Reliability Analysis of Facility Systems Subject to Edge Failures: Based on the Uncapacitated Fixed-Charge Location Problem

References

[1] J. C. James and S. A. Salhi, “Tabu Search Heuristic for the Location of Multi-Type Protection Devices on Electrical Supply Tree Networks,” Journal of Combinatorial Optimization, Vol. 6, No. 1, 2002, pp. 81-98.
doi:10.1023/A:1013322309009

[2] H. A. Eiselt, M. Gendreau and G. Laporte, “Location of Facilities on a Network Subject to a Single-Edge Failure,” Networks, Vol. 22, No. 3, 1992, pp. 231-246.
doi:10.1002/net.3230220303

[3] C. L. Monma, “Minimum-Weight Two Connected Spanning Networks,” Mathematical Programming, Vol. 46, No. 2, 1990, pp. 153-171. doi:10.1007/BF01585735

[4] C. L. Monma and D. F. Shalcross, “Methods for Designing Communications Networks with Certain 2-Connected Survivability Constraints,” Operations Research, Vol. 37, No. 4, 1989, pp. 531-541. doi:10.1287/opre.37.4.531

[5] D. E. Bienstock, E. F. Brickell and C. L. Monma, “On the Structure of Minimum Weight Kconnected Spanning Networks,” SIAM Journal on Discrete Mathematics, Vol. 3, No. 3, 1990, pp. 320-329. doi:10.1137/0403027

[6] B. Fortz and M. Labbe, “Polyhedral Results for Two-Connected Networks with Bounded Rings,” Mathematical Programming Series A, Vol. 93, No. 1, 2002, pp. 27- 54. doi:10.1007/s10107-002-0299-9

[7] M. Bundschuh, D. Klabjan and D. L. Thurston, “Modeling Robust and Reliable Supply Chains,” Working Paper, University of Illinois, Urbana-Champaign, IL. 2003.

[8] D. A. Erlenkotter, “A Dual-Based Procedure for Uncapacitated Facility Location,” Operations Research, Vol. 26, No. 6, 1978, pp, 992-1009. doi:10.1287/opre.26.6.992

[9] M. L. Balinski, “Integer Programming: Methods, Uses, Computation,” Management Science, Vol. 12, No. 3, 1965, pp. 253-313. doi:10.1287/mnsc.12.3.253

[10] R. D. Galvao and L. A. Raggi, “A Method for Solving to Optimality Un-Capacitated Location Problems,” Annals of Operations Research, Vol. 18, No. 1, 1989, pp. 225-244. doi:10.1007/BF02097805

[11] L. V. Snyder and Z. J. M. Shen, “Managing Disruptions to Supply Chains,” The Bridge National Academy of Enginee-Ring, Vol. 36, 2006, pp. 39-45 (Forthcoming).

[12] P. B. Mirchandani and R. L. Francis, “Discrete location Theory,” Wiley, New York, 1990.

[13] J. Krarup and P. M. Pruzan, “The Simple Plant Location Problem: Survey and Synthesis,” European Journal of Operational Research, Vol. 12, No. 1, 1983, pp. 36-81.
doi:10.1016/0377-2217(83)90181-9

[14] R. D. Carr, et al. “Robust Optimization of Contaminant Sensor Placement for Community Water Systems,” Mathematical Programming, Vol. 107, No.1-2, 2005. 337-356. doi:10.1007/s10107-005-0689-x

[15] R. L.Church, M. P. Scaparra and R. S. Middleton, “Identifying Critical Infrastructure, the Median and Covering Facility Interdiction Problems,” Annals of the Association of American Geographers, Vol. 94, No. 3, 2004, pp. 491- 502. doi:10.1111/j.1467-8306.2004.00410.x

[16] R. L. Church and M. P. Scaparra, “Critical Infrastructure,” Chapter 11, Springer Berlin Heidelberg, Berlin, 2007.