Optimal Maintenance Planning in Novel SettingsHe, Kai (2017) Optimal Maintenance Planning in Novel Settings. Doctoral Dissertation, University of Pittsburgh. (Unpublished)
AbstractIn this dissertation work, we focus on optimal planning of maintenance activities in several novel settings. First, we consider a maintenance optimization model for a system with periodic preventive maintenance (PM), and periodic imperfect inspections to detect hidden failures. Our stylized mathematical model is inspired by the increasingly popular remote monitoring practices. We describe, both analytically and numerically, important structural properties of the model, and propose a simple approach to find a globally optimal solution. In the second chapter, we investigate a maintenance planning scenario in which the implementation of PM is unpunctual. Under the assumption that the degree of the unpunctuality follows a known probability distribution, we formulate cost-rate minimizing models to study the impact of such deviations. We establish both analytical and numerical results for two specific types of maintenance policies common in practice, namely age replacement with and without minimal repair. Finally, we focus on "maintaining" the health status of a patient with a chronic disease by investigating an optimal medical treatment sequencing problem. We restrict our attention to the two treatment case, and simultaneously balance three tradeoffs inherent to these treatments, i.e., length of effectiveness delay, probability of effectiveness and cost/reward. We provide both theoretical conditions and numerical examples that indicate when, as a function of the model parameters, it is optimal to initiate treatment with one treatment versus the other. Share
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