INSPECTION-MAINTENANCE-REPLACEMENT SCHEDULES UNDER MARKOVIAN DETERIORATION
Abstract
IT IS ASSUMED THAT AN INSPECTION IS CAPABLE OF SUPPLYING MORE INFORMATION ABOUT A SYSTEM'S CONDITION THAN JUST WHETHER IT IS OPERATIVE OR INOPERATIVE. Specifically, our assumption is that the deterioration of the system can be described as a discrete time, finite Markov chain and that the inspection procedure is capable of detecting which state the system is in at the time it takes place. Repairs, if made, can put the system in one of many possible states, theAS NEW STATE BEING ONLY ONE OF THE AVAILABLE ALTERNATIVES. The purpose was to show, for an average cost per unit time criterion function, that the problem of finding an optimal inspectionrepair-replacement policy can be formulated in linear programming terms. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1961
- Accession Number
- AD0269367
Entities
People
- Morton Klein
Organizations
- Columbia University