This webpage displays some of my recent accomplishments 🎉 and ideas 💡
Most projects here explore the development of effecient methods for solving problems with a lot of data 📊
Feel free to reach out with opportunities to collaborate 🤝
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Rollout For Constrained Dynamic Programming Applied To The Quadratic Knapsack Problem
Introduction
Mathematical models which include integer variables are ubiquitous in many contexts of significant importance within scientific inquiry. Such problems typically are empirically seen as much more difficult to solve than similar models containing only continuous, real-valued variables. The primary difficulty of models with integer variables is that their solution spaces explodes combinatorially as the number of decisions to be made increases. Despite mathematical programs with integer variables suffering from the issue of combinatorial explosion resulting from the presence of integer variables, in the case of problems with linear objective functions and constraints, or problems referred to as linear programs (LPs) and mixed-integer linear programs (MILPs), several approaches have been developed for obtaining high-quality solutions very quickly with much success.
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Hello World
First blog post with an equation!