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Selective maintenance optimisation for series-parallel systems alternating missions and scheduled breaks with stochastic durations

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Abstract
This paper deals with the selective maintenance problem for a multi-component system performing consecutive missions separated by scheduled breaks. To increase the probability of successfully completing its next mission, the system components are maintained during the break. A list of potential imperfect maintenance actions on each component, ranging from minimal repair to replacement is available. The general hybrid hazard rate approach is used to model the reliability improvement of the system components. Durations of the maintenance actions, the mission and the breaks are stochastic with known probability distributions. The resulting optimisation problem is modelled as a non-linear stochastic programme. Its objective is to determine a cost-optimal subset of maintenance actions to be performed on the components given the limited stochastic duration of the break and the minimum system reliability level required to complete the next mission. The fundamental concepts and relevant parameters of this decision-making problem are developed and discussed. Numerical experiments are provided to demonstrate the added value of solving this selective maintenance problem as a stochastic optimisation programme.
Keywords
selective maintenance, reliability, preventive maintenance, stochastic optimisation

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MLA
Khatab, Abdelhakim et al. “Selective Maintenance Optimisation for Series-parallel Systems Alternating Missions and Scheduled Breaks with Stochastic Durations.” INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH 55.10 (2017): 3008–3024. Print.
APA
Khatab, Abdelhakim, Aghezzaf, E.-H., Diallo, C., & Djelloul, I. (2017). Selective maintenance optimisation for series-parallel systems alternating missions and scheduled breaks with stochastic durations. INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH, 55(10), 3008–3024.
Chicago author-date
Khatab, Abdelhakim, El-Houssaine Aghezzaf, Claver Diallo, and Imene Djelloul. 2017. “Selective Maintenance Optimisation for Series-parallel Systems Alternating Missions and Scheduled Breaks with Stochastic Durations.” International Journal of Production Research 55 (10): 3008–3024.
Chicago author-date (all authors)
Khatab, Abdelhakim, El-Houssaine Aghezzaf, Claver Diallo, and Imene Djelloul. 2017. “Selective Maintenance Optimisation for Series-parallel Systems Alternating Missions and Scheduled Breaks with Stochastic Durations.” International Journal of Production Research 55 (10): 3008–3024.
Vancouver
1.
Khatab A, Aghezzaf E-H, Diallo C, Djelloul I. Selective maintenance optimisation for series-parallel systems alternating missions and scheduled breaks with stochastic durations. INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH. Informa UK Limited; 2017;55(10):3008–24.
IEEE
[1]
A. Khatab, E.-H. Aghezzaf, C. Diallo, and I. Djelloul, “Selective maintenance optimisation for series-parallel systems alternating missions and scheduled breaks with stochastic durations,” INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH, vol. 55, no. 10, pp. 3008–3024, 2017.
@article{8520551,
  abstract     = {This paper deals with the selective maintenance problem for a multi-component system performing consecutive missions separated by scheduled breaks. To increase the probability of successfully completing its next mission, the system components are maintained during the break. A list of potential imperfect maintenance actions on each component, ranging from minimal repair to replacement is available. The general hybrid hazard rate approach is used to model the reliability improvement of the system components. Durations of the maintenance actions, the mission and the breaks are stochastic with known probability distributions. The resulting optimisation problem is modelled as a non-linear stochastic programme. Its objective is to determine a cost-optimal subset of maintenance actions to be performed on the components given the limited stochastic duration of the break and the minimum system reliability level required to complete the next mission. The fundamental concepts and relevant parameters of this decision-making problem are developed and discussed. Numerical experiments are provided to demonstrate the added value of solving this selective maintenance problem as a stochastic optimisation programme.},
  author       = {Khatab, Abdelhakim and Aghezzaf, El-Houssaine and Diallo, Claver and Djelloul, Imene},
  issn         = {0020-7543},
  journal      = {INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH},
  keywords     = {selective maintenance,reliability,preventive maintenance,stochastic optimisation},
  language     = {eng},
  number       = {10},
  pages        = {3008--3024},
  publisher    = {Informa UK Limited},
  title        = {Selective maintenance optimisation for series-parallel systems alternating missions and scheduled breaks with stochastic durations},
  url          = {http://dx.doi.org/10.1080/00207543.2017.1290295},
  volume       = {55},
  year         = {2017},
}

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