Contribution to the Theory of Component Availability.

Abstract

This paper develops the concept of component availability as intrinsically dependent upon the system in which the component functions. The connection between the repair aspects of the system and component availability is developed in two ways. An integro-differential equation is derived that relates the two concepts. Alternatively the repair process is treated as a combinatorial queue in which each element of the system is tracked through its states of availability. Examples are given in some detail for small number of elements. Numerical solutions are given for illustrative purposes. Both time varying and steady state solutions are obtained. Some approaches to a trade off analysis for availability specification or design are given. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1976
Accession Number
ADA047307

Entities

People

  • Clifford Marshall

Tags

Communities of Interest

  • Human Systems

DTIC Thesaurus Topics

  • Availability
  • Corn
  • Differential Equations
  • Distribution Functions
  • Equations
  • Equations Of State
  • Integrals
  • New York
  • Numerical Analysis
  • Probability
  • Probability Distributions
  • Random Variables
  • Reliability
  • Specifications
  • Standards
  • Statistical Analysis
  • Steady State

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Computational Modeling and Simulation
  • Software Engineering