Inspection schedules when the lifetime distribution of a single-unit system is completely unknown

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

21 Scopus Citations
View graph of relations

Related Research Unit(s)


Original languageEnglish
Pages (from-to)106-115
Journal / PublicationEuropean Journal of Operational Research
Issue number1
Publication statusPublished - 1 Jul 2001


In this paper, we derive four optimum inspection policies using the inspection density n(x) proposed by Keller (cf. Keller, J.B., 1974. Optimum checking schedules for systems subject to random failure. Management Science 21, 256-260) under the assumption of entirely unknown system lifetime distribution; this is often found to be realistic in practice. The models discussed are: (1) the basic model, (2) the basic model with imperfect inspection, (3) the basic model with inspection time, and (4) the basic model with imperfect inspection and inspection time. For each model, we obtain the minimax inspection schedules minimising the total expected cost by applying the calculus of variations. © 2001 Elsevier Science B.V.

Research Area(s)

  • Calculus of variations, Inspection density, Maintenance, Minimax, Replacement