongqin, 2019. "Time-variant reliability analysis using the parallel subset simulation," Reliability Engineering and System Safety, Elsevier, vol. 182(C), pages 250-257.
    19. Coit, David W. & Zio, Enrico, 2019. "The evolution of system reliability optimization," Reliability Engineering and System Safety, Elsevier, vol. 192(C).
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    6. Nath, Rahul & Muhuri, Pranab K., 2024. "A novel evolutionary solution approach for many-objective reliability-redundancy allocation problem based on objective prioritization and constraint optimization," Reliability Engineering and System Safety, Elsevier, vol. 244(C).
    7. Peiravi, Abdossaber & Nourelfath, Mustapha & Zanjani, Masoumeh Kazemi, 2022. "Universal redundancy strategy for system reliability optimization," Reliability Engineering and System Safety, Elsevier, vol. 225(C).
    8. Chowdury, Md. Abdul Malek & Nath, Rahul & Shukla, Amit K. & Rauniyar, Amit & Muhuri, Pranab K., 2024. "Multi-task optimization in reliability redundancy allocation problem: A multifactorial evolutionary-based approach," Reliability Engineering and System Safety, Elsevier, vol. 244(C).

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