Fast data transmission and maximal dynamic flow

Guoliang Xue, Shangzhi Sun, J. Ben Rosen

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

Let N = (V, A, c, l) be a network with node set V, arc set A, non-negative arc capacity function c and non-negative arc delay function l. We are interested in the fastest way to transmit f amount of data from a designated source node s ∈ V to a designated destination node d ∈ V. When the transmission is restricted to a single path, the problem is called the quickest path problem which has been well studied in the past few years and many efficient algorithms are known. When the transmission is not restricted to a single path, the problem is called the quickest flow problem or the minimum transmission time problem in the literature. Since data transmission is not restricted to a single path in the minimum transmission time problem, the problem was believed to be harder. In (Kagaris et al., 1995), it was proved that the minimum transmission time problem with integer capacities and real delays is NP-hard. In this paper, we show that the minimum transmission time problem with integer capacities and integer delays is equivalent to the maximal dynamic flow problem studied by Ford and Fulkerson in 1962 and therefore can be solved efficiently by their path decomposition algorithm.

Original languageEnglish (US)
Pages (from-to)127-132
Number of pages6
JournalInformation Processing Letters
Volume66
Issue number3
StatePublished - May 15 1998
Externally publishedYes

Fingerprint

Data Transmission
Data communication systems
Path
Arc of a curve
Integer
Vertex of a graph
Non-negative
Path Decomposition
Decomposition
Decomposition Algorithm
Efficient Algorithms
NP-complete problem

Keywords

  • Algorithms
  • Communication networks
  • Maximal dynamic flows
  • Minimum transmission time
  • Quickest paths
  • Shortest paths

ASJC Scopus subject areas

  • Computational Theory and Mathematics

Cite this

Fast data transmission and maximal dynamic flow. / Xue, Guoliang; Sun, Shangzhi; Rosen, J. Ben.

In: Information Processing Letters, Vol. 66, No. 3, 15.05.1998, p. 127-132.

Research output: Contribution to journalArticle

Xue, G, Sun, S & Rosen, JB 1998, 'Fast data transmission and maximal dynamic flow', Information Processing Letters, vol. 66, no. 3, pp. 127-132.
Xue, Guoliang ; Sun, Shangzhi ; Rosen, J. Ben. / Fast data transmission and maximal dynamic flow. In: Information Processing Letters. 1998 ; Vol. 66, No. 3. pp. 127-132.
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