Abstract
The Unbounded Facility Location Problem on outerplanar graphs is considered. The algorithm with time complexity \( O(n m^3)\) was known for solving this problem, where \( n\) is the number of vertices, \( m\) is the number of possible plant locations. Using some properties of maximal outerplanar graphs (binary 2-trees) and the existence of an optimal solution with a family of centrally-connected service areas, the recurrence relations are obtained allowing to design an algorithm which can solve the problem in \( O(n m^{2.5})\) time.
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The author was supported by the Russian Science Foundation, project no. 16-11-10041.
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Gimadi, E. (2018). An Exact Polynomial Algorithm for the Outerplanar Facility Location Problem with Improved Time Complexity. In: van der Aalst, W., et al. Analysis of Images, Social Networks and Texts. AIST 2017. Lecture Notes in Computer Science(), vol 10716. Springer, Cham. https://doi.org/10.1007/978-3-319-73013-4_27
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DOI: https://doi.org/10.1007/978-3-319-73013-4_27
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