Abstract
All-optical networks with multiple fibers lead to several interesting optimization problems. In this paper, we consider the problem of minimizing the total number of fibers necessary to establish a given set of requests with a bounded number w of wavelengths, and the problem of maximizing the number of accepted requests for given fibers and bounded number w of wavelengths. We study both problems in undirected tree networks T=(V,E) and present approximation algorithms with ratio 1 + 4|E|log|V|/OPT and 4 for the former and ratio 2.542 for the latter. Our results can be adapted to directed trees as well.
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Erlebach, T., Pagourtzis, A., Potika, K., Stefanakos, S. (2003). Resource Allocation Problems in Multifiber WDM Tree Networks. In: Bodlaender, H.L. (eds) Graph-Theoretic Concepts in Computer Science. WG 2003. Lecture Notes in Computer Science, vol 2880. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39890-5_19
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DOI: https://doi.org/10.1007/978-3-540-39890-5_19
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