Type of Document Dissertation Author Wang, Hongye Author's Email Address email@example.com URN etd-08142008-141720 Title A Unified Methodology of Maintenance Management for Repairable Systems Based on Optimal Stopping Theory Degree Doctor of Philosophy (Ph.D.) Department Engineering Science (Interdepartmental Program) Advisory Committee
Advisor Name Title Xiaoyue Jiang Committee Chair Bhaba R. Sarker Committee Member Charles J. Monlezun Committee Member Fereydoun Aghazadeh Committee Member Shuangqing Wei Committee Member Michael A. Malisoff Dean's Representative Keywords
- maintenance management
- optimal stopping
- preventive maintenance
- stochastic process
Date of Defense 2008-07-28 Availability unrestricted AbstractThis dissertation focuses on the study of maintenance management for repairable systems based on optimal stopping theory. From reliability engineering’s point of view, all systems are subject to deterioration with age and usage. System deterioration can take various forms, including wear, fatigue, fracture, cracking, breaking, corrosion, erosion and instability, any of which may ultimately cause the system to fail to perform its required function. Consequently, controlling system deterioration through maintenance and thus controlling the risk of system failure becomes beneficial or even necessary. Decision makers constantly face two fundamental problems with respect to system maintenance. One is whether or when preventive maintenance should be performed in order to avoid costly failures. The other problem is how to make the choice among different maintenance actions in response to a system failure.
The whole purpose of maintenance management is to keep the system in good working condition at a reasonably low cost, thus the tradeoff between cost and condition plays a central role in the study of maintenance management, which demands rigorous optimization.
The agenda of this research is to develop a unified methodology for modeling and optimization of maintenance systems. A general modeling framework with six classifying criteria is to be developed to formulate and analyze a wide range of maintenance systems which include many existing models in the literature. A unified optimization procedure is developed based on optimal stopping, semi-martingale, and lambda-maximization techniques to solve these models contained in the framework. A comprehensive model is proposed and solved in this general framework using the developed procedure which incorporates many other models as special cases. Policy comparison and policy optimality are studied to offer further insights. Along the theoretical development, numerical examples are provided to illustrate the applicability of the methodology.
The main contribution of this research is that the unified modeling framework and systematic optimization procedure structurize the pool of models and policies, weed out non-optimal policies, and establish a theoretical foundation for further development.
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