Continuum Structure Functions.

Abstract

A continuum structure function is a nondecreasing mapping from the unit hypercube to the unit interval. The theory of such functions generalizes the traditional theory of binary and multistate structure functions, permitting more realistic and flexible modelling of systems subject to reliability growth, component degradation and partial availability. A theory of modules (i.e. subsystems) was developed and, various sets of bounds were calculated on the distribution of the structure function when the component states are random variables. Axiomatic characterizations of two important special cases are deduced a definition derived of the reliability importance of the various components, a theory of cannibalization deduced.

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Document Details

Document Type
Technical Report
Publication Date
Jul 23, 1984
Accession Number
ADA175005

Entities

People

  • Laurence A. Baxter

Organizations

  • Stony Brook University

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Applied Mathematics
  • Cannibalization
  • Classification
  • Decomposition
  • Failed States
  • Mathematics
  • New York
  • Probability
  • Random Variables
  • Reliability
  • Scientific Research
  • Security
  • Spare Parts
  • Statistics

Readers

  • Mathematical Modeling and Probability Theory.
  • Software Engineering