Reliability Issues In Telecommunications Network Planning

  • Charles J. Colbourn
Part of the Centre for Research on Transportation book series (CRT)


Given a set of geographically distributed sites, information about the traffic between them, and information about the means by which they can be connected (links), the network design problem is to select some of the candidate connections. The goals in this selection typically include keeping the cost within a specified budget and providing sufficient connections to support the traffic offered at a specified capacity, speed, or throughput. Of course, the wide variety of traffic types and patterns, and of means of connection, results in a significant range of network design problems.


Network Design Link Failure Network Design Problem Network Reliability Reliability Issue 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. Assous, J.Y. (1986). First and Second Order Bounds for Terminal Reliability. Networks, 16:319–329.CrossRefGoogle Scholar
  2. Ball, M.O., C. J. Colbourn and J.S. Provan. (1995). Network Reliability. In M.O. Ball, T.L. Magnanti and G.L. Nemhauser (eds), Network Models, Handbooks in Operations Research and Management Science, pages 673–762. Elsevier, North-Holland, Amsterdam.Google Scholar
  3. Buchsbaum, A.L. and M. Mihail. (1995). Monte Carlo and Markov Chain Techniques for Network Reliability and Sampling. Networks, 25:117–130.CrossRefGoogle Scholar
  4. Carey, M. and C. Hendrickson. (1984). Bounds on Expected Performance with Links Subject to Failure. Networks, 14:439–456.CrossRefGoogle Scholar
  5. Carrasco, E.H. and C.J. Colbourn. (1986). Reliability Bounds for Networks with Statistical Dependence. Proceedings of INFOCOM′86, Miami, pages 290–292.Google Scholar
  6. Chamberland, S. and B. Sansò. (1997). Sequential and Parallel Algorithms that Incorporate Reliability into the Joint Routing and Capacity Assignment Problem for Computer Networks. Journal of Networks and Systems Management, 5(2):131–157.CrossRefGoogle Scholar
  7. Chiou, S.-N. and V.O.K. Li. (1986). Reliability Analysis of a Communication Network with Multimode Components. IEEE Transactions on Selected Areas in Communications, SAC-4:1156–1161.CrossRefGoogle Scholar
  8. Colbourn, C.J. (1987). The Combinatorics of Network Reliability. Oxford University Press, Oxford and New York.Google Scholar
  9. Colbourn, C.J. (1991). Network Reliability: Numbers or Insight? Annals of Operations Research, 33:87–93.Google Scholar
  10. Colbourn, C. J., M. Elbert, E. Litvak and T. Weyant. (1992). Performability Analysis of Large-Scale Packet-Switching Networks. International Conference on Communications (SUPERCOMM/ICC), Chicago, pages 416–419.Google Scholar
  11. Colbourn, C.J. and L.D. Nel. (1990). Using and Abusing Bounds for Network Reliability. Proceedings of IEEE Telecommunications Conference (Globecom ′90), IEEE Press, pages 663–667.Google Scholar
  12. Devitt, J.S. and C.J. Colbourn. (1992). On Implementing an Environment for Investigating Network Reliability. In Computer Science and Operations Research, pages 159–173. Pergamon Press, New York, NY.Google Scholar
  13. Elperin, T., I. Gertsbakh and M.V. Lomonosov. (1991). Network Reliability Estimation using Graph Evolution Models. IEEE Transactions on Reliability, R-40:572–581.CrossRefGoogle Scholar
  14. Fishman, G.S. (1986). A Comparison of Four Monte Carlo Methods for Estimating the Probability of (s,t)-Connectedness. IEEE Transactions on Reliability, R-35:145–155.CrossRefGoogle Scholar
  15. Frank, H. and W. Chou. (1974). Network Properties of the ARPA Computer Network. Networks, 4:213–239.CrossRefGoogle Scholar
  16. Frank, H. and LT. Frisch. (1971). Communication, Transmission and Transportation Networks, Addison-Wesley, Reading, MA.Google Scholar
  17. Frank, H., R.E. Kahn and L. Kleinrock. (1972). Computer Communication Network Design — Experience with Theory and Practice. AFIPS Conference Proceedings, 40:255–270.Google Scholar
  18. Gavish, B. and K. Altinkemer. (1990). Backbone Network Design Tools with Economic Tradeoffs. ORSA Journal on Computing, 2:236–252CrossRefGoogle Scholar
  19. Girard, A. and B. Sansò. (1998). Multicommodity Flow Models, Failure Propagation and Reliable Network Design. IEEE/ACM Transportations on Networking, 6(1):82–93.CrossRefGoogle Scholar
  20. Hansen, P., B. Jaumard and G.-B.D. Nguetsé. (1996). Best Second Order Bounds for Two-Terminal Network Reliability with Dependent Edge Failures. Les Cahiers du GERAD, G-94-01, École des Hautes Études Commerciales, Montréal.Google Scholar
  21. Harms, D.D. and C.J. Colbourn. (1994). Evaluating Performability: Most Probable States and Bounds. Telecommunication Systems, 2:275–300.Google Scholar
  22. Harms, D.D., M. Kraetzl, C.J. Colbourn and J.S. Devitt. (1995). Network Reliability: Experiments with a Symbolic Algebra Environment. CRC Press, Boca Raton FL.Google Scholar
  23. Jarvis, J.P. and D.R. Shier. (1993). An Algorithm for Approximating the Performance of Telecommunications Systems. Proceedings of the Telecommunication Systems Conference, Nashville, TN.Google Scholar
  24. Karger, D, (1995). A Randomized Fully Polynomial Time Approximation Scheme for the All Terminal Network Reliability Problem. Proceedings of the Symposium on Theory Com/put.Google Scholar
  25. Karger, D. (1997). Implementing a Randomized Fully Polynomial Time Approximation Scheme for the All Terminal Network Reliability Problem. Proceedings of the Symposium on Discrete Algorithms.Google Scholar
  26. Kubat, P. (1989). Estimation of Reliability for Communication/Computer Networks — Simulation/Analytic Approach. IEEE Transactions on Communications, COM-37:927–933.CrossRefGoogle Scholar
  27. Kubat, P., U. Sumita and Y. Masuda. (1988). Dynamic Performance Evaluation of Communication/Computer Systems with Highly Reliable Components. Prob. Eng. Inf. Sci., 2:185–213.CrossRefGoogle Scholar
  28. Lam, Y.F. and V.O.K. Li. (1986). Reliability Modeling and Analysis of Communications Networks with Dependent Failures. IEEE Transactions on Communications, COM-34:82–84.CrossRefGoogle Scholar
  29. Lam, Y.F. and V.O.K. Li. (1986a). An Improved Algorithm for Performance Analysis of Networks with Unreliable Components, IEEE Transactions on Communications, COM-34:496–497.CrossRefGoogle Scholar
  30. Li, V.O.K. and J.A. Silvester. (1984). Performance Analysis of Networks with Unreliable Components. IEEE Transactions on Communications, COM-32:1105–1110.CrossRefGoogle Scholar
  31. Meyer, J.F. (1992). Performability: A Retrospective and some Pointers to the Future. Performance Evaluation, 14:139–156.CrossRefGoogle Scholar
  32. Nel, L.D. and C.J. Colbourn. (1990). Combining Monte Carlo Estimates and Bounds for Network Reliability. Networks, 20:277–298.CrossRefGoogle Scholar
  33. Sansò, B., M. Gendreau and F. Soumis. (1992). An Algorithm for Network Dimensioning under Reliability Consideration. Annals of Operations Research, 36:263–274.CrossRefGoogle Scholar
  34. Sansò, B. and F. Soumis. (1991). Communication and Transportation Network Reliability using Routing Models. IEEE Transactions on Communications, COM-39:1494–1501.CrossRefGoogle Scholar
  35. Sansò, B., F. Soumis and M. Gendreau. (1991). On the Evaluation of Telecommunications Network Reliability using Routing Models. IEEE Transactions on Reliability, R-40:29–38.CrossRefGoogle Scholar
  36. Shier, D.R. (1988). A New Algorithm for Performance Analysis of Communication Systems. IEEE Transactions on Communications, COM-36:516–519.CrossRefGoogle Scholar
  37. Shier, D.R. (1991). Network Reliability and Algebraic Structures. Oxford University Press, Oxford and New York.Google Scholar
  38. Shier, D.R. and J.D. Spragins. (1985). Exact and Approximate Dependent Failure Models for Telecommunications Networks. Proceedings of INFOCOM′85, pages 200–205.Google Scholar
  39. Shier, D.R., E. Valvo and R. Jamison. (1992). Generating the States of a Binary Stochastic System. Discrete Applied Mathematics, 38:489–500.CrossRefGoogle Scholar
  40. Shier, D.R. and D.E. Whited. (1987). Algebraic Methods Applied to Network Reliability Problems. SIAM Journal on Algebraic Discrete Methods, 8:251–262.CrossRefGoogle Scholar
  41. Spragins, J.D., J.C, Sinclair, Y.J. Kang and H. Jafari. (1986). Current Telecommunication Network Reliability Models: A Critical Assessment. IEEE Transactions on Selected Areas in Communications, SAC-4:1168–1173.CrossRefGoogle Scholar
  42. Valvo, E.J., D.R. Shier and R.E. Jamison. (1987). Generating the Most Probable States of a Communication System. Proceedings of INFOCOM′87, pages 1128–1136.Google Scholar
  43. Yang, C.-L. and P. Kubat. (1989). Efficient Computation of Most Probable States for Communication Networks with Multimode Components. IEEE Transactions on Communications, COM-37:535–538.CrossRefGoogle Scholar
  44. Yang, C.-L. and P. Kubat. (1990). An Algorithm for Network Reliability Bounds. ORSA Journal on Computing, 2:336–345.CrossRefGoogle Scholar
  45. Zemel, E. (1982). Polynomial Algorithms for Estimating Network Reliability. Networks, 12:439–452.CrossRefGoogle Scholar

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© Springer Science+Business Media New York 1999

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  • Charles J. Colbourn

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