On the complexity of weight-dynamic network algorithms
Henzinger MH, Paz A, Schmid S. 2021. On the complexity of weight-dynamic network algorithms. IFIP Networking Conference. IFIP: Networking.
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https://doi.org/10.48550/arXiv.2105.13172
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Conference Paper
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Scopus indexed
Author
Henzinger, MonikaISTA ;
Paz, Ami;
Schmid, Stefan
Abstract
While operating communication networks adaptively may improve utilization and performance, frequent adjustments also introduce an algorithmic challenge: the re-optimization of traffic engineering solutions is time-consuming and may limit the granularity at which a network can be adjusted. This paper is motivated by question whether the reactivity of a network can be improved by re-optimizing solutions dynamically rather than from scratch, especially if inputs such as link weights do not change significantly. This paper explores to what extent dynamic algorithms can be used to speed up fundamental tasks in network operations. We specifically investigate optimizations related to traffic engineering (namely shortest paths and maximum flow computations), but also consider spanning tree and matching applications. While prior work on dynamic graph algorithms focusses on link insertions and deletions, we are interested in the practical problem of link weight changes. We revisit existing upper bounds in the weight-dynamic model, and present several novel lower bounds on the amortized runtime for recomputing solutions. In general, we find that the potential performance gains depend on the application, and there are also strict limitations on what can be achieved, even if link weights change only slightly.
Publishing Year
Date Published
2021-06-21
Proceedings Title
IFIP Networking Conference
Publisher
Institute of Electrical and Electronics Engineers
Conference
IFIP: Networking
Conference Location
Espoo and Helsinki, Finland
Conference Date
2021-06-21 – 2021-06-24
eISSN
IST-REx-ID
Cite this
Henzinger MH, Paz A, Schmid S. On the complexity of weight-dynamic network algorithms. In: IFIP Networking Conference. Institute of Electrical and Electronics Engineers; 2021. doi:10.23919/ifipnetworking52078.2021.9472803
Henzinger, M. H., Paz, A., & Schmid, S. (2021). On the complexity of weight-dynamic network algorithms. In IFIP Networking Conference. Espoo and Helsinki, Finland: Institute of Electrical and Electronics Engineers. https://doi.org/10.23919/ifipnetworking52078.2021.9472803
Henzinger, Monika H, Ami Paz, and Stefan Schmid. “On the Complexity of Weight-Dynamic Network Algorithms.” In IFIP Networking Conference. Institute of Electrical and Electronics Engineers, 2021. https://doi.org/10.23919/ifipnetworking52078.2021.9472803.
M. H. Henzinger, A. Paz, and S. Schmid, “On the complexity of weight-dynamic network algorithms,” in IFIP Networking Conference, Espoo and Helsinki, Finland, 2021.
Henzinger MH, Paz A, Schmid S. 2021. On the complexity of weight-dynamic network algorithms. IFIP Networking Conference. IFIP: Networking.
Henzinger, Monika H., et al. “On the Complexity of Weight-Dynamic Network Algorithms.” IFIP Networking Conference, Institute of Electrical and Electronics Engineers, 2021, doi:10.23919/ifipnetworking52078.2021.9472803.
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arXiv 2105.13172