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. During the first year of work on this topic, the PI has developed a theory of modules (i.e. subsystems), calculated various sets of bounds on the distribution of the structure function when the component states are random variables, deduced axiomatic characterizations of two important special cases and derived a definition of the reliability importance of the various components. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 30, 1985
Accession Number
ADA162353

Entities

People

  • Laurence A. Baxter

Organizations

  • Stony Brook University

Tags

Communities of Interest

  • Human Systems

DTIC Thesaurus Topics

  • Air Force
  • Applied Mathematics
  • Availability
  • Classification
  • Decomposition
  • Intervals
  • Mathematics
  • Numbers
  • Operations Research
  • Probability
  • Quality Control
  • Random Variables
  • Real Numbers
  • Reliability
  • Scientific Research
  • Security
  • Statistics

Readers

  • Aerospace Test and Evaluation
  • Mathematical Modeling and Probability Theory.