Theory of Maintained Systems: Distribution of Time to First System Failure.

Abstract

The distribution of time to first system failure is considered for systems whose repairable components are separately maintained. It is shown that if repairable components have exponential failure law while repair distributions have decreasing repair rate, then the distribution of time to first system failure is NBU (for new better than used). This result is used to provide useful bounds on the system failure distribution. Improved bounds for the exponential repair case are given.

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1974
Accession Number
ADA004210

Entities

People

  • Frank Proschan
  • Richard E. Barlow

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Behavior And Behavior Mechanisms
  • Behavioral Disciplines And Activities
  • Behavioral Sciences
  • Computing-Related Activities
  • Cooperation
  • Data Science
  • Group Dynamics
  • Information Science
  • Interdisciplinary Science
  • Statistics

Fields of Study

  • Engineering

Readers

  • Facility/Structural Engineering.
  • Statistical inference.