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arXiv · 1412.2114

Chases and Escapes, and Optimization Problems

Toru Ohira
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Abstract

We propose a new approach for solving combinatorial optimization problem by utilizing the mechanism of chases and escapes, which has a long history in mathematics. In addition to the well-used steepest descent and neighboring search, we perform a chase and escape game on the "landscape" of the cost function. We have created a concrete algorithm for the Traveling Salesman Problem. Our preliminary test indicates a possibility that this new fusion of chases and escapes problem into combinatorial optimization search is fruitful.

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Toru Ohira. 2014-12-01. Chases and Escapes, and Optimization Problems. https://doi.org/10.1007/s10015-015-0220-2

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