A General Cost Structure for the Semi-Markov Shock Model.

Abstract

The semi-Markov shock model represents a system where shocks occur at random points in time causing random magnitudes of damage in such a way that the cumulative damage to the system over time is a semi-Markov process. System failure can occur at any of the shock times and the probability of failure is a function of the cumulative damage. An optimal control limit type policy has previously been derived assuming that costs are incurred at the replacement time. This note is to show that the inclusion of state dependent maintenance costs does not significantly affect the form of the optimal control limit. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1977
Accession Number
ADA041485

Entities

People

  • Richard M. Feldman

Organizations

  • Texas A&M University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Engineering
  • Equations
  • Inclusions
  • Industrial Engineering
  • Maintenance
  • Maintenance Costs
  • Markov Chains
  • Markov Processes
  • New York
  • Notation
  • Probability
  • Random Variables
  • Stochastic Processes
  • Universities

Readers

  • Life Cycle Cost Analysis
  • Mathematical Modeling and Probability Theory.
  • Structural Health Monitoring of Composite Structures.