Abstract
In this paper, we investigate the spectrum assignment (SA) problem in chain and ring topologies, which is the key network design and control problem in spectrum sliced elastic optical path network. Improved algorithms with guaranteed performance ratios are provided for several NP-hard scenarios of the SA problem. Concretely, we develop \(\frac{4}{3}\)-approximation algorithms for the SA problem in chain networks with five or six nodes, and for the SA problem in the clockwise direction of a bidirectional ring networks with five nodes. For the latter problem with six nodes, we propose a \(\frac{3}{2}\)-approximation algorithm. All the algorithms are combinatorial and constructive, whose performance ratios are strictly smaller than the best known ones to date.
G. Chen–Supported by the National Natural Science Foundation of China (11571252).
A. Zhang–Supported by the National Natural Science Foundation of China (11771114, 11201105) and the Zhejiang Provincial Natural Science Foundation of China (LY16A010015).
Y. Chen–Supported by the National Natural Science Foundation of China (11401149).
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Chen, G., Zhang, L., Zhang, A., Chen, Y. (2017). Combinatorial Approximation Algorithms for Spectrum Assignment Problem in Chain and Ring Networks. In: Gao, X., Du, H., Han, M. (eds) Combinatorial Optimization and Applications. COCOA 2017. Lecture Notes in Computer Science(), vol 10627. Springer, Cham. https://doi.org/10.1007/978-3-319-71150-8_12
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DOI: https://doi.org/10.1007/978-3-319-71150-8_12
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