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Renewal Networks: Connectivity and Reachability on a Time Interval

Published online by Cambridge University Press:  27 July 2009

Charles J. Colbourn  and
Michael V. Lomonosov
Charles J. Colbourn
Affiliation:
Department of Combinatorics and Optimization University of Waterloo, Waterloo, Ontario, CanadaN2L 3G 1
Michael V. Lomonosov
Affiliation:
Department of Mathematics and Computer Science Ben Gurion University of the Negev Beer, Sheva 84 120, Israel
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Abstract

Efficiently computable bounds are developed for the time to first failure in a communications network with renewable links. The bounds approximate a network with bidirectional or unidirectional links by acyclic networks with unidirectional links.

Type
Articles
Information
Probability in the Engineering and Informational Sciences , Volume 5 , Issue 3 , July 1991 , pp. 361 - 368
Copyright
Copyright © Cambridge University Press 1991

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References

REFERENCES

Colbourn, C.J. (1987). The combinatorics of network reliability. New York: Oxford University Press.Google Scholar
Colbourn, C.J. (1991). A note on bounding k-terminal reliability. Algorithmica (to appear).Google Scholar
Edmonds, J. (1972). Edge-disjoint branchings. In Rustin, R. (ed.), Combinatorial algorithms. New York: Algorithmics Press, pp. 91–96.Google Scholar
Feller, W. (1966). An introduction to probability theory and its applications. New York: Wiley.Google Scholar
Lomonosov, M.V. (1974). Bernoulli scheme with closure. Problems of Information Transmission 10: 73–81.Google Scholar
Nakazawa, H. (1979). Equivalence of a nonoriented line and a pair of oriented lines in a network. IEEE Transactions on Reliability R28: 364–367.CrossRefGoogle Scholar
Provan, J.S. (1986). The complexity of reliability computations on planar and acyclic graphs. SIAM Journal of Computing 15: 694–702.CrossRefGoogle Scholar
Vertigan, D. (1991). The computational complexity of Tutte invariants for planar graphs (preprint).Google Scholar