On a general repair model for repairable systems

• Other Authors: Dorado, Crisanto Ayap.
• Format: Others
• Language: English
• Subjects: Statistics
• Online Access: http://purl.flvc.org/fsu/lib/digcoll/etd/3088702

The minimal repair process assumes that upon repair a system is restored to its functioning condition just before failure. For systems with few vulnerable components it is more reasonable to assume that repair actually brings the state of the system to a level that is between "completely new" and "prior to failure". Kijima (1989) introduced models for such a repair process based on the notion of age reduction. Under age reduction, the system, upon repair, is functionally the same as an identical system of lesser age. An alternative to age reduction is the notion of extra life. Under this notion, the system, upon repair, enjoys a longer expected remaining life than it would have had under a minimal repair. === In this dissertation, we introduce a repair model that generalizes Kijima's models so as to include both the notions of age reduction and extra life. We then look at the problem of estimating system reliability based on observations of the repair process from several systems working independently. We make use of counting processes and martingales to derive large sample properties of the estimator. === Source: Dissertation Abstracts International, Volume: 56-07, Section: B, page: 3837. === Major Professors: Myles Hollander; Jayaram Sethuraman. === Thesis (Ph.D.)--The Florida State University, 1995.