Properties of an Approximate Hazard Transform.

Abstract

The calculation of the exact reliability of complex systems is a difficult and tedious task. Consequently simple approximating techniques have great practical value. The hazard transform of a system is an invertible transformation of its reliability function which is convenient and useful in both applied and theoretical reliability work. A simple calculus for finding an approximate hazard transform for systems formed by series and parallel combinations of components is extended so that it can be used for any coherent system. The extended calculus is shown to lead to conservative approximations. A first order version of the extended calculus is also discussed. This method of approximation is even more simple to use, but is not always conservative. Examples of its application indicate that it is capable of giving quite accurate results. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1973
Accession Number
AD0769401

Entities

People

  • J. D. Esary
  • W. J. Hayne

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Calculus
  • Complex Systems
  • Reliability

Fields of Study

  • Engineering

Readers

  • Approximation Theory.
  • Mathematical Modeling and Probability Theory.
  • Systems Analysis and Design