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ABSTRACTThe objective of this research is to investigate the use of a mathematical modeling methodology for integrating maintenance planning and sortie scheduling issues. First, the relevant research literature for both selective maintenance and fleet assignment is presented. Next, background research is presented, which extends a current selective maintenance model to incorporate sets of systems. Here a selective maintenance model for a set of systems that must execute a set of missions with system maintenance performed only between missions is defined. Finally, we formulate a more complex optimization model that addresses a more dynamic mission profile. Specifically, missions start and end at different times, and maintenance and scheduling decisions are made over a series of time "buckets." We consider a planning horizon such that each system in the set returns from its previous mission and begins its future mission; however, no system returns from its future before the end of the planning horizon. times; therefore, a maintenance manager must decide how to allocate the available resources. This allocation falls within the domain of selective maintenance. Selective maintenance is defined as the process of identifying the subset of maintenance activities to perform from a set of desired maintenance actions. Although the modeling of repairable equipment has been studied extensively, traditional studies tend to focus on a single system and ignore the mission profile of the system. For the United States Air Force (USAF), these limitations prevent current models from providing meaningful guidance relative to maintenance planning and sortie scheduling.The objective of this project is to investigate the use of a mathematical modeling methodology for integrating maintenance planning and sortie scheduling issues. First, the relevant research literature for both selective maintenance and fleet assignment is presented. The selective maintenance literature is limited in that current models only consider a single system, and most of the fleet assignment literature is motivated by the com...