Two-dimensional failure modeling with minimal repair

J. Baik, D. N. P. Murthy, Nat Jack

Research output: Contribution to journalArticlepeer-review

56 Citations (Scopus)


In this paper, we discuss two-dimensional failure modeling for a system where degradation is due to age and usage. We extend the concept of minimal repair for the one-dimensional case to the two-dimensional case and characterize the failures over a two-dimensional region under minimal repair. An application of this important result to a manufacturer's servicing costs for a two-dimensional warranty policy is given and we compare the minimal repair strategy with the strategy of replacement of failure.
Original languageEnglish
Pages (from-to)345-362
Number of pages18
JournalNaval Research Logistics
Issue number3
Publication statusPublished - 2004


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