On the Reliability of Systems Subject to Maintenance and Repair.

Abstract

This report documents progress achieved during the period of the grant. Excellent bounds were obtained for the goodness of exponential approximation for the distribution of time to first failure starting with all components functioning, as reported in the paper, 'On the Reliability of Repairable Systems'. The technical report, 'Exponential Approximations for Two Classes of Aging Distributions' continues the principal investigator's work into the topic of exponential approximations. The paper derives inequalities and monotonicity properties for stochastic processes generated by failing items which are sometimes only imperfectly repaired (in a sense defined in the paper). As a by-product we obtain several new results for proportional hazard families of distributions. The problem of imperfect repair is an important one with obvious practical application.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1983
Accession Number
ADA133797

Entities

People

  • Mark O. Brown

Organizations

  • City College of New York

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Air Force
  • Classification
  • Inequalities
  • Maintenance
  • Mathematics
  • Military Research
  • Monotone Functions
  • New York
  • Operations Research
  • Probability
  • Random Variables
  • Reliability
  • Security
  • Statistics
  • Stochastic Processes
  • Universities

Readers

  • Logistics and Supply Chain Management.
  • Statistical inference.
  • Technical Research and Report Writing.