Effects of Inspection Error on Optimal Inspection Policies and Software Fault Detection Models

Abstract

Inspection policies are essential for many types of systems for which the status (functioning or failed) can be determined only by actual inspection. Two types of inspection error may occur. A functioning system may be incorrectly assessed as having failed or a failed system may be incorrectly assessed as functioning. These errors are designated as Types I and II respectively, and their impact on optimal inspection policies and software fault detection models is analyzed. For a periodic inspection model with Type I error, an optimal replacement age is obtained, then monotonicity and asymptotic properties of the long-run expected cost per unit of time are presented. Type I error is incorporated into a cumulative damage model. When the failure density is reverse rule of order 2, an algorithm to compute an optimal inspection sequence is derived, and it is proven that optimal intervals are increasing.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1993
Accession Number
ADA267511

Entities

People

  • Donna C. Herge

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Applied Mathematics
  • Computer Programs
  • Computers
  • Damage Detection
  • Debugging
  • Distribution Functions
  • Fire Extinguishers
  • New York
  • Normal Distribution
  • Operations Research
  • Probability
  • Random Variables
  • Reliability
  • Software Development
  • Statistics

Fields of Study

  • Engineering

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Computational Modeling and Simulation
  • Fault Tolerant Diagnosis of Black and White Balloon Isolation Tests Using ¥.