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 laid down 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.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1977
Accession Number
ADA047614

Entities

People

  • E. El-neweihi
  • F. Proschan
  • J. Sethuraman

Organizations

  • University of Kentucky

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Complex Systems
  • Decomposition
  • Distribution Functions
  • Identities
  • Kentucky
  • Military Research
  • Numbers
  • Probability
  • Random Variables
  • Real Numbers
  • Redundancy
  • Reliability
  • Scientific Research
  • Standards
  • Stochastic Processes
  • United States

Fields of Study

  • Engineering

Readers

  • Mathematical Modeling and Probability Theory.
  • Software Engineering