Sixty Years of Network Reliability
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Agarwal, P.K., et al.: The resilience of WDM networks to probabilistic geographical failures. IEEE/ACM Trans. Netw. 21(5), 1525–1538 (2013)
Amin, A.T., Siegrist, K.T., Slater, P.J.: On the nonexistence of uniformly optimal graphs for pair-connected reliability. Networks 21(3), 359–368 (1991)
Amin, A.T., Siegrist, K.T., Slater, P.J.: On uniformly optimally reliable graphs for pairconnected reliability with vertex failures. Networks 23(3), 185–193 (1993)
Anderson, I.: Combinatorics of Finite Sets. Dover Books on Mathematics. Dover, New York (1987). ISBN: 9780486422572
Ball, M.O., Scott Provan, J.: Bounds on the reliability polynomial for shellable independence systems. SIAM J. Algebr. Discrete Methods 3(2), 166–181 (1982)
Ball, M.O., Scott Provan, J.: Calculating bounds on reachability and connectedness in stochastic networks. Networks 13(2), 253–278 (1983)
Barrera, J., Cancela, H., Moreno, E.: Topological optimization of reliable networks under dependent failures. Oper. Res. Lett. 43(2), 132–136 (2015)
Boesch, F.T.: On the synthesis of optimally reliable networks having unreliable nodes but reliable edges. In: INFOCOM ’88. Networks: Evolution or Revolution, Proceedings of the Seventh Annual Joint Conference of the IEEE Computer and Communcations Societies, pp. 829–834. IEEE (1988)
Brecht, T.B., Colbourn, C.J.: Lower bounds on two-terminal network reliability. Discrete Appl. Math. 21(3), 185–198 (1988)
Brown, J.I., Cox, D., Ehrenborg, R.: The average reliability of a graph. Discrete Appl. Math. 177, 19–33 (2014)
Brown, J.I., Li, X.: Uniformly optimal digraphs for strongly connected reliability. Networks 49(2), 145–151 (2007)
Bulka, D., Dugan, J.B.: A lower bound on the reliability of an n-dimensional hypercube. In: Proceedings Ninth Symposium on Reliable Distributed Systems, pp. 44–53 (1990)
Bulka, D., Dugan, J.B.: Network s–t reliability bounds using a 2-dimensional reliability polynomial. IEEE Trans. Reliab. 43(1), 39–45 (1994)
Burgos, J.M.: Factorization of network reliability with perfect nodes II: connectivity matrix. Discrete Appl. Math. 198, 91–100 (2016)
Burgos, J.M., Amoza, F.R.: Factorization of network reliability with perfect nodes I: introduction and statements. Discrete Appl. Math. 198, 82–90 (2016)
Canale, E., et al.: Diameter constrained reliability: complexity, distinguished topologies and asymptotic behavior. Networks 66(4), 296–305 (2015)
Canale, E., et al.: Full complexity analysis of the diameter-constrained reliability. Int. Trans. Oper. Res. 22(5), 811–821 (2015)
Cancela, H., et al.: Diameter constrained reliability of ladders and Spanish fans. Yugosl. J. Oper. Res. 26(1), 17–32 (2016)
Chen, Y., He, Z.: Bounds on the reliability of distributed systems with unreliable nodes and links. IEEE Trans. Reliab. 53(2), 205–215 (2004)
Colbourn, C.J.: The Combinatorics of Network Reliability. Oxford University Press, New York (1987). ISBN 0-19-504920-9
Colbourn, C.J., Harms, D.D., Myrvold, W.J.: Reliability polynomials can cross twice. J. Frankl. Inst. 330(3), 629–633 (1993)
de Abreu, N.M.M.: Old and new results on algebraic connectivity of graphs. Linear Algebra Appl. 423(1), 53–73 (2007)
Dugas, M.R., Samaniego, F.J.: On optimal system designs in reliability-economics frameworks. Nav. Res. Logist. 54(5), 568–582 (2007)
El-Amawy, A., Latifi, S.: Properties and performance of folded hypercubes. IEEE Trans. Parallel Distrib. Syst. 2(1), 31–42 (1991)
Elspas, B.: Topological constraints on interconnection-limited logic. In: 1964 Proceedings of the Fifth Annual Symposium on Switching Circuit Theory and Logical Design, pp. 133–137 (1964)
Evans, T., Smith, D.: Optimally reliable graphs for both edge and vertex failures. Networks 16(2), 199–204 (1986)
Gertsbakh, I., Shpungin, Y., Vaisman, R.: Ternary Networks: Reliability and Monte Carlo. Springer, Berlin (2014). ISBN 3319064398
Gertsbakh, I.B., Shpungin, Y.: Models of Network Reliability: Analysis, Combinatorics, and Monte Carlo, 1st edn. CRC Press, Boca Raton (2009). ISBN: 1439817413
Gertsbakh, I.B., Shpungin, Y.: Network Reliability and Resilience. Springer, Berlin (2011). ISBN 978-3-642-22373-0
Goldschmidt, O., Jaillet, P., Lasota, R.: On reliability of graphs with node failures. Networks 24(4), 251–259 (1994)
Gross, D.J., Saccoman, J.T., Suffel, C.L.: Spanning Tree Results for Graphs and Multigraphs: A Matrix-Theoretic Approach. World Scientific, Singapore (2014). ISBN: 9789814566056
Gunawan, I.: Fundamentals of Reliability Engineering: Applications in Multistage Interconnection Networks. Wiley, New York (2014). ISBN: 978-1-118-54956-8
Guo, L., Guo, X.: Fault tolerance of hypercubes and folded hypercubes. J. Supercomput. 68(3), 1235–1240 (2014)
Harms, D.D., et al.: Network Reliability. Experiments with a Symbolic Algebra Environment. CRC Press, Boca Raton (1995). ISBN: 0-8493-3980-4
Hu, X.D., Hwang, F.K.: Survival reliabilities of double loop networks. In: Global Telecommunications Conference, 1990, and Exhibition. ‘Communications: Connecting the Future’ (GLOBECOM’90), vol.2, pp. 674–677. IEEE (1990)
Hu, X.D., Hwang, F.K., Li, W.-C.I.W.: Most reliable double loop networks in survival reliability. Networks 23(5), 451–458 (1993)
Hwang, F.K., Wright, P.E.: Survival reliability of some double-loop networks and chordal rings. IEEE Trans. Comput. 44(12), 1468–1471 (1995)
Hwang, F.K., Li, W.-C.W.: Reliabilities of double-loop networks. Probab. Eng. Inf. Sci. 5(3), 255272 (1991)
Hwang, F.K., Wright, P.E., Hu, X.D.: Exact reliabilities of most reliable double-loop networks. Networks 30(2), 81–90 (1997)
Jukna, S.: Extremal Combinatorics: With Applications in Computer Science. Texts in Theoretical Computer Science. An EATCS Series. Springer, Berlin (2001). ISBN 9783540663133
Karp, R.M., Luby, M.: Monte-Carlo algorithms for the planar multiterminal network reliability problem. J. Complex. 1(1), 45–64 (1985)
Kelmans, A.: Connectivity of probabilistic networks. Autom. Remote Control 29, 444–460 (1967)
Kelmans, A.: Some problems of network reliability analysis. Autom. Remote Control 26, 564–573 (1965)
Kirchhoff, G.: Über die Auflösung der Gleichungen, auf welche man bei der Untersuchung der linearen Vertheilung galvanischer Ströme geführt wird. Ann. Phys. 148, 497–508 (1847)
Kuo, S.Y., Yeh, F.M., Lin, H.Y.: Efficient and exact reliability evaluation for networks with imperfect vertices. IEEE Trans. Reliab. 56(2), 288–300 (2007)
Liu, S., Cheng, K.-H., Liu, X.: Network reliability with node failures. Networks 35(2), 109–117 (2000)
Long, X., Tipper, D., Gomes, T.: Measuring the survivability of networks to geographic correlated failures. In: Optical Switching and Networking 14, Part 2 (2014). Special Issue on RNDM, pp. 117–133 (2013)
McAssey, M.P., Samaniego, F.J.: On uniformly optimal networks: a reversal of fortune? Commun. Stat. Theory Methods 43(10–12), 2452–2467 (2014)
Mohamed, M.H.S., et al.: An efficient evaluation for the reliability upper bound of distributed systems with unreliable nodes and edges. Int. J. Eng. Technol. 2(2), 107–110 (2010)
Monakhova, E.A.: A survey on undirected circulant graphs. In: Discrete Mathematics, Algorithms and Applications 04.01 (2012), p. 1250002
Moore, E.F., Shannon, C.E.: Reliable circuits using less reliable relays. J. Frankl. Inst. 262(3), 191–208 (1956)
Myrvold, W.: Reliable network synthesis: some recent developments. In: Proceedings of International Conference on Graph Theory, Combinatorics, Algorithms, and Applications. vol. 2, pp. 651–660 (1999)
Page, L.B., Perry, J.E.: A practical implementation of the factoring theorem for network reliability. IEEE Trans. Reliab. 37(3), 259–267 (1988)
Petingi, L., Rodriguez, J.: Reliability of networks with delay constraints. Congr. Numer. 152, 117–123 (2001)
Politof, T., Satyanarayana, A.: A linear-time algorithm to compute the reliability of planar cube-free networks. IEEE Trans. Reliab. 39(5), 557–563 (1990)
Politof, T., Satyanarayana, A.: Efficient algorithms for reliability analysis of planar networks—a survey. IEEE Trans. Reliab. 35(3), 252–259 (1986)
Provan, S.J.: The complexity of reliability computations in planar and acyclic graphs. SIAM J. Comput. 15(3), 694–702 (1986)
Rodriguez-Velazquez, J.A., Kamisalic, A., Domingo-Ferrer, J.: On reliability indices of communication networks. Comput. Math. Appl. 58(7), 1433–1440 (2009)
Samaniego, F.J.: System Signatures and their Applications in Engineering Reliability. International Series on Operations Research and Management Science. Springer, Berlin (2007). ISBN: 978-0-387-71797-5
Satyanarayana, A., Chang, M.K.: Network reliability and the factoring theorem. Networks 13(1), 107–120 (1983)
Satyanarayana, A., Tindell, R.: Efficient Algorithms for the Evaluation of Planar Network Reliability. Tech. rep. DTIC Document (1993). http://oai.dtic.mil/oai/oai?verb=getRecord&metadataPrefix=html&identifier=ADA263602
Satyanarayana, A., KevinWood, R.: A linear-time algorithm for computing K-terminal reliability in series-parallel networks. SIAM J. Comput. 14(4), 818–832 (1985)
Shier, D.R.: Network Reliability and Algebraic Structures. Oxford University Press, Oxford (1991)
Shpungin, Y.: Networks with unreliable nodes and edges: Monte Carlo lifetime estimation. Int. J. Electr. Comput. Energ. Electron. Commun. Eng. 1(3):458–463. (2007). ISSN: 2010-376X
Smith, D.H.: Optimally reliable graphs for both vertex and edge failures. Comb. Probab. Comput. 2(1), 93100 (1993)
Smith, D.H., Doty, L.L.: On the construction of optimally reliable graphs. Networks 20(6), 723–729 (1990)
Soh, S., Rai, S., Trahan, J.L.: Improved lower bounds on the reliability of hypercube architectures. IEEE Trans. Parallel Distrib. Syst. 5(4), 364–378 (1994)
Theologou, O.R., Carlier, J.G.: Factoring and reductions for networks with imperfect vertices. IEEE Trans. Reliab. 40(2), 210–217 (1991)
Tripathy, C.R., Mahapatra, R.N., Misra, R.B.: Reliability analysis of hypercube multicomputers. Microelectron. Reliab. 37(6), 885–891 (1997)
Vertigan, D.: The computational complexity of tutte invariants for planar graphs. SIAM J. Comput. 35(3), 690–712 (2005)
Wood, R.K.: Factoring algorithms for computing k-terminal network reliability. IEEE Trans. Reliab. 35(3), 269–278 (1986)
Yu, S., Shao, F.-M., Meng, H.: Uniformly optimal graphs in some classes of graphs with node failures. Discrete Math. 310(1), 159–166 (2010)
Zhou, Q., et al.: Network Robustness under Large-Scale Attacks. Springer, Berlin (2013). ISBN: 978- 1-4614-4859-4