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On the computation of fast data transmissions in networks with capacities and delays

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 955))

Abstract

We examine the problem of transmitting in minimum time a given amount of data between a source and a destination in a network with finite channel capacities and non-zero propagation delays. In the absence of delays, the problem has been shown to be solvable in polynomial time. In this paper, we show that the general problem is NP-hard. In addition, we examine transmissions along a single path, called the quickest path, and present algorithms for general and sparse networks that outperform previous approaches. The first dynamic algorithm for the quickest path problem is also given.

This work was partially supported by the EU ESPRIT BRA No. 7141 (ALCOM II) and the NSF grant MIP-940990.

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Selim G. Akl Frank Dehne Jörg-Rüdiger Sack Nicola Santoro

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© 1995 Springer-Verlag Berlin Heidelberg

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Kagaris, D., Pantziou, G.E., Tragoudas, S., Zaroliagis, C.D. (1995). On the computation of fast data transmissions in networks with capacities and delays. In: Akl, S.G., Dehne, F., Sack, JR., Santoro, N. (eds) Algorithms and Data Structures. WADS 1995. Lecture Notes in Computer Science, vol 955. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60220-8_71

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  • DOI: https://doi.org/10.1007/3-540-60220-8_71

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60220-0

  • Online ISBN: 978-3-540-44747-4

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