A Tree Structure For Dynamic Facility Location
| Autor: | Goranci, Gramoz, Henzinger, Monika, Leniowski, Dariusz |
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| Rok vydání: | 2019 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We study the metric facility location problem with client insertions and deletions. This setting differs from the classic dynamic facility location problem, where the set of clients remains the same, but the metric space can change over time. We show a deterministic algorithm that maintains a constant factor approximation to the optimal solution in worst-case time $\tilde O(2^{O(\kappa^2)})$ per client insertion or deletion in metric spaces while answering queries about the cost in $O(1)$ time, where $\kappa$ denotes the doubling dimension of the metric. For metric spaces with bounded doubling dimension, the update time is polylogarithmic in the parameters of the problem. Comment: An extended abstract appeared at the 26th Annual European Symposium on Algorithms (ESA) 2018 |
| Databáze: | arXiv |
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