An Algebraic Structure for the Convolution of Life Distributions.

Abstract

In this paper one method for analytically describing the life distribution of a system is investigated. This is done by using the inherent properties of convolutions and mixtures of life distributions to create an algebraic structure. Once the algebraic structure is constructed it can be used to develop algorithms to go from the schematic of a system to its survival function. It is noted along the way that many combinations of constant failure rate components, e.g., redundant, series, or parallel systems can be described by a mixture of convolutions and that often these expressions can be greatly simplified. Algebraic properties; Life Distributions and Branching Diagrams; and The Correspondence Between Branching Diagrams and Fault Trees.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1982
Accession Number
ADA124605

Entities

People

  • Danny L. Hogg

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • California
  • Complex Systems
  • Convolution Integrals
  • Equations
  • Identities
  • Integral Equations
  • Integrals
  • Mathematics
  • Operations Research
  • Probability
  • Probability Density Functions
  • Probability Distributions
  • Random Variables
  • Reliability
  • United States

Fields of Study

  • Engineering

Readers

  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Mathematical Modeling and Probability Theory.
  • Tribology (the study of the boundary interaction between sliding surfaces, lubrication, wear and friction).