Abstract
In this article we propose optimal and quasi optimal solutions to the problem of searching for the maximum lighting point inside a polygon P of n vertices. This problem is solved by using three different techniques: random search, simulated annealing and gradient. Our comparative study shows that simulated annealing is very competitive in this application. To accomplish the study, a new polygon generator has been implemented, which greatly helps in the general validation of our claims on the illumination problem as a new class of optimization task.
Partially supported by TIN 2005-08818-C04-01 and CAM S-0505/DPI/023.
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Abellanas, M., Alba, E., Canales, S., Hernández, G. (2007). Solving the Illumination Problem with Heuristics. In: Boyanov, T., Dimova, S., Georgiev, K., Nikolov, G. (eds) Numerical Methods and Applications. NMA 2006. Lecture Notes in Computer Science, vol 4310. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70942-8_24
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DOI: https://doi.org/10.1007/978-3-540-70942-8_24
Publisher Name: Springer, Berlin, Heidelberg
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