Multistate Coherent Systems.

Abstract

The vast majority of reliability analyses assume that components and system are in either of two states: functioning or failed. The present paper develops basic theory for the study of systems of components in which any of a finite number of states may occur, representing at one extreme perfect functioning and at the other extreme complete failure. Axioms are given extending the standard notion of a coherent system to the new notion of a multistate coherent system. For such systems, deterministic and probabilistic properties are obtained for system performance which are analogous to well known results for coherent system reliability.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1977
Accession Number
ADA049994

Entities

People

  • E. El-neweihi
  • Frank Proschan
  • Jayaram Sethuraman

Organizations

  • Florida State University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Cannibalization
  • Classification
  • Complex Systems
  • Decomposition
  • Distribution Functions
  • Exclusion Principle
  • Identities
  • Military Research
  • Numbers
  • Random Variables
  • Redundancy
  • Reliability
  • Scientific Research
  • Statistics
  • Stochastic Processes
  • United States

Fields of Study

  • Engineering

Readers

  • Inertial Navigation Systems.
  • Mathematical Modeling and Probability Theory.