Imperfect Repair.

Abstract

A device is repaired at failure. With probability p, it is returned to the 'good as new' state (perfect repair); with probability 1 - p it is returned to the functioning state, not is only as good as a device of age equal to its age at failure (imperfect repair). Repair takes negligible time. We obtain the distribution F sub p of the interval between successive good as new states in terms of the underlying life distribution F. We show that if F is in any of the life distribution classes: IFR, DFR, IFRA, DFRA, NBU, NWU, DMRL, or IMRL, then F sub p is in the same class. Finally, a number of monotonicity properties for various parameters and random variables of the stochastic process is obtained. The results obtained are of interest in the context of stochastic processes in general, as well as being useful in the particular imperfect repair model studied.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1980
Accession Number
ADA086845

Entities

People

  • Frank Proschan
  • Mark O. Brown

Organizations

  • Florida State University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Intensity
  • Intervals
  • Probability
  • Random Variables
  • Scientific Research
  • Sequences
  • Statistics
  • Steady State
  • Stochastic Processes

Readers

  • Logistics and Supply Chain Management.
  • Statistical inference.