OPTIMAL REPLACEMENT AND INSPECTION OF STOCHASTICALLY FAILING EQUIPMENT,

Abstract

In preparedness-type models of single-part equipment, with an objective of maximizing the proportion of the time that the system is in a good, ready state, optimal replacement policies are periodic, and the optimal period is easily computed. The same is true of inspection, if the part has an exponential distribution of time to failure. In the case of equipment with several parts, the possibility of opportunistic maintenance arises, to take advantage of 'economies of scale' in maintenance actions. In the simple cases we have discussed, concerning equipment with two parts, one of which is monitored, the optimal policies are of the (n, N) type, which includes the periodic type as a special case. Models with more than two parts appear to present serious analytical difficulties, if one wishes to take account of economies of scale. It is likely, furthermore, that optimal policies in such cases would typically be too complicated for practical use. It may turn out, therefore, that policies of the (n, N) type will provide good practical solutions to problems involving many-part systems. Much work remains, of course, in developing techniques for optimizing even within this simple class. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 16, 1960
Accession Number
AD0634198

Entities

People

  • D. W. Jorgenson
  • R. Radner

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Inspection

Readers

  • Calculus or Mathematical Analysis
  • Logistics and Supply Chain Management.
  • Statistical inference.