Term of Award
Master of Science in Mathematics (M.S.)
Document Type and Release Option
Thesis (open access)
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This work is licensed under a Creative Commons Attribution 4.0 License.
Department of Mathematical Sciences
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Through-out military history, the need to safely and effectively allocate resources to various military operations was a task of extreme importance. Satisfying the needs of multiple consumers by optimally pairing with appropriate suppliers falls into the category of vehicle routing problems (VRP), which has been intensively studied over the years. In general, finding the optimal solution to VRP is known to be NP-hard. The proposed solutions rely on mathematical programming and the size of the problems that can be optimally solved is typically limited. In military settings, balancing the needs of multiple consumers with the current operational environment has always been a challenge. This balancing is equally crucial to the survivability of transporters and consumers. The main goal is finding an optimal way of ensuring required delivery while minimizing Soldiers risks. We show that under certain assumptions we can formulate this problem as a linear programming problem with specific constraints.
Fletcher, TaLena, "Optimal Supply Delivery Under Military Specific Constraints" (2018). Electronic Theses and Dissertations. 1782.
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