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On the Use of Replacements to Extend System Life

Author

Listed:
  • C. Derman

    (Columbia University, New York, New York)

  • G. J. Lieberman

    (Stanford University, Palo Alto, California)

  • S. M. Ross

    (University of California, Berkeley, California)

Abstract

We consider an extreme version of the replacement problem. A vital component of a system must be replaced before it fails, otherwise the system fails with no possibility of repairing the system. We assume that n spares are available and that the distribution of a component life is known; the objective is to schedule the replacements so that the expected life of the system is maximized. Our results range from an iterative formula for constructing the optimal schedule to more general mathematical properties of optimal schedules and expected times.

Suggested Citation

  • C. Derman & G. J. Lieberman & S. M. Ross, 1984. "On the Use of Replacements to Extend System Life," Operations Research, INFORMS, vol. 32(3), pages 616-627, June.
    • Handle: RePEc:inm:oropre:v:32:y:1984:i:3:p:616-627
    DOI: 10.1287/opre.32.3.616
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    Citations

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    Cited by:

    1. Si, Xiao-Sheng & Chen, Mao-Yin & Wang, Wenbin & Hu, Chang-Hua & Zhou, Dong-Hua, 2013. "Specifying measurement errors for required lifetime estimation performance," European Journal of Operational Research, Elsevier, vol. 231(3), pages 631-644.
    2. Kai He & Lisa M. Maillart & Oleg A. Prokopyev, 2019. "Optimal sequencing of heterogeneous, non-instantaneous interventions," Annals of Operations Research, Springer, vol. 276(1), pages 109-135, May.
    3. Wallace J. Hopp & Sung‐Chi Wu, 1988. "Multiaction maintenance under markovian deterioration and incomplete state information," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(5), pages 447-462, October.
    4. Chernonog, Tatyana & Avinadav, Tal, 2016. "A two-state partially observable Markov decision process with three actionsAuthor-Name: Ben-Zvi, Tal," European Journal of Operational Research, Elsevier, vol. 254(3), pages 957-967.
    5. Yeek-Hyun Kim & Lyn Thomas, 2013. "Training and repair policies for stand-by systems," Annals of Operations Research, Springer, vol. 208(1), pages 469-487, September.
    6. Si, Xiao-Sheng & Wang, Wenbin & Chen, Mao-Yin & Hu, Chang-Hua & Zhou, Dong-Hua, 2013. "A degradation path-dependent approach for remaining useful life estimation with an exact and closed-form solution," European Journal of Operational Research, Elsevier, vol. 226(1), pages 53-66.
    7. Michael Katehakis & Ingram Olkin & Sheldon Ross & Jian Yang, 2013. "On the life and work of Cyrus Derman," Annals of Operations Research, Springer, vol. 208(1), pages 5-26, September.
    8. Steven M. Shechter & Matthew D. Bailey & Andrew J. Schaefer, 2008. "Replacing nonidentical vital components to extend system life," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(7), pages 700-703, October.
    9. Ciriaco Valdez‐Flores & Richard M. Feldman, 1989. "A survey of preventive maintenance models for stochastically deteriorating single‐unit systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(4), pages 419-446, August.

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