Optimal replacement policies of repairable systems subject to shocks

Timothy I. Matis, Alagar Rangan, Dimple Thyagarajan

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


We consider a repairable system subject to a sequence of randomly occurring shocks, each of which results in a random amount of damage to the system. There are k general repair actions available, out of which one is chosen at each instant of shock arrival. The distributions of successive operating times between shocks and successive repair times are degenerative and dependent on the repair actions chosen earlier. System failure takes place when the accumulated damage crosses a fixed threshold level. We discuss optimal replacement strategies under an N-policy and a T-policy.

Original languageEnglish
Pages (from-to)286-298
Number of pages13
JournalInternational Journal of Industrial and Systems Engineering
Issue number3
StatePublished - 2007


  • Cumulative damage
  • General repair
  • Geometric process
  • N-policy
  • Repairable system
  • T-policy


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