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Continuous Multistate Structure Functions

Author

Listed:
  • H. W. Block

    (University of Pittsburgh, Pittsburgh, Pennsylvania)

  • T. H. Savits

    (University of Pittsburgh, Pittsburgh, Pennsylvania)

Abstract

Usually, systems and components are described as being in one of two modes, “on” or “off.” Such systems are described using binary structure functions. More realistically, components can be in more than two states—for example, there can be partially failed or partially operating modes. In fact, the system state can be described by continuously many values if percentage effort or percentage capacity is recorded. This paper discusses the structure functions of such continuous multistate systems and obtains a decomposition of these functions into more elementary functions.

Suggested Citation

  • H. W. Block & T. H. Savits, 1984. "Continuous Multistate Structure Functions," Operations Research, INFORMS, vol. 32(3), pages 703-714, June.
    • Handle: RePEc:inm:oropre:v:32:y:1984:i:3:p:703-714
    DOI: 10.1287/opre.32.3.703
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    Cited by:

    1. J. Yáñez & J. Montero, 1993. "Barlow-wu continuum systems: A discussion on the model," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 1(1), pages 117-125, December.
    2. Laurence A. Baxter & Farid Harche, 1992. "Note: On the greedy algorithm for optimal assembly," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(6), pages 833-837, October.

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