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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References
Y. L. Chen and Y. H. Chin, “The quickest path problem”, Computers and Operations Research, 17, pp. 153–161, 1990.
H. N. Djidjev, G. E. Pantziou and C. D. Zaroliagis, “On-line and Dynamic Algorithms for Shortest Path Problems,” Proc. 12th Symp. on Theor. Aspects of Computer Science (STACS'95), LNCS 900, pp.193–204, Springer-Verlag, 1995.
G. N. Frederickson, “Planar Graph Decomposition and All Pairs Shortest Paths,” J. ACM, Vol.38, No. 1, pp.162–204, 1991.
G. N. Frederickson, “Using Cellular Graph Embeddings in Solving All Pairs Shortest Path Problems”, Proc. 30th Annual IEEE Symp. on FOCS, 1989, pp.448–453.
G.N. Frederickson, “Searching among Intervals and Compact Routing Tables”, Proc. 20th ICALP, 1993, LNCS 700, pp.28–39, Springer-Verlag.
M. L. Fredman and R. E. Tarjan, “Fibonacci heaps and their uses in improved network optimization algorithms,” J. ACM, Vol. 34, pp. 596–615, 1987.
M.R. Garey, and D.S. Johnson, “Computers and Intractability. A Guide to the Theory of NP-Completeness”, W.H. Freeman and Company, New York, NY, 1979.
Y.-C. Hung and G.-H. Chen, “On the quickest path problem,” Proc. ICCI'91, LNCS 497, Springer-Verlag, pp. 44–46, 1991.
A. Itai, and M. Rodeh, “Scheduling Transmissions in a Network”, Journal of Algorithms, 6, pp. 409–429, 1985.
J.B. Rosen, S.Z. Sun and G.L. Xue, “Algorithms for the quickest path problem and the enumeration of quickest paths,” Comp. and O.R., 18, pp.579–584, 1991.
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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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