TY - JOUR AU - Rai, Rajiv Nandan AB - Most of the systems are treated as repairable in automobile, nuclear and aviation industries, and often subjected to imperfect maintenance. Reliability assessment of such systems is generally done by observing their failures which could be the consequences of bad environmental conditions, and thus, the mathematical modeling of failure data along with other risk factors becomes essential. The available literature provides mainly two types of models to deal with such situations: (1) traditional imperfect maintenance (TIM) models, and (2) proportional hazard (PH) models (PHM). These are two major categories of models for reliability modelling and analysis of lifetime data and are treated separately. To model and analyze practical industrial problems, at times it is unavoidable to use and combine TIM with PH models. Presently, the literature lacks in providing an organized literature survey on the development of both TIM and PH models together summarized at one place. Considering this as a research gap, we present an extensive literature survey, from 1965 to 2020, on the development of (1) TIM models, and (2) PH models. Through this work, our objective is to create a new paradigm for the academicians to appreciate overall development of above stated categorized models for future work. Most importantly, the yearwise organized framework of the presented paper will contribute as a ready reference for the researchers to appreciate the developments in both the fields. TI - Imperfect maintenance and proportional hazard models: a literature survey from 1965 to 2020 JF - Life Cycle Reliability and Safety Engineering DO - 10.1007/s41872-021-00181-0 DA - 2022-03-01 UR - https://www.deepdyve.com/lp/springer-journals/imperfect-maintenance-and-proportional-hazard-models-a-literature-u81EW2beie SP - 87 EP - 103 VL - 11 IS - 1 DP - DeepDyve ER -