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# osm-integer-programming
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A program for calculating optimal cycling routes modelled as an integer program (known as the *Cycle Trip Planning Problem*). Mapping data is provided by [OpenStreetMaps](https://www.openstreetmap.org/#) and parsed by [GraphHopper](https://github.com/graphhopper/graphhopper). The integer program is solved using [Gurobi](http://www.gurobi.com/)
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A program for calculating optimal cycling routes modelled as an integer program (known as the *Cycle Trip Planning Problem*). Mapping data is provided by [OpenStreetMaps](https://www.openstreetmap.org/#) and parsed by [GraphHopper](https://github.com/graphhopper/graphhopper). The integer program is solved using [Gurobi](http://www.gurobi.com/).
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Mathemtical formulation of the Cycle Trip Planning Problem is from the following [paper](https://www.sciencedirect.com/science/article/pii/S1366554514000751):
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Mathematical formulation of the Cycle Trip Planning Problem is from the following [paper](https://www.sciencedirect.com/science/article/pii/S1366554514000751):
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```
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Verbeeck, C., Vansteenwegen, P., & Aghezzaf, E. H. (2014). An Extension of the Arc Orienteering
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Problem and its Application to Cycle Trip Planning. Transportation Research Part E: Logistics
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and Transportation Teview, 68, 64-78.
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```
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This is part of my senior thesis code: [Plastix/osm-bike-routing](https://github.com/Plastix/osm-bike-routing)

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