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Computing Optimal Solutions to the Orienteering Problem

Abstract

We have found two admissible heuristics that we use within a branch and bound framework

to compute optimal solutions to the Orienteering Problem on both complete and incomplete

graphs. Our approach exponentially outperforms naive methods in terms of both node

expansions and runtime. A detailed description of our heuristics and overall algorithm are

provided. Finally, we analyze the performance of our approach on a variety problem of

instances.

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