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Physical Sciences and Mathematics Commons

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Applied Mathematics

All Theses

Theses/Dissertations

2023

Optimization

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Multi-Commodity Flow Models For Logistic Operations Within A Contested Environment, Isabel Strinsky Aug 2023

Multi-Commodity Flow Models For Logistic Operations Within A Contested Environment, Isabel Strinsky

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Today's military logistics officers face a difficult challenge, generating route plans for mass deployments within contested environments. The current method of generating route plans is inefficient and does not assess the vulnerability within supply networks and chains. There are few models within the current literature that provide risk-averse solutions for multi-commodity flow models. In this thesis, we discuss two models that have the potential to aid military planners in creating route plans that account for risk and uncertainty. The first model we introduce is a continuous time model with chance constraints. The second model is a two-stage discrete time model …