Preventive maintenance for inspected systems with additive subexponential shock magnitudes

Esther Frostig, Moshe Kenzin

Research output: Contribution to journalArticlepeer-review


We examine the long-run average availability and cost rate of a maintained system which deteriorates according to a random-shock process. Shocks arrive according to a Poisson process. The system fails whenever the cumulative damage exceeds a given threshold. The system's failures are not self-announcing, hence, failures must be detected via inspections. The system is inspected at periodic or exponentially distributed intervals. Systems are replaced by preventive maintenance or after failure (corrective maintenance), whichever occurs first. When the distribution function of the shock magnitudes belongs to the class of subexponential distributions, we obtain simple approximations for the availability and the cost rate.

Original languageEnglish
Pages (from-to)359-371
Number of pages13
JournalApplied Stochastic Models in Business and Industry
Issue number4
StatePublished - Jul 2007


  • Availability
  • Poisson's process
  • Random shocks
  • Subexponential distribution
  • Up-time

ASJC Scopus subject areas

  • Modeling and Simulation
  • General Business, Management and Accounting
  • Management Science and Operations Research


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