Approximation algorithm for estimating failure probability of multipath transmission
In a computer network where nodes can fail, multipath transmission can be used to increase the probability of successful transmission. However, even multipath transmission has a probability of failure, which depends on the selected paths. Hence, estimating this probability of failure is of great imp...
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| Veröffentlicht in: | Mathematics and computers in simulation Jg. 81; H. 9; S. 1729 - 1732 |
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| Sprache: | Englisch |
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Elsevier B.V
01.05.2011
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| ISSN: | 0378-4754, 1872-7166 |
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| Abstract | In a computer network where nodes can fail, multipath transmission can be used to increase the probability of successful transmission. However, even multipath transmission has a probability of failure, which depends on the selected paths. Hence, estimating this probability of failure is of great importance for designing good multipath routing algorithms. In this paper, we show that it is NP-hard to compute the failure probability of multipath transmission. Therefore, we design a polynomial-time approximation algorithm for estimating this failure probability and give analysis of its error bounds. We also compare the results of our approximation algorithm with the results of Matlab simulations. |
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| AbstractList | In a computer network where nodes can fail, multipath transmission can be used to increase the probability of successful transmission. However, even multipath transmission has a probability of failure, which depends on the selected paths. Hence, estimating this probability of failure is of great importance for designing good multipath routing algorithms. In this paper, we show that it is NP-hard to compute the failure probability of multipath transmission. Therefore, we design a polynomial-time approximation algorithm for estimating this failure probability and give analysis of its error bounds. We also compare the results of our approximation algorithm with the results of Matlab simulations. |
| Author | Zhang, Yuan Zhong, Sheng |
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| Cites_doi | 10.1137/0212053 10.1145/513800.513802 |
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| Keywords | Multipath transmission Polynomial complexity Error bound Approximation Computer network |
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| References | Provan, Ball (bib0015) 1983; 12 Ye, Krishnamurthy, Tripathi (bib0020) 2003 Park, Corson (bib0010) 1997 P. Papadimitratos, Z. Haas, E. Sirer, Path-set selection in mobile ad hoc networks, in: Proceedings of the Third ACM Symposium on Mobile Ad Hoc Networking and Computing, 2002, pp. 1–11. Ye (10.1016/j.matcom.2011.01.006_bib0020) 2003 10.1016/j.matcom.2011.01.006_bib0005 Provan (10.1016/j.matcom.2011.01.006_bib0015) 1983; 12 Park (10.1016/j.matcom.2011.01.006_bib0010) 1997 |
| References_xml | – start-page: 1405 year: 1997 end-page: 1413 ident: bib0010 article-title: A highly adaptive distributed routing algorithm for mobile wireless networks publication-title: Proceedings of IEEE INFOCOM – start-page: 270 year: 2003 end-page: 280 ident: bib0020 article-title: A framework for reliable routing in mobile ad hoc networks publication-title: Proceedings of IEEE INFOCOM – reference: P. Papadimitratos, Z. Haas, E. Sirer, Path-set selection in mobile ad hoc networks, in: Proceedings of the Third ACM Symposium on Mobile Ad Hoc Networking and Computing, 2002, pp. 1–11. – volume: 12 start-page: 777 year: 1983 end-page: 788 ident: bib0015 article-title: The complexity of counting cuts and computing the probability that a graph is connected publication-title: SIAM Journal on Computing – volume: 12 start-page: 777 issue: 4 year: 1983 ident: 10.1016/j.matcom.2011.01.006_bib0015 article-title: The complexity of counting cuts and computing the probability that a graph is connected publication-title: SIAM Journal on Computing doi: 10.1137/0212053 – start-page: 1405 year: 1997 ident: 10.1016/j.matcom.2011.01.006_bib0010 article-title: A highly adaptive distributed routing algorithm for mobile wireless networks – start-page: 270 year: 2003 ident: 10.1016/j.matcom.2011.01.006_bib0020 article-title: A framework for reliable routing in mobile ad hoc networks – ident: 10.1016/j.matcom.2011.01.006_bib0005 doi: 10.1145/513800.513802 |
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| SubjectTerms | Approximation Computer network Error bound Multipath transmission Polynomial complexity |
| Title | Approximation algorithm for estimating failure probability of multipath transmission |
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