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Two‐dimensional failure modeling with minimal repair

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  • J. Baik
  • D.N.P. Murthy
  • N. Jack

Abstract

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. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004.

Suggested Citation

  • J. Baik & D.N.P. Murthy & N. Jack, 2004. "Two‐dimensional failure modeling with minimal repair," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(3), pages 345-362, April.
    • Handle: RePEc:wly:navres:v:51:y:2004:i:3:p:345-362
    DOI: 10.1002/nav.10120
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    References listed on IDEAS

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    1. N Jack & D N P Murthy, 2001. "A servicing strategy for items sold under warranty," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(11), pages 1284-1288, November.
    2. Jye Lu & Gouri Bhattacharyya, 1990. "Some new constructions of bivariate Weibull models," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 42(3), pages 543-559, September.
    3. Nakagawa, Toshio & Kowada, Masashi, 1983. "Analysis of a system with minimal repair and its application to replacement policy," European Journal of Operational Research, Elsevier, vol. 12(2), pages 176-182, February.
    4. Jack, Nat & Van der Duyn Schouten, Frank, 2000. "Optimal repair-replace strategies for a warranted product," International Journal of Production Economics, Elsevier, vol. 67(1), pages 95-100, August.
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    Cited by:

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