Abstract
We study the problem of online packet routing in dynamic store-and-forward directed line networks. We present a centralized randomized online algorithm that achieves a throughput that is O(logn)-competitive, where n denotes the number of nodes. Our algorithm is applicable to all values of buffer sizes and communication link capacities. In particular, it holds also for unit buffers.
This algorithm improves the best previous O(log2 n)-competitive ratio of [6] and considers links with unit capacities.
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Adler, M., Rosenberg, A.L., Sitaraman, R.K., Unger, W.: Scheduling time-constrained communication in linear networks. Theory Comput. Syst. 35(6), 599–623 (2002)
Aiello, W., Kushilevitz, E., Ostrovsky, R., Rosén, A.: Dynamic routing on networks with fixed-size buffers. In: SODA, pp. 771–780 (2003)
Angelov, S., Khanna, S., Kunal, K.: The network as a storage device: Dynamic routing with bounded buffers. Algorithmica 55(1), 71–94 (2009) (Appeared in APPROX-05)
Awerbuch, B., Azar, Y., Plotkin, S.: Throughput-competitive on-line routing. In: FOCS 1993: Proceedings of the 1993 IEEE 34th Annual Foundations of Computer Science, pp. 32–40. IEEE Computer Society, Washington (1993)
Awerbuch, B., Azar, Y., Fiat, A.: Packet routing via min-cost circuit routing. In: ISTCS, pp. 37–42 (1996)
Azar, Y., Zachut, R.: Packet routing and information gathering in lines, rings and trees. In: ESA, pp. 484–495 (2005), see also manuscript in http://www.cs.tau.ac.il/~azar/
Borodin, A., El-Yaniv, R.: Online computation and competitive analysis. Cambridge University Press, New York (1998)
Buchbinder, N., Naor, J.S.: Improved bounds for online routing and packing via a primal-dual approach. In: Annual IEEE Symposium on Foundations of Computer Science, pp. 293–304 (2006)
Buchbinder, N., Naor, J.S.: The design of competitive online algorithms via a primal-dual approach. Foundations and Trends in Theoretical Computer Science 3(2-3), 99–263 (2009)
Even, G., Medina, M.: Online Centralized Deterministic Packet-Routing with Preemptions: A Polylogarithmic Competitive Ratio for Grids (2010) (submitted)
Räcke, H., Rosén, A.: Approximation algorithms for time-constrained scheduling on line networks. In: SPAA, pp. 337–346 (2009)
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Even, G., Medina, M. (2010). An O(logn)-Competitive Online Centralized Randomized Packet-Routing Algorithm for Lines. In: Abramsky, S., Gavoille, C., Kirchner, C., Meyer auf der Heide, F., Spirakis, P.G. (eds) Automata, Languages and Programming. ICALP 2010. Lecture Notes in Computer Science, vol 6199. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14162-1_12
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DOI: https://doi.org/10.1007/978-3-642-14162-1_12
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