Abstract
Recently, Cheng et al. [1] proposed the minimax regret 1-sink location problem in dynamic path networks and presented an O(nlog2 n) time algorithm for the proposed problem, where n is the number of vertices. In this paper, we study the general problem, i.e., minimax regret k-sink location problem in the dynamic path networks. Based on the algorithm for the 1-sink location problem, we design an \(O(n^2(\log n)^{1+\log k}C_n^{k-1})\) time algorithm for the general problem, where \(C_n^{k-1}\) is the number of combination choosing k − 1 from n.
This work was supported by China Postdoctoral Science Foundation under Grant 2013M530404, NSF of China under Grants 71371129, 71071123 and 61221063 and Program for Changjiang Scholars and Innovative Research Team in University under Grant IRT1173.
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References
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Ni, G., Xu, Y., Dong, Y. (2014). Minimax Regret k-sink Location Problem in Dynamic Path Networks. In: Gu, Q., Hell, P., Yang, B. (eds) Algorithmic Aspects in Information and Management. AAIM 2014. Lecture Notes in Computer Science, vol 8546. Springer, Cham. https://doi.org/10.1007/978-3-319-07956-1_3
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DOI: https://doi.org/10.1007/978-3-319-07956-1_3
Publisher Name: Springer, Cham
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