A historical survey of condition-based maintenance models with imperfect inspections: Cases of constant and non-constant probabilities of inspection outcomes

This article offers an extensive historical review of condition-based maintenance (CBM) models, focusing on the impact of imperfect inspections. It examines the progression and development of CBM models that incorporate both constant and non-constant probabilities of inspection outcomes. The review encompasses early foundational work, significant theoretical advancements, and practical applications across diverse industries. It investigates how different assumptions about inspection accuracy and failure detection impact CBM cost, system availability and operational reliability. Moreover, the article highlights methodological innovations that address the challenges posed by imperfect inspections, such as probabilistic modeling and optimization techniques. This survey aims to provide a thorough understanding of the complexities in CBM modeling and offers insights for future research to improve maintenance decision-making under inspection uncertainty.