Multistate Reliability Models.

Abstract

In this paper an axiomatic development of multistate systems is presented. Three types of coherence based on the strength of the relevancy axiom are studied. The strongest of these has been investigated previously by El-Neweihi, Proschan, and Sethuraman. One of the weaker types of coherence permits wider applicability to real life situations without sacrificing any of the mathematical results obtained by El-Neweihi, Proschan, and Sethuraman. The concept of system performance is formalized through expected utility and the effect of component improvement on system performance is studied using a generalization of Birnbaum's reliability importance. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1978
Accession Number
ADA072303

Entities

People

  • Henry W. Block
  • William S. Griffith

Organizations

  • University of Pittsburgh

Tags

DTIC Thesaurus Topics

  • Data Science
  • Decomposition
  • Equations
  • Inequalities
  • Information Science
  • Mathematics
  • Probability
  • Probability Distributions
  • Random Variables
  • Reliability
  • Spare Parts
  • Statistical Analysis
  • Statistics

Readers

  • Mathematical Modeling and Probability Theory.
  • Software Engineering
  • Theoretical Analysis.