Accession Number:

ADA171154

Title:

Optimal Replacement Age in an Imperfect Inspection Model.

Descriptive Note:

Technical rept.,

Corporate Author:

FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS

Personal Author(s):

• Herge,Donna C.
• Proschan,Frank
• Sethuraman,Jayaram

Report Date:

1986-06-01

Pagination or Media Count:

20.0

Abstract:

A device is maintained under an age replacement policy. The status of the device functioning or failed is known only by inspection at some fixed interval k. With probability q, an inspection error may be made, and a functioning unit will be declared to have failed and be replaced by a new unit. On the contrary, when a failed unit is inspected, it is assumed that no inspection error will be made. Assuming that the cost of replacing a failed unit actually failed or believed failed is greater than the cost of replacing a functioning unit, we show that we can obtain an optimum replacement age which minimizes LT, the long-run expected cost per unit of time. We find a lower bound for the optimal replacement age and obtain asymptotic and monotonicity properties for LT. Author

Descriptors:

• *MAINTENANCE MANAGEMENT
• *STATISTICAL ANALYSIS
• *REPLACEMENT THEORY
• OPTIMIZATION
• AGING(MATERIALS)
• LIFE EXPECTANCY(SERVICE LIFE)
• MODELS
• REPAIR
• INSPECTION
• ASYMPTOTIC NORMALITY
• MONOTONE FUNCTIONS

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE