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Characterizing the barlow‐wu structure functions

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  • Fan C. Meng

Abstract

Various mathematical models for multistate systems have been proposed in the literature. Among them the model introduced by Barlow and Wu is the one most intimately related to that of binary systems; hence the Barlow‐Wu class possesses many nice properties inherited from the binary systems. In this article we obtain several characterization results for multistate systems, which closely relate the Barlow‐Wu class to other classes of multistate systems. The characterizations we obtained originate from the invariance properties of the Barlow‐Wu functions, and are easy to apply in verifying whether a particular model is of the Barlow‐Wu type. © 1994 John Wiley & Sons, Inc.

Suggested Citation

  • Fan C. Meng, 1994. "Characterizing the barlow‐wu structure functions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(5), pages 661-668, August.
  • Handle: RePEc:wly:navres:v:41:y:1994:i:5:p:661-668
    DOI: 10.1002/1520-6750(199408)41:53.0.CO;2-M
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    1. Wagner De Souza Borges & Flávio Wagner Rodrigues, 1983. "An Axiomatic Characterization of Multistate Coherent Structures," Mathematics of Operations Research, INFORMS, vol. 8(3), pages 435-438, August.
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    Cited by:

    1. Michael V. Boutsikas & Markos V. Koutras, 2002. "On a class of multiple failure mode systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(2), pages 167-185, March.

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